Mathematical Statistics With Applications In R by Kandethody M. RamachandranMathematical Statistics With Applications In R by Kandethody M. Ramachandran

Mathematical Statistics With Applications In R

byKandethody M. Ramachandran, Chris P. Tsokos

Paperback | October 30, 2018

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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.

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
Chris P. Tsokos is Distinguished University Professor of Mathematics and Statistics at the University of South Florida. Dr. Tsokos' research has extended into a variety of areas, including stochastic systems, statistical models, reliability analysis, ecological systems, operations research, time series, Bayesian analysis, and mathemati...
Title:Mathematical Statistics With Applications In RFormat:PaperbackDimensions:826 pages, 8.75 × 6.35 × 0.68 inPublished:October 30, 2018Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128100206

ISBN - 13:9780128100202

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Table of Contents

  1. Descriptive Statistics
  2. Basic Concepts from Probability Theory
  3. Additional Topics in Probability
  4. Sampling Distributions
  5. Estimation
  6. Properties of Point Estimation, Hypothesis Testing
  7. Linear Regression Models
  8. Design of Experiments
  9. Analysis of variance
  10. Bayesian Estimation and Inference
  11. Nonparametric tests
  12. Empirical Methods
  13. Time-series Analysis
  14. Overview of Statistical Applications
  15. Appendices
  16. Selected Solutions to Exercises