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Название: Mathematical Statistics with Applications in R, 2nd Edition
Автор: Kandethody M. Ramachandran, Chris P. Tsokos
Издательство: Academic Press
ISBN: 0124171133
Год: 2015
Страниц: 803
Язык: английский
Формат: pdf (true)
Размер: 35.6 MB

Mathematical Statistics with Applications in R, Second Edition, offers a modern calculus-based theoretical introduction to mathematical statistics and applications. The book covers many modern statistical computational and simulation concepts that are not covered in other texts, such as the Jackknife, bootstrap methods, the EM algorithms, and Markov chain Monte Carlo (MCMC) methods such as the Metropolis algorithm, Metropolis-Hastings algorithm and the Gibbs sampler. By combining the discussion on the theory of statistics with a wealth of real-world applications, the book helps students to approach statistical problem solving in a logical manner.

Due to the popularity of R and its free availability, we have incorporated R-codes throughout the book. This will make it easier for students to do the data analysis. We have also added a chapter on goodness of fit tests and illustrated their applicability with several examples.

This book provides a step-by-step procedure to solve real problems, making the topic more accessible. It includes goodness of fit methods to identify the probability distribution that characterizes the probabilistic behavior or a given set of data. Exercises as well as practical, real-world chapter projects are included, and each chapter has an optional section on using Minitab, SPSS and SAS commands. The text also boasts a wide array of coverage of ANOVA, nonparametric, MCMC, Bayesian and empirical methods; solutions to selected problems; data sets; and an image bank for students.

Advanced undergraduate and graduate students taking a one or two semester mathematical statistics course will find this book extremely useful in their studies.

Step-by-step procedure to solve real problems, making the topic more accessible
Exercises blend theory and modern applications
Practical, real-world chapter projects
Provides an optional section in each chapter on using Minitab, SPSS and SAS commands
Wide array of coverage of ANOVA, Nonparametric, MCMC, Bayesian and empirical methods

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