Title:
Rekordy. English
Records : mathematical theory / Valery B. Nevzorov .
Translations of mathematical monographs,
Author:
Nevzorov, Valery B., 1946-
General Notes:
Includes bibliographical references (p. 153-164).
Machine generated contents note: Part 1. Order Statistics -- Lecture 2. Order Statistics and Their Distributions -- Lecture 3. Three Classical Representations for Order Statistics -- Lecture 4. Markov Property and Conditional Independence of Order -- Statistics -- Lecture 5. Order Statistics for Nonstationary Sequences -- Lecture 6. Moments of Order Statistics -- Lecture 7. Moments of Order Statistics (continued) -- Lecture 8. Asymptotic Distributions of the Middle Order Statistics -- Lecture 9. Asymptotic Distributions of the Middle Order Statistics (con- -- tinued) -- Lecture 10. Asymptotic Distributions of Maxima -- Lecture 11. Domains of Attraction of the Limiting Distributions of Ex- -- tremes -- Lecture 12. Some Topics Related to the Distribution of Extremes -- Part 2. Record Times and Record Values -- Lecture 13. Maxima and Records -- Lecture 14. Distributions of Record Times -- Lecture 15. Distributions of Record Values -- Lecture 16. Shorrock's Representation for Discrete Records -- Lecture 17. Joint Distributions of Record Times and Record Values -- Lecture 18. Asymptotic Distributions of Record Values -- Lecture 19. The kth Records -- Lecture 20. Generating Function of the kth Record Times -- Lecture 21. Moment Characteristics of the kth Record Times -- Lecture 22. Tata's Representation and Its Generalizations -- Lecture 23. Correlation Coefficients for Records -- Lecture 24. Records for Nonstationary Sequences of Random Variables -- Lecture 25. Record Times in the Fa-Scheme -- Lecture 26. Independence of Record Indicators and Maxima -- Lecture 27. Asymptotic Distribution of Record Values in the Fa-Scheme -- Lecture 28. Records in Sequences of Dependent Random Variables -- Lecture 29. Records and the Secretary Problem -- Lecture 30. Statistical Procedures Related to Records -- Appendix 1. Theory of Records: Historical Review -- Appendix 2. Hints, Solutions, and Answers -- Bibliography.
Publisher:
American Mathematical Society,
Publication Place:
Providence, RI :
ISBN:
0821819453 (alk. paper)
Subject:
Order statistics.
Series:
Translations of mathematical monographs, v. 194
Contents:
Machine generated contents note: Part 1. Order Statistics -- Lecture 2. Order Statistics and Their Distributions -- Lecture 3. Three Classical Representations for Order Statistics -- Lecture 4. Markov Property and Conditional Independence of Order -- Statistics -- Lecture 5. Order Statistics for Nonstationary Sequences -- Lecture 6. Moments of Order Statistics -- Lecture 7. Moments of Order Statistics (continued) -- Lecture 8. Asymptotic Distributions of the Middle Order Statistics -- Lecture 9. Asymptotic Distributions of the Middle Order Statistics (con- -- tinued) -- Lecture 10. Asymptotic Distributions of Maxima -- Lecture 11. Domains of Attraction of the Limiting Distributions of Ex- -- tremes -- Lecture 12. Some Topics Related to the Distribution of Extremes -- Part 2. Record Times and Record Values -- Lecture 13. Maxima and Records -- Lecture 14. Distributions of Record Times -- Lecture 15. Distributions of Record Values -- Lecture 16. Shorrock's Representation for Discrete Records -- Lecture 17. Joint Distributions of Record Times and Record Values -- Lecture 18. Asymptotic Distributions of Record Values -- Lecture 19. The kth Records -- Lecture 20. Generating Function of the kth Record Times -- Lecture 21. Moment Characteristics of the kth Record Times -- Lecture 22. Tata's Representation and Its Generalizations -- Lecture 23. Correlation Coefficients for Records -- Lecture 24. Records for Nonstationary Sequences of Random Variables -- Lecture 25. Record Times in the Fa-Scheme -- Lecture 26. Independence of Record Indicators and Maxima -- Lecture 27. Asymptotic Distribution of Record Values in the Fa-Scheme -- Lecture 28. Records in Sequences of Dependent Random Variables -- Lecture 29. Records and the Secretary Problem -- Lecture 30. Statistical Procedures Related to Records -- Appendix 1. Theory of Records: Historical Review -- Appendix 2. Hints, Solutions, and Answers -- Bibliography.
Physical Description:
x, 164 p. : ill. ;
Electronic Location:
http://www.loc.gov/catdir/toc/fy02/00061821.html
Publication Date:
c2001.