PirateBay Download | olofsson p probability statistics stochastic processes 2ed 2012 rep

olofsson p probability statistics stochastic processes 2ed 2012 rep

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Textbook in PDF format Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering. Preface to the First Edition Basic Probability Theory Sample Spaces and Events The Axioms of Probability Finite Sample Spaces and Combinatorics Conditional Probability and Independence The Law of Total Probability and Bayes’ Formula Problems Random Variables Discrete Random Variables Continuous Random Variables Expected Value and Variance Special Discrete Distributions The Exponential Distribution The Normal Distribution Other Distributions Location Parameters The Failure Rate Function Problems Joint Distributions The Joint Distribution Function Discrete Random Vectors Jointly Continuous Random Vectors Conditional Distributions and Independence Functions of Random Vectors Conditional Expectation Covariance and Correlation The Bivariate Normal Distribution Multidimensional Random Vectors Generating Functions The Poisson Process Problems Limit Theorems The Law of Large Numbers The Central Limit Theorem Convergence in Distribution Problems Simulation Random Number Generation Simulation of Discrete Distributions Simulation of Continuous Distributions Miscellaneous Problems Statistical Inference Point Estimators Confidence Intervals Estimation Methods Hypothesis Testing Further Topics in Hypothesis Testing Goodness of Fit Bayesian Statistics Nonparametric Methods Problems Linear Models Sampling Distributions Single Sample Inference Comparing Two Samples Analysis of Variance Linear Regression The General Linear Model Problems Stochastic Processes Discrete -Time Markov Chains Random Walks and Branching Processes Continuous -Time Markov Chains Martingales Renewal Processes Brownian Motion Problems Appendix A Tables Appendix B Answers to Selected Problems Further Reading

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olofsson p probability statistics stochastic processes 2ed 2012 rep

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