Bivariate Limit Theorems for Record Values Based on Random Sample Sizes

Sankhya A ◽  
2019 ◽  
Vol 82 (1) ◽  
pp. 50-67
Author(s):  
M. A. Abd Elgawad ◽  
H. M. Barakat ◽  
Ting Yan
Keyword(s):  
Random Sample ◽  
Limit Theorems ◽  
Record Values ◽  
Sample Sizes

Limit theorems for statistics with random sample sizes

2015 ◽  
Author(s):  
M. E. Grigoryeva ◽  
Victor Yu. Korolev ◽  
Alexander I. Zeifman
Keyword(s):  
Random Sample ◽  
Limit Theorems ◽  
Sample Sizes

Limit theorems for extremes with random sample size

1998 ◽  
Vol 30 (03) ◽  
pp. 777-806 ◽  
Author(s):  
Dmitrii S. Silvestrov ◽  
Jozef L. Teugels
Keyword(s):  
Weak Convergence ◽  
Sample Size ◽  
Random Sample ◽  
Limit Theorems ◽  
Functional Limit ◽  
Functional Limit Theorems ◽  
Random Sample Size ◽  
Extremal Processes ◽  
Convergence Type

This paper is devoted to the investigation of limit theorems for extremes with random sample size under general dependence-independence conditions for samples and random sample size indexes. Limit theorems of weak convergence type are obtained as well as functional limit theorems for extremal processes with random sample size indexes.

scholarly journals Limit theorems for the diameter of a random sample in the unit ball

Extremes ◽  
2007 ◽  
Vol 10 (3) ◽  
pp. 129-150 ◽  
Author(s):  
Michael Mayer ◽  
Ilya Molchanov
Keyword(s):  
Unit Ball ◽  
Random Sample ◽  
Limit Theorems

Embedding sequences of successive maxima in extremal processes, with applications

1987 ◽  
Vol 24 (4) ◽  
pp. 827-837 ◽  
Author(s):  
Rocco Ballerini ◽  
Sidney I. Resnick
Keyword(s):  
Population Size ◽  
Limit Theorems ◽  
Random Variables ◽  
Record Values ◽  
Record Times ◽  
Extremal Processes ◽  
Sample Record

Consequences of embedding sequences {Mn} in an extremal-F process are discussed where Mn represents the maximum of n independent (but not necessarily identically distributed) random variables. Various limit theorems are proved for the sample record rate, record times, inter-record times, and record values. These results are illustrated with applications to three particular record models: the Yang (1975) record model where population size increases geometrically, a record model where linear improvement is present, and a record model incorporating features of the previous two.

scholarly journals ANOVA with random sample sizes: An application to a Brazilian database on cancer registries

2013 ◽  
Author(s):  
Célia Nunes ◽  
Gilberto Capistrano ◽  
Dário Ferreira ◽  
Sandra S. Ferreira
Keyword(s):  
Random Sample ◽  
Cancer Registries ◽  
Sample Sizes
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