Mathematical Statistics with Applications in R, Second Edition by Kandethody M. Ramachandran and Chris P. Tsokos offers a contemporary, calculus-based theoretical introduction to mathematical statistics, infused with practical applications. Published by Academic Press on September 14, 2014, this edition (ISBN-13: 978-0124171329) delves into modern statistical computational and simulation techniques often absent in other textbooks. Students will explore advanced concepts such as the Jackknife, bootstrap methods, EM algorithms, and Markov chain Monte Carlo (MCMC) methods, including the Metropolis algorithm, Metropolis-Hastings algorithm, and the Gibbs sampler. By bridging theoretical discussions with extensive real-world examples, the book guides readers toward a logical approach to statistical problem-solving. It provides clear, step-by-step procedures for tackling real problems, enhancing accessibility. The text includes methods for assessing goodness of fit, enabling students to identify probability distributions that best represent given data. Exercises and practical, real-world chapter projects are integrated throughout. Each chapter features an optional section demonstrating the use of Minitab, SPSS, and SAS commands, alongside comprehensive coverage of ANOVA, nonparametric, MCMC, Bayesian, and empirical methods. Solutions to selected problems, datasets, and an image bank are also provided. This resource is highly beneficial for advanced undergraduate and graduate students enrolled in one or two-semester mathematical statistics courses.
