An introduction to mathematical statistics and its applications / (Record no. 7355)

MARC details
000 -LEADER
fixed length control field 04133cam a2200205 4500
001 - CONTROL NUMBER
control field 8501
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20181127190116.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 000215s2001 njua b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0139223037
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.5
Edition number 21
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Larsen, Richard J.
245 13 - TITLE STATEMENT
Title An introduction to mathematical statistics and its applications /
Statement of responsibility, etc. Richard J. Larsen, Morris L. Marx.
250 ## - EDITION STATEMENT
Edition statement 3rd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Upper Saddle River, NJ :
Name of publisher, distributor, etc. Prentice Hall,
Date of publication, distribution, etc. c2001.
300 ## - PHYSICAL DESCRIPTION
Extent x, 790 p. :
Other physical details ill. ;
Dimensions 24 cm.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (p. 776-783) and index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note CONTENTS : Introduction. A Brief History. Some Examples. A Chapter Summary.2. Probability. Sample Spaces and the Algebra of Sets. The Probability Function. Discrete Probability Functions. Continuous Probability Functions. Conditional Probability. Independence. Repeated Independent Trials. Combinatorics. Combinatorial Probability.3. Random Variables. The Probability Density Function. The Hypergeometric and Binomial Distributions. The Cumulative Distribution Function. Joint Densities. Independent Random Variables. Combining and Transforming Random Variables. Order Statistics. Conditional Densities. Expected Values. Properties of Expected Values. The Variance. Properties of Variances. Chebyshev's Inequality. Higher Moments. Moment-Generating Functions. Appendix 3.A.1: MINITAB Applications.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. Point Estimates for ...m and ...s2. The ...c2 Distribution; Inferences about ...s2. The F and t Distributions. Drawing Inferences about ...m. Appendix 7.A.1: MINITAB Applications. Appendix 7.A.2: Some Distribution Results for Y and S 2. Appendix 7.A.3: A Proof of Theorem 7.3.5. A Proof That the One-Sample t Test Is a GLRT.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 <$E{ down 12 SSTR/ up 12 (k-1)} over { down 12 SSE/ up 12 (n- k)}> 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.
Miscellaneous information
Statement of responsibility
Title
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical statistics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Marx, Morris L.
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Serial Enumeration / chronology Inventory number Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Main TEST RTC Library RTC Library Main opac 12993   519.5 LAR 30013554 27/11/2018 27/11/2018 Main
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