Class Notes in Operations Research, Statistics, and Probability, Volume 1

This book covers a broad range of mathematical and statistical concepts that includes Mathematical Statistics, Non-Parametric Statistics, Design of Experiments, Probability, Operations Research, and Stochastic Models. The topics covered include: statistics, stochastic models, mathematics, operations research, non-parametric statistics, design of experiments, theory of probability, probability, ANOVA, goodness of fit, density functions, cdf, pdf, Baye's formula, Markov chains, expectation, conditional expectation, convolution, queueing theory, inventory theory, network optimization, dijkstra's algorithm, shortest path, estimating parameters, moments, method of moments, sample size, maximum likelihood estimators, Rao-Cramer inequality, hypothesis testing, contigency tables, nested designs, latin square designs, randomized block design, factorial designs, fractional factorial designs, split plot design, repeated measures, Siegel-Tukey test, Smirnov test, Wilcoxon rank sum statistic, Mann-Whitney rank sum statistic, asymptotic power, power, confidence limits, confidence intervals, sign test, variance estimation, signed rank test, shift model, shift parameter, Kruskal-Wallis test, and multiple comparisions.