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Yale University
Department of Statistics

Course List for 2000-2001

Primarily undergraduate courses

Director of Undergraduate Studies: Nicolas Hengartner

Statistics 101-105, Introduction to Statistics (FALL)
Cross-listing: Statistics 501a-505a
Instructor: Mr. J. Chang and faculty from other departments.
Time: Tues, Thurs 1:00 pm - 2:15 pm
Place: OML 202 (Tuesday)
A basic introduction to statistics, including numerical and graphical summaries of data, probability, hypothesis testing, confidence intervals, and regression. Each course focuses on applications to a particular field of study and is taught jointly by two instructors, one specializing in statistics and the other in the relevant area of application. The Tuesday lecture, which introduces general concepts and methods of statistics, is attended by all students in Statistics 101-106 together. The course separates for Thursday lectures (sections), which develop the concepts with examples and applications. Computers are used for data analysis. These courses are alternatives; they do not form a sequence and only one may be taken for credit. They do not count toward the natural sciences requirement. No prerequisites beyond high school algebra.
 
 

Statistics 101aG /EEB 210aG/MCDB 215a, Introduction to Statistics: Life Sciences. Not CR/D/F IV(26).

Instructor: Mr. Joseph Chang/ Mr. Junhyong Kim.
Statistical and probabilistic analysis of biological problems presented with a unified foundation in basic statistical theory. Problems are drawn from genetics, ecology, epidemiology, and bioinformatics.
Statistics 102aG - EP & E 203a - Political Science 425a, Introduction to Statistics: Social Sciences. Not CR/D/F III or IV(26).

Instructor: Mr. Joseph Chang/Mr. John Lapinski.
Place: OML 202 (Tuesday), HGS 217A (Thursday)
Statistical analysis of politics and quantitative assessments of public policies. Problems presented with reference to a wide array of examples: public opinion, campaign finance, racially motivated crime, and health policy.

[Statistics 103a - Soc 119a -Soc. 580a/119a - Introduction to Statistics: Social Sciences.] Not offered 2000

Statistics 104a - Psychology 201a Introduction to Statistics: Psychology.
Instructor: Mr. Joseph Chang/Mr. Tom Brown.
Place: OML 202 (Tuesday), LUCE 202 (Thursday)

Statistics 105a - F & ES 205aG Introduction to Statistics: Environmental Sciences. Not CR/D/F IV(26).

Instructor: Mr. Joseph Chang/Mr. Jonathan Reuning-Scherer.
Place: OML 202 (Tuesday), ML 104 (Thursday)
An introduction to probability and statistics with emphasis on applications to forestry and environmental sciences.
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Statistics 230b, Introductory Data Analysis (SPRING)
Cross-listing: Statistics 530a, PLSC 530b
Instructor: Mr. J. Hartigan
Time: Mon, Wed 1:00 - 2:15 and 2:30 - 3:45
Place: Room 100, (Stat Lab) 140 Prospect Street
Survey of statistical methods: plots, transformations, regression, analysis of variance, clustering, principal components, contingency tables, and time series analysis. Techniques are demonstrated on the computer. After Statistics 101-105.
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Statistics 241a, Probability Theory (FALL)
Cross-listing: Statistics/Mathematics 541a
Instructor: Mr. D. Pollard.
Time: Mon, Wed, Fri 9:30 - 10:20
Place: ML 104
A first course in probability theory: probability spaces, random variables, expectations and probabilities, conditional probability, independence, some discrete and continuous distributions, central limit theorem, Markov chains, probabilistic modeling. After or concurrent with Mathematics 120a or b or equivalents.
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Statistics 242b, Theory of Statistics (SPRING)
Cross-listing: Statistics 542b, Mathematics 242b
Instructor: Mr. N. Hengartner.
Time: Mon, Wed, Fri 9:30 - 10:20
Place: 200 LOM
Principles of statistical analysis: maximum likelihood, sampling distributions, estimation, confidence intervals, tests of significance, regression, analysis of variance, and the method of least squares. After Statistics 241a; after or concurrent with Mathematics 222.
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Statistics 251b, Stochastic Processes (SPRING)
Cross-listing: Statistics 551b
Instructor: Mr. M. Wegkamp.
Time: Mon, Wed 1 - 2:15
Place: 102 BCT
Introduction to the study of random processes, including Markov chains, Markov random fields, martingales, random walks, Brownian motion and diffusions. Tecniques in probability, such as coupling and large deviations. Applications to image reconstruction, Bayesian statistics, finance, probabilistic analysis of algorithms, genetics and evolution. After Statistics 241a or equivalent. After Statistics 241a or equivalent.
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Statistics 312a, Linear Models (FALL)
Cross-listing: Statistics 612a
Instructor: Mr. M. Wegkamp.
Time: Tues, Thurs 9:00-10:15
Place: 24 HH Rm. 107
The geometry of least squares; distribution theory for normal errors; regression, analysis of variance, and designed experiments; numerical algorithms (with particular reference to Splus); alternatives to least squares. Generalized linear models. After Statistics 242b and Mathematics 222 or equivalents.
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Statistics 361b, Data Analysis (SPRING)
Cross-listing: Statistics 661b
Instructor: Mr. N. Hengartner.
Time: Mon, Wed 2:30 - 3:45
Place: 24 Hillhouse, Room 107
Through analysis of data sets using the Splus statistical computing language, study of a selection of statistical topics such as linear and nonlinear models, maximum likelihood, resampling methods, curve estimation, model selection, classification and clustering. Weekly sessions will be held in the Social Sciences Statistical Laboratory. After Statistics 242 and Mathematics 222b or 225a or b, or equivalents.
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[Statistics 364b, Information Theory]
Cross-listing: Statistics 664b

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Statistics 374a, Analysis of spatial and time series data
Cross-listing: Statistics 674a
Instructor: Mr. N. Hengartner.
Time: Tues, Thurs 1:00-2:15
Place: 24 HH Room 107
Study of statistical models that are useful for describing data collected over space or time. Models include frequency domain and time domain analysis of time series; state space models and Kalman filters; point processes; Gibbs processes and random fields.
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AM490, Applied Math senior seminar
Cross-listing:
Instructor: Mr. A. Barron.
Time: Wed 3:30 - 5:20
Place:

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Primarily graduate courses

Director of Graduate Studies: John Hartigan

Statistics 600b, Advanced Probability (SPRING)
Cross-listing: Statistics 330b
Instructor: Mr. M. Wegkamp
Time: Tues, Thurs 2:30 - 3:45
Place: 102 BCT
Measure theoretic probability, conditioning, laws of large numbers, convergence in distribution, characteristic functions, central limit theorems, martingales. Some knowledge of real analysis is assumed.
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[Statistics 603a, Stochastic Calculus (SPRING) ]
Instructor: NEXT TAUGHT IN 2001-2002
Time:
Martingales in discrete and continuous time, Brownian Motion, Sample path properties, predictable processes, stochastic integrals with respect to Brownian motion and semimartingales, stochastic differential equations. Applications mostly to counting processes and finance. Knowledge of measure-theoretic probability at the level of Statistics 600 is a prerequisite for the course, although some key concepts, such as conditioning, will be reviewed. After: Statistics 600.
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Statistics 607a, Inequalities in probability and statistics (FALL)
Instructor: Mr. D. Pollard.
Time: Tues, Thurs 3:45-5:00
Place: 24 HH Rm. 107
A study of a variety of useful inequalities. The course will be broken into independent segments, each treating a specific method and an illustrative application. Topics include: tail bounds for normal distributions; convexity methods; Bennett and Hoeffding inequalities for independent, bounded summands; Poisson-Binomial trials; martingale methods; mixing inequalities; maximal inequalities based on entropy calculations; Tusnady's inequality and strong approximation; Hellinger, total variation, and divergence distances between measures; concentration inequalities; isoperimetric inequalities. Acquaintance with probability at the 600 level helpful for some segments.
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Statistics 610a, Statistical Inference (FALL)
Instructor: Mr. A. Barron.
Time: Wed, Fri Wed 1:10 - 2:25
Place: 24 HH Rm. 107
A systematic development of the mathematical theory of statistical inference covering methods of estimation, hypothesis testing, and confidence intervals. An introduction to statistical decision theory. Undergraduate probability at the level of Statistics 241a assumed.
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Statistics 619b, Advanced Inference (SPRING)
Instructor: Mr. A. Barron.
Time: Tues, Thurs 10:30 - 11:45
Place: 24 HH Rm. 107
Topics of mathematical statistics including predictive distributions, exchangeability and DeFinetti's representation theorem, finite and infinite parameterizations, axiomatic decision theory, large sample properties of Bayes procedures, Heirarchical models, and sequential analysis.  Textbook:  Theory of Statistics, by Mark Schervish.  After Statistics 610a, after or concurrent with Statisics 600b.

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Statistics 625a, Statistical Case Studies (FALL)
Instructor: Mr. J. Hartigan.
Time: Mon, Wed 2:30-3:45
Place: 24 HH Rm. 107
Thorough study of some large data sets on such topics as second-hand smoking, crashes in small cars, reticulate evolution, bloc voting, and Connecticut educational standards.

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Statistics 626b, Practical Work (SPRING)
Instructor: Mr. N. Hengartner
Individual one-semester projects, with students working on studies outside the Department, under the guidance of a statistician.
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Statistics 645a, Statistical Genetics and Bioinformatics (FALL)
Instructor: Mr. J. Chang.
Time: Mon, Wed 11:00-12:15
Place: 24 HH Rm. 107
Types of available genetic data and types of questions they can address. Fundamentals of population genetics. Locating genes for discrete and continuous traits. Linkage disequilibrium, association mapping, and pedigree analysis. Database searching, sequence alignment and hidden Markov models. Reconstruction of evolutionary trees. Functional genomics and analysis of gene expression data. Knowledge of basic mathematics (calculus and linear algebra), probability and statistics at the STAT 541-542 level assumed.
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Statistics 685b (66685), Classification (SPRING)
Instructor: Mr. J. Hartigan.
Time: Tues, Thurs 2:30 - 3:45
Place: 124 Prospect Rm. B-13
Statistical methods of identifying classes, types and clusters, uses of classification in prediction and inference. Recognition, k-means, minimum spanning trees, hierarchical clustering algorithms, density estimation; model estimation. Mixture models, product partition models, excess mass models change point models, block clustering models, percolation. Applications to reticulate evolution, mammalian teeth, parliamentary voting, subtypes of schizophrenia, and foundations of probability.
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Statistics 700, Departmental Seminar
Time: Monday 4:15-
Important activity for all members of the department. 24 Hillhouse Avenue. See weekly seminar announcements.


Revision: 05 January 2001 KSY

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