| Number |
Name |
Instructor, Quarter, and Description |
| anthsci 149/ anthsci 208 |
Models and Imaging in Archaeological Computing |
John Rick Winter 2005-2006 Hands-on
archaeo-logical field research in the local area. The practical working methodology of
the archaeologist through excavation and site survey with training in registration
preservation and analysis of archaeological data. |
| biomedin 251 |
Outcome Analysis |
Jay Bhattacharya Spring
2005-2006 Introduction to methods of conducting
empirical studies which use large existing medical survey and other databases to ask
both clinical and policy questions. Econometric and statistical models used to conduct
medical outcomes research. How research is conducted on medical and health economics
questions when a randomized trial is impossible. Problem sets emphasize hands-on data
analysis and application of methods including re-analyses of well-known studies.
Prerequisites: one or more courses in probability and statistics or biostatistics.
Uses Stata |
| biomedin 303 |
Statistics for Research |
Michael Walker given 2006-2007 Statistical methods commonly used in research. Emphasis is on when
and how to use the methods rather than on proofs. How to describe data and detect
unusual values compare treatment effects interpret p-values detect and quantify
trends detect and measure association and correlation determine the sample size and
power for an experiment and choose statistical tests and software. Topics include
descriptive statistics (mean median standard deviation standard error)
probability paired and unpaired t-tests analysis of variance correlation
regression chi-square discriminant analysis and power and sample size. Statistical
analysis software including Excel and Statistica. |
| econ 170/270 |
Intermediate Econometrics I |
Hansen
Mahajan Autumn 2005-2006 Probability random variables and distributions; large sample
theory; theory of estimation and hypothesis testing. Limited enrollment. Prerequisites:
math and probability at the level of Chapter 2 Paul G. Hoel Introduction to
Mathematical Statistics 5th ed. |
| econ 171/271 |
Intermediate Econometrics II |
Frank
Wolak Autumn 2005-2006 Linear regression model relaxation of classical-regression
assumptions simultaneous equation models linear time series analysis. Limited
enrollment. Prerequisite: 270. |
| econ 172/272 |
Intermediate Econometrics III |
Thomas
MaCurdy Winter 2005-2006 Continuation of 271. Nonlinear estimation qualitative response
models limited dependent variable (Tobit) models. Limited enrollment. Prerequisite:
271. |
| econ 273a |
Advanced Econometrics I |
Frank
Wolak Winter 2005-2006 Parametric asymptotic theory. Large-sample properties of estimators
defined as the solution to an optimization problem under a variety of assumptions for
the true data generation process. General large sample results for maximum likelihood
nonlinear least squares nonlinear instrumental variables estimators including the
generalized method of moments estimator under general conditions. Asymptotic hypothesis
testing procedures derived for each estimation framework. |
| econ 273b |
Advanced Econometrics II |
Aprajit
Mahajan Spring 2005-2006 Simulations methods. Semiparametric and nonparametric methods.
Optimal rate of convergence and semiparametric efficiency bounds. Prerequisite:
273A. |
| econ 274 |
Limited Dependent Variables |
Ryu Keun-Kwan Spring 2005-2006 Discrete choice
models; Tobit models; Markov chain and duration models. Prerequisite: 273 or consent of
instructor. |
| econ 275 |
Time Series and Simultaneous Equation |
Peter Hansen Winter 2005-2006 Stochastic processes in the time and frequency domain. Time and
frequency domain estimation. Unit roots co-integration time-varying conditional
second moment models instrumental variables estimation of dynamic
models. |
| educ 250a |
Statistical Analysis in Educational Research |
Sean
Reardon Winter 2005-2006 Primarily for doctoral students. Regression and categorical models as
widely used data-analytic procedures. Topics: basic regression including multiple and
curvilinear regression regression diagnostics analysis of residuals and model
selection logistic regression analysis of categorical data. Proficiency with
statistical computer packages. Prerequisite: 160 or equivalent. (all
areas) |
| educ 250b |
Statistical Analysis in Educational Research: Analysis of Variance |
Rich
Shavelson Spring 2005-2006 Primarily for doctoral students. Variance models as widely used data
analytic procedures especially in experimental quasi-experimental and
criterion-group designs. Topics: single-factor ANOVA the factorial between and within
subjects and mixed design ANOVA (fixed random and mixed models) analysis of
covariance multiple comparison procedures. Prerequisite: 160X or equivalent. (all
areas) |
| educ 250c |
Statistical Analysis in Educational Research: Applied Multivariate
Analysis |
Olkin
Ingram Winter 2005-2006 Primarily for doctoral students in education social and
behavioral sciences. Multivariate analysis of variance discriminant analysis factor
analysis correlation analysis. Advanced regression methods. Data compression:
principal components analysis clustering. Computer packages for data analysis.
Prerequisites: 250B 257 STATS 200 or equivalent. (all areas) |
| educ 257a b |
Statistical Methods for Behavioral and Social Sciences |
David
Rogosa not given 2005-2006 For students with experience in empirical research. Analysis of data
from experimental studies through factorial designs randomized blocks repeated
measures; regression methods through multiple regression model building analysis of
covariance; categorical data analysis through log-linear models logistic regression.
Integrated with the use of statistical computing packages. Prerequisite: analysis of
variance and regression at the level of STATS 161. |
| educ 259 |
Application of Hierarchical Linear Models in Behavioral and Social
Research |
Anthony
Bryk Winter 2005-2006 The measurement of change and the assessment of multi-level effects
or the unit of analysis problem. The inadequacy of traditional statistical techniques
for the modeling of hierarchy. |
| educ 260x |
Popular Advanced Statistical Methods |
David
Rogosa Spring 2005-2006 Methods for accommodating the nested structure of educational data
such as students within classrooms within schools which arise as units of analysis
problems ecological regression or hierarchical linear models. Methods for complex
measurement models in regression settings known as structural equation models causal
models covariance structures. See
http://www.stanford.edu/class/ed260. |
| educ 257c/ Soc257 |
Inference in Quantitative Educational and Social Science
Research |
Sean
Reardon not given 2005-2006 Quantitative methods to make causal inferences in the absence of
randomized experiment including the use of natural and quasi-experiments instrumental
variables regression discontinuity matching estimators longitudinal methods
fixed effects estimators and selection modeling. Assumptions implicit in these
approaches and appropriateness in research situations. Students develop research
proposals relying on these methods. Prerequisites: exposure to quantitative research
methods; multivariate regression. |
| educ 351 |
Design and Analysis of Longitudinal Research |
David
Rogosa Winter 2005-2006 The analysis of longitudinal data as central to empirical research on
learning and development. Topics: growth models measurement of change reciprocal
effects stability analysis of durations including survival analysis and
experimental and non-experimental group comparisons. See http://www.stanford.edu/~rag/.
Prerequisite: statistics at the level of 257. |
| hrp 259 |
Introduction to Probability and Statistics for Epidemiology |
Kristen Cobb Autumn 2005-2006 Topics: random
variables expectation variance probability distributions the central limit
theorem sampling theory hypothesis testing confidence intervals. Correlation
regression analysis of variance and nonparametric tests. Introduction to least
squares and maximum likelihood estimation. Emphasis is on medical
applications. |
| hrp 262/ Stats 262 |
Intermediate Biostatistics: Regression Prediction
Survival Analysis |
Kristen Cobb Spring 2005-2006 Methods for
analyzing longitudinal data. Topics include Kaplan-Meier methods Cox regression
hazard ratios time-dependent variables longitudinal data structures profile plots
missing data modeling change MANOVA repeated-measures ANOVA GEE and mixed
models. Emphasis is on practical applications. Prerequisites: basic ANOVA and linear
regression. |
| ips201b |
Applied Econometrics |
Anne Royalty Spring 2005-2006 Econometric
modeling techniques and applications. Theory including bivariate and multivariate
regression analysis inference and hypothesis testing heteroscedasticity
autocorrelation and simultaneous-equation models. |
| mgtecon603 |
Econometric Methods I |
Peter Reinhard
Hansen Autumn 2005-2006 This course has the object of giving students basic concepts and
abilities in econometrics including linear regressions of various types and the
testing of certain types of hypotheses. The course emphasizes geometrically motivated
methods such as orthogonal projection. Some examples for application will be chosen
from economics. The prerequisite for this course is a strong degree of familiarity with
statistics for example a good understanding of Mood Graybill and Boes'
Introduction to the Theory of Statistics third edition (New York McGraw-Hill
1974). Students should therefore also be conversant with undergraduate calculus and
linear algebra. |
| mgtecon604 |
Econometric Methods II |
Alan T. Sorensen or
Kenneth J. Singleton Winter 2005-2006 This course presents a comprehensive treatment of econometric
methods for linear models. Among the topics covered are: the classical linear regression
model heteroskedasticity and lagged dependent variables linear simultaneous
equations systems panel data dichotomous dependent variables and sample selection
issues. Throughout maximum likelihood and instrumental variables estimation strategies
and hypothesis testing procedures are discussed. |
| mgtecon605 |
Econometric Methods III |
Peter C. Reiss Spring 2005-2006 This course completes the first-year sequence in econometrics. The
course initially develops the theoretical and practical aspects of maximum likelihood
quasi-maximum likelihood GMM and non-linear estimators in greater detail. The
instructor will then discuss how these methods are used in practice. Time permitting
we will briefly consider more advanced topics and applications including: time series
methods non-parametric estimators and simulation estimators. |
| peteng242/ ges 242 |
Topics in Advanced Geostatistics |
Andre Journel not given 2005-2006 Conditional
expectation theory and projections in Hilbert spaces; parametric versus non-parametric
geostatistics; Boolean Gaussian fractal indicator and annealing approaches to
stochastic imaging; multiple point statistics inference and reproduction; neural net
geostatistics; Bayesian methods for data integration; techniques for upscaling
hydrodynamic properties. May be repeated for credit. Prerequisites: 240 advanced
calculus C++/Fortran. |
| peteng245 / geophys 245 |
Probability Theory |
Albert Tarantola not given 2005-2006 Probabilistic formulations and solutions to inverse problems. Monte
Carlo methods for solving inverse problems. Metropolis algorithm. Deterministic
solutions using maximum likelihood gradient methods. Dealing with prior probability
and data uncertainty. Gaussian and non-Gaussian model formulations. Application to earth
science problems. Prerequisite: introduction to probability theory
course. |
| peteng284 |
Optimization: Deterministic and Stochastic Approaches |
Roland N Horne Autumn 2005-2006 Deterministic
and stochastic methods for optimization in earth sciences and engineering. Linear and
nonlinear regression classification and pattern recognition using neural networks
simulated annealing and genetic algorithms. Deterministic optimization using
non-gradient-based methods (simplex) and gradient-based methods (conjugated gradient
steepest descent Levenberg-Marquardt Gauss-Newton) eigen-value and singular value
decomposition. Applications in petroleum engineering geostatistics and geophysics.
Prerequisite: CME 200 (formerly ME 200A) or consent of instructor. |
| polisci150b/350b |
Political Methodology II |
Simon
Jackman Winter 05-06 Understanding and using the linear regression model in a
social-science context: properties of the least squares estimator; inference and
hypothesis testing; assessing model fit; presenting results for publication;
consequences and diagnosis of departures from model assumptions; outliers and
influential observations graphical techniques for model fitting and checking;
interactions among exploratory variables; pooling data; extensions for binary responses.
GER:DB-Math |
| polisci 150a/350a |
Political Methodology I |
Douglas
Rivers Autumn 05-06 Introduction to probability and statistical inference with
applications to political science and public policy. Prerequisite: elementary calculus.
GER:DB-Math |
| polisci 150c/350c |
Political Methodology III |
Douglas Rivers,
Jonathan Wand Spring 05-06 Models for discrete outcomes time series measurement error and
simultaneity. Introduction to nonlinear estimation large sample theory. Prerequisite:
150B/350B. |
| polisci 152/352 |
Introduction to Game Theoretic Methods in Political Science |
James
Fearon Winter 05-06 Concepts and tools of non-cooperative game theory developed using
political science questions and applications. Formal treatment of Hobbes' theory of the
state and major criticisms of it; examples from international politics. Primarily for
graduate students; undergraduates admitted with consent of instructor. |
| polisci 353a/b/c |
Workshop in Statistical Modeling |
Simon Jackman,
Douglas Rivers, Jonathan Wand Winter
05-06 Theoretical aspects and empirical applications of
statistical modeling in the social sciences. Guest speakers. Students present a research
paper. Prerequisite: 350B or equivalent. |
| polisci 355 |
Advanced Topics in Research Methods |
Jonanthan
Wand Winter 05-06 Applications to American and comparative politics and international
relations. |
| psych 253 |
Statistical Theory Models and Methodology |
Ewart Thomas Spring 05-06 Practical and
theoretical advanced data analytic techniques such as loglinear models signal
detection meta-analysis logistic regression reliability theory and factor
analysis. Prerequisite: 252 or EDUC 257. |
| psych252 |
Statistical Methods for Behavioral and Social Sciences |
Ewart Thomas Autumn 05-06 For students who
seek experience and advanced training in empirical research. Analysis of data from
experimental through factorial designs randomized blocks repeated measures;
regression methods through multiple regression model building analysis of
covariance; categorical data analysis through two-way tables. Integrated with the use of
statistical computing packages. Prerequisite: 10 or equivalent. |
| soc 381a |
Sociological Methods 1A: Computer-Assisted Data Analysis |
Sean Farley
Everton Autumn 05-06 The computer as research tool. Common data sets in the social
sciences. Necessary skills for further courses in sociological
methodology. |
| soc 382 |
Sociological Methodology II: The General Linear Model |
Nancy
Tuma Winter 05-06 The general linear model for discrete and continuous variables.
Introduction to model selection the principles of estimation assessment of fit and
modeling diagnostics. Prerequisites: 281A B or equivalents. |
| soc 383 |
Sociological Methodology III: Advanced Models for Discrete Outcomes |
Nancy
Tuma Spring 05-06 Required for Ph.D. in Sociology. The rationale for and interpretation
of static and dynamic models for the analysis of discrete variables. Prerequisites: 281A
B and 382 or equivalent. |
| soc 387 |
Frontiers of Quantitative Sociological Research |
Nancy
Tuma Not given 2005-06 Advanced topics in quantitative sociological research especially
recently-developed models and methods. Possible topics: robust regression methods
boot-strapping local likelihood estimation quantile regression two-sided logit
models event count models event sequence models heterogeneous diffusion models
and models for change in social networks. |
| soc 388 |
Log-Linear Models |
Michael
Rosenfeld Autumn 05-06 Analysis of categorical data with log-linear and negative binomial
models. Measures of fit and hypothesis testing. |
| stats 200 |
Introduction to Statistical Inference |
Joseph
Romano Winter 05-06 Modern statistical concepts and procedures derived from a
mathematical framework. Statistical inference decision theory; point and interval
estimation tests of hypotheses; Neyman-Pearson theory. Bayesian analysis; maximum
likelihood large sample theory. Prerequisite: 116. |
| stats 202 |
Data Analysis |
Jerome Friedman, Victoria Clare
Stodden Autumn 05-06 Data mining is used to discover patterns and relationships in data.
Emphasis is on large complex data sets such as those in very large databases or through
web mining. Topics: decision trees neural networks association rules clustering
case based methods and data visualization. |
| stats 203 |
Introduction to Regression Models and Analysis of Variance |
Paul Switzer Spring 05-06 Modeling and
interpretation of observational and experimental data using linear and nonlinear
regression methods. Model building and selection methods. Multivariable analysis. Fixed
and random effects models. Experimental design. Pre- or corequisite:
200 |
| stats 205 |
Introduction to Nonparametric Statistics |
Sadri Khalessi Winter 05-06 Nonparametric
analogs of the one- and two-sample t tests and analysis of variance; the sign test
median test Wilcoxon's tests and the Kruskal-Wallis and Friedman tests tests of
independence. Nonparametric regression and nonparametric density estimation modern
nonparametric techniques nonparametric confidence interval
estimates. |
| stats 206 |
Applied Multivariate Analysis |
Art
Owen Winter 05-06 Introduction to the statistical analysis of several quantitative
measurements on each observational unit. Emphasis is on concepts computer-intensive
methods. Examples from economics education geology psychology. Topics: multiple
regression multivariate analysis of variance principal components factor analysis
canonical correlations multidimensional scaling clustering. |
| stats 207 |
Introduction to Time Series Analysis |
Spring 05-06 Time series models
used in economics and engineering. Trend fitting autoregressive and moving average
models and spectral analysis Kalman filtering and state-space models. Seasonality
transformations and introduction to financial time series. Prerequisite: basic course
in Statistics at the level of 200. |
| stats 208 |
Introduction to the Bootstrap |
Susan
Holmes Spring 05-06 The bootstrap is a computer-based method for assigning measures of
accuracy to statistical estimates. By substituting computation in place of mathematical
formulas it permits the statistical analysis of complicated estimators. Topics:
nonparametric assessment of standard errors biases and confidence Statistics school
of humanities and sciences intervals; related resampling methods including the jackknife
cross-validation and permutation tests. Theory and applications. Prerequisite:
course in statistics or probability. |
| stats 211/educ493b |
Topics in Quantitative Methods: Meta-Analysis |
Ingram Olkin Winter 05-06 Meta-analysis as a
quantitative method for combining the results of independent studies enabling
researchers to evaluate available evidence. Examples of meta-analysis in medicine
education and social and behavioral sciences. Statistical methods include
nonparametric methods contingency tables regression and analysis of variance and
Bayesian methods. Project involving an existing published meta-analysis. Prerequisite:
basic sequence in statistics. |
| stats 212 |
Applied Statistics with SAS |
Victoria Clare
Stodden Summer 05-06 Data analysis and implementation of statistical tools in SAS. Topics:
reading in and describing data categorical data dates and longitudinal data
correlation and regression nonparametric comparisons ANOVA multiple regression
multivariate data analysis using arrays and macros in SAS. Prerequisite: statistical
techniques at the level of 191 or 203; knowledge of SAS not required. |
| stats 214 |
Randomness in the Physical World |
Susan
Holmes Alternate years given 2006-07 Topics include: random numbers and their generation and
application; disordered systems quenching and annealing; percolation and fractal
structures; universality the renormalization group and limit theorems; path
integrals partition functions and Wiener measure; random matrices; and optical
estimation. Prerequisite: introductory course in statistical mechanics or
analysis. |
| stats 227 |
Statistical Computing |
Susan
Holmes Not given 2005-06 Numerical aspects of least squares nonlinear and robust
regression. Eigenvector-eigenvalue computations and analyses. Monte Carlo methods:
generation of uniformly distributed random numbers generation of special distributions
variance reduction techniques. The complexity of algorithms used in statistics:
sorting computation of quantiles nearest neighbor search fast Fourier transform.
Prerequisites: statistics at the level of 200 matrix algebra programming
language. |
| stats 237 |
Time Series Modeling and Forecasting |
Jerry Shan Summer 05-06 Box-Jenkins and
Bayesian approaches. State-space and change-point models. Application to revenue
prediction forecasting product demand and other real world problems. Development and
assessment of models and forecasts in practical applications. Hands-on experience with
real data. |
| stats 239a/b |
Workshop in Quantitative Finance |
Valdo Durrleman Autumn 05-06 Topics of
current interest. |
| stats 240 |
Statistical Methods in Finance |
Tze
Lai Spring 05-06 Regression analysis and applications to the Capital Asset Pricing
Model and multifactor pricing models. Principal components and multivariate analysis.
Smoothing techniques and estimation of yield curves. Statistical methods for financial
time series; value at risk. Term structure models and fixed income research. Estimation
and modeling of volatilities. Hands-on experience with financial data. |
| stats 252 |
Data Mining and Electronic Business |
Andreas Sebastian
Weigend Summer 05-06 The Internet and related technologies have caused the cost of
communication and transactions to plummet and consequently the amount of potentially
relevant data to explode. The underlying principles statistical issues and
algorithmic approaches to data mining and e-business with real world
examples. |
| stats 253 |
Spatial Statistics |
Paul Switzer Not given 2005-06 Statistical
descriptions of spatial variability spatial random functions grid models spatial
partitions spatial sampling linear and nonlinear interpolation and smoothing with
error estimation Bayes methods and pattern simulation from posterior distributions
multivariate spatial statistics spatial classification nonstationary spatial
statistics space-time statistics and estimation of time trends from monitoring data
spatial point patterns models of attraction and repulsion. Applications to earth and
environmental sciences meteorology astronomy remote-sensing ecology materials.
GER:DB-Math |
| stats 260(a b c) |
Workshop in Biostatistics |
Richard Olshen Spring 05-06 Applications of
statistical techniques to current problems in medical science. Enrollment for more than
2 units of credit involves extra reading or consulting and requires consent of
instructor. |
| stats 261/ HRP 261/biomedin 233 |
Intermediate Biostatistics: Analysis of Discrete
Data |
Trevor Hastie, Kristen
Cobb Winter 05-06 The 2x2 table. Chi-square test. Fisher's exact test. Odds ratios.
Sampling plans; case control and cohort studies. Series of 2x2 tables. Mantel Hantzel.
Other tests. k x m tables. Matched data logistic models. Conditional logistic analysis
application to case-control data. Log-linear models. Generalized estimating equations
for longitudinal data. Cell phones and car crashes: the crossover design. Special
topics: generalized additive models classification trees bootstrap
inference. |
| stats 270/370 |
A Course in Bayesian Statistics |
Not given
2005-06 Statistics--(Ph.D. students register for 370.)
Bayesian statistics including theory applications and computational tools. Topics:
history of Bayesian methods foundational problems (what is probability?) subjective
probability and coherence exchangeability and deFinetti's theorem. Conjugate priors
Laplace approximations Gibbs sampling hierarchical and empirical Bayes
nonparametric methods Dirichlet and Polya tree priors. Bayes robustness asymptotic
properties of Bayes procedures. |
| stats 300 |
Advanced Topics in Statistics |
Joseph
Romano Summer 05-06 |
| stats 305 |
Introduction to Statistical Modeling |
Art Owen,
Elizabeth Anne Purdom Autumn 05-06 The linear model: simple linear regression polynomial
regression multiple regression anova models; and with some extensions orthogonal
series regression wavelets radial basis functions and MARS. Topics: normal theory
inference (tests confidence intervals power) related distributions (t chi-square
F) numerical methods (QR SVD) model selection/regularization (Cp AIC BIC)
diagnostics of model inadequacy and remedies including bootstrap inference and
cross-validation. Emphasis is on problem sets involving substantial computations with
data sets including developing extensions of existing methods. Prerequisite: consent
of instructor 116 200 one applied statistics course CS 106A MATH
114. |
| stats 306A |
Methods for Applied Statistics |
Art
Owen Winter 05-06 Extension of modeling techniques of 305: binary and discrete response
data and nonlinear least squares. Topics include regression Poisson loglinear models
classification methods clustering. May be repeated for credit. Prerequisite: 305 or
equivalent. |
| stats 314 |
Advanced Statistical Methods |
Joseph
Romano Spring 05-06 Topic this year is multiple hypothesis testing. The demand for new
methodology for the simultaneous testing of many hypotheses as driven by modern
applications in genomics imaging astronomy and finance. High dimensionality: how
tests of many hypotheses may be considered simultaneously. Classical techniques and
recent developments. Stepwise methods generalized error rates such as the false
discovery rate and the role of resampling. May be repeated for
credit. |
| stats 315A |
Modern Applied Statistics: Learning |
Trevor
Hastie Winter 05-06 Two-part sequence on new techniques for predictive and descriptive
learning using ideas that bridge gaps among statistics computer science and
artificial intelligence. Emphasis is on statistical aspects of their application and
integration with more standard statistical methodology. Predictive learning refers to
estimating models from data with the goal of predicting future outcomes in particular
regression and classification models. Descriptive learning is used to discover general
patterns and relationships in data without a specific predictive goal. From a
statistical perspective it can be viewed as computer automated exploratory analysis of
usually large complex data sets. |
| stats 315B |
Modern Applied Statistics: Data Mining |
Jerome Friedman Spring 05-06 Two-part
sequence on new techniques for predictive and descriptive learning using ideas that
bridge gaps among statistics computer science and artificial intelligence. Emphasis
is on statistical aspects of their application and integration with more standard
statistical methodology. Predictive learning refers to estimating models from data with
the goal of predicting future outcomes in particular regression and classification
models. Descriptive learning is used to discover general patterns and relationships in
data without a specific predictive goal. From a statistical perspective it can be
viewed as computer automated exploratory analysis of usually large complex data
sets. |
| stats 316/math 236 |
Introduction to Stochastic Differential Equations |
George Papanicolaou Winter 05-06 Brownian motion
stochastic integrals and diffusions as solutions of stochastic differential equations.
Functionals of diffusions and their connection with partial differential equations.
Random walk approximation of diffusions. Prerequisite: 136 or equivalent and
differential equations. |
| stats 317 |
Stochastic Processes |
Not given
2005-06 Processes--Semimartingales stochastic
integration Ito's formula Girsanov's theorem. Gaussian and related processes.
Stationary/isotropic processes. Integral geometry and geometric probability. Maxima of
random fields and applications to spatial statistics and imaging. |
| stats 318 |
Modern Markov Chains |
Persi Diaconis
Yiyuan She Autumn 05-06 Tools for understanding Markov chains as they arise in applications.
Random walk on graphs reversible Markov chains Metropolis algorithm Gibbs sampler
hybrid Monte Carlo auxiliary variables hit and run Swedson-Wong algorithms
geometric theory Poincare-Nash-Cheger-Log-Sobolov inequalities. Comparison techniques
coupling stationary times Harris recurrence central limit theorems and large
deviations. |
| stats 324 |
Classical Multivariate and Random Matrix Theory |
Persi Diaconis Not given 2005-06 Properties of
multivariate normal Wishart t and beta distributions as they arise in statistical
problems. Distribution of eigenvalues and vectors of classical ensembles.
Marchenko-Pasteur and Tracy-Widom distributions. Determinental random fields with
applications in statistics combinatorics and physics. |
| stats 362 |
Monte Carlo Sampling |
Art
Owen Autumn 05-06 Sampling--Fundamentals of Monte Carlo methods. Generating uniform and
nonuniform variables random vectors and processes. Monte Carlo integration and
variance reduction. Quasi-Monte Carlo sampling. Markov chain Monte Carlo including
Gibbs sampling and Metropolis-Hastings. Examples problems and motivations from
Bayesian statistics computational finance computer graphics
physics. |