Records : mathematical theory /
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI :
American Mathematical Society,
2000
|
| Series: | Translations of mathematical monographs ;
v. 194 |
| Subjects: | |
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| 100 | 1 | |a Nevzorov, Valery B., |d 1946- | |
| 245 | 1 | 0 | |a Records : |b mathematical theory / |c Valery B. Nevzorov ; [translated from the Russian manuscript by D.M. Chibisov] |
| 260 | |a Providence, RI : |b American Mathematical Society, |c 2000 | ||
| 263 | |a 0010 | ||
| 300 | |a x, 164 p. ; |c 26 cm | ||
| 490 | 1 | |a Translations of mathematical monographs, |x 0065-9282 ; |v v. 194 | |
| 504 | |a Includes bibliographical references (p. 153-164) | ||
| 505 | 0 | 0 | |t Introduction. Lecture 1 -- |g Pt. 1 |t Order Statistics -- |g Lecture 2. |t Order Statistics and Their Distributions -- |g Lecture 3. |t Three Classical Representations for Order Statistics -- |g Lecture 4. |t Markov Property and Conditional Independence of Order Statistics -- |g Lecture 5. |t Order Statistics for Nonstationary Sequences -- |g Lecture 6. |t Moments of Order Statistics -- |g Lecture 7. |t Moments of Order Statistics (continued) -- |g Lecture 8. |t Asymptotic Distributions of the Middle Order Statistics -- |g Lecture 9. |t Asymptotic Distributions of the Middle Order Statistics (continued) -- |g Lecture 10. |t Asymptotic Distributions of Maxima -- |g Lecture 11. |t Domains of Attraction of the Limiting Distributions of Extremes -- |g Lecture 12. |t Some Topics Related to the Distribution of Extremes -- |g Pt. 2. |t Record Times and Record Values -- |g Lecture 13. |t Maxima and Records -- |g Lecture 14. |t Distributions of Record Times -- |g Lecture 15. |t Distributions of Record Values -- |g Lecture 16. |t Shorrock's Representation for Discrete Records -- |g Lecture 17. |t Joint Distributions of Record Times and Record Values -- |g Lecture 18. |t Asymptotic Distributions of Record Values -- |g Lecture 19. |t kth Records -- |g Lecture 20. |t Generating Function of the kth Record Times -- |g Lecture 21. |t Moment Characteristics of the kth Record Times -- |g Lecture 22. |t Tata's Representation and Its Generalizations -- |g Lecture 23. |t Correlation Coefficients of Records -- |g Lecture 24. |t Records for Nonstationary Sequences of Random Variables -- |g Lecture 25. |t Record Times in the F[superscript [alpha]]-Scheme -- |g Lecture 26. |t Independence of Record Indicators and Maxima -- |g Lecture 27. |t Asymptotic Distribution of Record Values in the F[superscript [alpha]]-Scheme -- |g Lecture 28. |t Records in Sequences of Dependent Random Variables -- |g Lecture 29. |t Records and the Secretary Problem -- |g Lecture 30. |t Statistical Procedures Related to Records. |g App. 1. |t Theory of Records: Historical Review. |
| 650 | 0 | |a Order statistics | |
| 830 | 0 | |a Translations of mathematical monographs ; |v v. 194 | |
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