Basic concepts in sampling from finite populations; simple random sampling; stratified sampling; choice of sampling unit; cluster and systematic...
Selected topics in regression and correlation non-linear models. Multivariate statistical methods, principal components, factor analysis, multivariate...
An extension of the designs discussed in STAT 2559 to include analysis of the completely randomized design, designs with more than one blocking...
Order statistics; projections; U-statistics; L-estimators; rank, sign, and permutation test statistics; relative efficiency of tests; nonparametric...
Sufficient statistics, simple and composite hypotheses, most powerful and similar region test, distribution-free tests, confidence intervals,...
Review of discrete Markov chains and Poisson processes; continuous time Markov chains; pure jump Markov processes, and birth and death processes...
Real-life situations in the physical, social, and life sciences are often modeled using mathematical tools. This course will examine various models...
Basic ideas and algorithms of Monte Carlo; simulation of basic stochastic processes. Brownian motion and the Poisson process, applications to...
Data visualization; knowledge discovery in datasets; unsupervised learning: clustering algorithms; dimension reduction; supervised learning: pattern...
Time series regression. Nonstationary and stationary time series models. Nonseasonal and seasonal time series models. ARIMA (Box-Jenkins) models....
Statistical computing techniques, pseudo-random number generation, tests for randomness, numerical algorithms in statistics; optimization techniques;...
Review of distributions, moments, sampling distributions, and large sample approximations; parametric inferences; Bayesian methods; nonparametric...
Correlation and regression analysis, multiple sample analysis; analysis of covariance; analysis of frequency data; multiple logistic regression;...