Models for Probability and Statistical Inference
Subtitle: Theory and Applications (Wiley Series in Probability and Statistics)
Edition: 1 edition
Publisher: Wiley-Interscience
Published: December 17, 2007
Language: eng
Format: Hardcover
Number of pages: 464
ISBN-13: 9780470073728
Subjects: Probability & statistics; Mathematical Statistics; Probabilities; Mathematics; Science/Mathematics; Probability & Statistics - General; Mathematics / Statistics; Industrial applications; Mathematical models
Description: Models for Probability and Statistical Inference was written over a five-year period and serves as a comprehensive treatment of the fundamentals of probability and statistical inferences. With detailed theoretical coverage found throughout the book, readers acquire the fundamentals needed to advance to more specialized topics, such as sampling, linear models, design of experiments, statistical computing, survival analysis, and bootstrapping. Ideal as a textbook for a two-semester sequence on probability and statistical inference, early chapters provide coverage on probability and include discussions of: discrete models and random variables; discrete distributions including binomial, hypergeometric, geometric, and Poisson; continuous, normal, gamma, and conditional distributions; and limit theory. SInce limit theory is usually the most difficult topic for readers to master, the author thoroughly discusses modes of convergence in distribution. The second half of the book addresses statistical inference, beginning with a discussion on point estimation and followed by coverage of consistency and confidence intervals. Further areas of exploration include: distributions defined in terms of the multivariate normal, chi-square, t, and F (central and non-central); the one- and two-sample Wilcoxon test, together with methods of estimation based on both; linear models with a linear space-projection approach and logistic regression. Each section contains a set of problems ranging in difficulty from simple to more complex, and selected answers as well as proofs to almost all statements are provided. An abundant amount of figures in addition to helpful simulations and graphs produced by the statistical package S-Plus are included to help build the intuition of readers.