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Introduction to Mathematical Statistics and Its Applications (2005, Hardcover)

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the book cover but the book is still ...
Field of Study
Mathematics
Subject
Statistics
ISBN
9780131867932

About this product

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0131867938
ISBN-13
9780131867932
eBay Product ID (ePID)
144787155

Product Key Features

Number of Pages
928 Pages
Publication Name
Introduction to Mathematical Statistics and Its Applications
Language
English
Subject
Probability & Statistics / General
Publication Year
2005
Features
Revised
Type
Textbook
Author
Richard J. Larsen, Morris L. Marx
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.5 in
Item Weight
58.9 Oz
Item Length
9.3 in
Item Width
8 in

Additional Product Features

Edition Number
4
Intended Audience
College Audience
LCCN
2005-054997
Dewey Edition
22
TitleLeading
An
Illustrated
Yes
Dewey Decimal
519.5
Table Of Content
1. Introduction. A Brief History. Some Examples. A Chapter Summary. 2. Probability. Sample Spaces and the Algebra of Sets. The Probability Function. Conditional Probability. Independence. Combinatorics. Combinatorial Probability. 3. Random Variables. Binomial and Hypergeometric Probabilities. Discrete Random Variables. Continuous Random Variables. Expected Values. The Variance. Joint Densities. Combining Random Variables. Further Properties of the Mean and Variance. Order Statistics. Conditional Densities. Moment Generating Functions. Odds and Ends. 4. Special Distributions. The Poisson Distribution. The Normal Distribution. The Geometric Distribution. The Negative Binomial Distribution. The Gamma Distribution. Appendix 4.A.1: MINITAB Applications. Appendix 4.A.2: A Proof of the Central Limit Theorem. 5. Estimation. Estimating Parameters: The Method of Maximum Likelihood and the Method of Moments. Interval Estimation. Properties of Estimators. Minimum-Variance Estimators: The Cramer-Rao Lower Bound. Sufficiency. Consistency. Appendix 5.A.1: MINITAB Applications. 6. Hypothesis Testing. The Decision Rule. Testing Binomial Data H0: p = p 0. Type I and Type II Errors. A Notion of Optimality: The Generalized Likelihood Ratio. 7. The Normal Distribution. Comparing and . Deriving the distribution of . Drawing inferences about m. Drawing inferences about . Odds and Ends. 8. Types of Data: A Brief Overview. Classifying Data. 9. Two-Sample Problems. Testing H 0: mx = mY The Two-Sample t Test. Testing H0: s2x = s2Y The F Test. Binomial Data: Testing H 0: px = py. Confidence Intervals for the Two-Sample Problem. Appendix 9.A.1: A Derivation of the Two-Sample t Test (A Proof of Theorem 9.2.2.). Appendix 9.A.2: Power Calculations for a Two-Sample t Test. Appendix 9.A.3: MINITAB Applications. 10. Goodness-of-Fit Tests. The Multinomial Distribution. Goodness-of-Fit Tests: All Parameters Known. Goodness-of-Fit Tests: Parameters Unknown. Contingency Tables. Appendix 10.A.1: MINITAB Applications. 11. Regression. The Method of Least Squares. The Linear Model. Covariance and Correlation. The Bivariate Normal Distribution. Appendix 11.A.1: MINITAB Applications. Appendix 11.A.2: A Proof of Theorem 11.3.3. 12. The Analysis of Variance. The F Test. Multiple Comparisons: Tukey's Method. Testing Subhypotheses with Orthogonal Contrasts. Data Transformations. Appendix 12.A.1: MINITAB Applications. Appendix 12.A.2: A Proof of Theorem 12.2.2. Appendix 12.A.3: The Distribution of When H1 Is True. 13. Randomized Block Designs. The F Test for a Randomized Block Design. The Paired t Test. Appendix 13.A.1: MINITAB Applications. 14. Nonparametric Statistics. The Sign Test. The Wilcoxon Signed Rank Test. The Kruskal-Wallis Test. The Friedman Test. Appendix 14.A.1: MINITAB Applications. Appendix: Statistical Tables. Answers to Selected Odd-Numbered Questions. Bibliography. Index.
Edition Description
Revised edition
Synopsis
Noted for its integration of real-world data and case studies, this text offers sound coverage of the theoretical aspects of mathematical statistics. It demonstrates how and when to use statistical methods, while reinforcing the calculus that students have mastered in previous courses., Noted for its integration of real-world data and case studies, this guide offers sound coverage of the theoretical aspects of mathematical statistics. It demonstrates how and when to use statistical methods, while reinforcing the calculus that readers have already mastered. Presents standard statistical techniques in a mathematical context, allowing the reader to see the underlying hypotheses for the applications. Uses case studies and practical worked-out examples to motivate statistical reasoning and demonstrate the application of statistical methods to a wide variety of real-world situations. Discusses practical problems in the application of the ideas covered in each chapter, as well as common misunderstandings or faulty approaches. Revised Minitab sections now conform to the Version 14, the latest release. For anyone interested in learning more about mathematical statistics.
LC Classification Number
QA276

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