Mathematical Statistics with Applications in R

Mathematical Statistics with Applications in R

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Mathematical Statistics with Applications, Second Edition, gives an up-to-date introduction to the theory of statistics with a wealth of real-world applications that will help students approach statistical problem solving in a logical manner. The book introduces 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. Goodness of fit methods are included to identify the probability distribution that characterizes the probabilistic behavior or a given set of data. Engineering students, especially, will find these methods to be very important in their studies.

Step-by-step procedure to solve real problems, making the topic more accessibleExercises blend theory and modern applicationsPractical, real-world chapter projects Provides an optional section in each chapter on using Minitab, SPSS and SAS commandsWide array of coverage of ANOVA, Nonparametric, MCMC, Bayesian and empirical methodsInstructor's Manual; Solutions to Selected Problems, data sets, and image bank for students
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Product details

  • Electronic book text | 826 pages
  • 191 x 235mm
  • Academic Press Inc
  • United Kingdom
  • English
  • 2nd Revised edition
  • 9780124171329

Table of contents

Descriptive StatisticsBasic Concepts from Probability Theory Additional Topics in ProbabilitySampling DistributionsEstimationProperties of Point Estimation, Hypothesis TestingLinear Regression ModelsDesign of ExperimentsAnalysis of varianceBayesian Estimation and InferenceNonparametric testsEmpirical MethodsTime-series AnalysisOverview of Statistical ApplicationsAppendicesSelected Solutions to Exercises
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Review quote

"...mathematically rigorous, but takes an applied-student-friendly point of view on the traditional content.highly recommended for use as the primary textbook for an undergraduate mathematical statistics course in a mathematics or statistics department.", Mathematical Statistics with Applications in R, Second Edition
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