Table of contents for Records : mathematical theory / Valery B. Nevzorov .


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