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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 projectsProvides 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 bankfor students´
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