The algebra of probability, conditional probability and independence, discrete and continuous random variables, mean and variance, matrices,...
Applied statistics, with emphasis on inferential methods relevant to the environmental and life sciences. Use of a computer statistics package. Three...
Combinatorics, independence, conditioning; Poisson-process; discrete and continuous distributions with statistical applications; expectation,...
Estimation; sampling distributions; confidence intervals; hypothesis testing, power; linear regression; graphical and computational methods. Three...
Introduction to SAS; linear regression model; least squares method; model fitting and diagnostics; influential analysis; model building; one-way and...
Linear and non-linear likelihood inference; model-free methods; Bayesian concepts and methods; applications. Three lectures; one term ...
Sampling distributions, limiting distributions; maximum likelihood methods; sufficiency and its statistical inference implications; pivotal...
Multiple life functions, multiple decrement models, valuation theory for pension plans. Three lectures; one term Prerequisite(s): STATS 3G03
Origin, development and evolution of modern probabilistic and statistical concepts and methods are discussed. Emphasis is placed on the logic of...
Introduction to probability, data analysis, statistical inference, regression, correlation and analysis of variance, applications to civil and...
Conditional expectation; discrete martingales, Markov chains; game theory: house advantage, gambler's ruin, betting systems, bold play, optimal...
Survey design; simple random sampling; stratified sampling; proportional allocation; ratio estimation; cluster sampling; systematic sampling and...
Random walk, Markov chains, discrete and continuous parameter Markov processes, branching processes, birth and death processes, queuing processes....
Introduction to probability, data analysis, statistical inference, regression, correlation and analysis of variance. Three lectures; one term ...
Stationary, auto-regressive and moving-average series, Box-Jenkins methods, trend and seasonal effects, tests for white noise, estimation and...
Normal linear model, exponential family, iteratively-reweighted least squares, logistic regression, Poisson regression and log-linear models, other...
Construction of probability spaces and random variables, integration, conditional expectation, law of large numbers, convergence of series, weak...
Brownian motion, stochastic integrals, one-dimensional Ito's formula, diffusion processes, option pricing and other financial applications. Simulation...
Two-way and three-way contingency tables, logistic regression, loglinear models for contingency tables, collapsibility, ordinal associations,...
Multivariate distributions: Normal, Wishart, T2 and others; regression, correlation, factor analysis, general linear hypothesis. Three lectures; first...