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MEES Course Listing : Statistics
STAT 400 Appl. Probability & Statistics 1 (3 credits)
Prerequisites: MATH 141.Course Description: Random variables, standard distributions, moments, law of large numbers and central limit theorem. Sampling methods, estimation of parameters, testing of hypotheses. STAT 464 Introduction to Biostatistics (3 credits)
Prerequisites: one semester of calculus.Course Description: Probabilistic models. Sampling. Some applications of probability in genetics. Experimental designs. Estimation of effects of treatments. Comparative experiments. Fisher-Irwin test. Wilcoxon tests for paired comparisons. Not acceptable for credit towards degrees in mathematics or statistics. STAT 601 Probability Theory 2 (3 credits)
Prerequisites: STAT 600.Course Description: Characteristic functions. Bochner's representation theorem. Helly's theorems and Levy's inversion formula. Applications of residue theorem. Infinitely divisible distributions. Kolmogorov's three-series theorem. Law of the iterated logarithm. Arc sine Law. Central limit theorems (Lindeberg-Feller theorem). Weak and strong laws of large numbers. Martingale convergence theorems (for sequences). |