Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size

H. M. Barakat; M. A. Abd Elgawad; H. Qin; T. Yan

doi:10.3103/S1066530718010039

Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size

Authors: Barakat H.M.¹, Abd Elgawad M.A.²^,3, Qin H.², Yan T.²
Affiliations:
1. Dept.Math., Faculty Sci.
2. School Math. and Statist.
3. Dept. Math. Faculty Sci.
Issue: Vol 27, No 1 (2018)
Pages: 47-59
Section: Article
URL: https://journal-vniispk.ru/1066-5307/article/view/225817
DOI: https://doi.org/10.3103/S1066530718010039
ID: 225817

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Abstract
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Abstract

The class of limit distribution functions (df’s) of the random bivariate extreme, central and intermediate generalized order statistics (gos) from independent and identically distributed random variables (rv’s) is fully characterized. The cases, when the random sample size is independent of the basic variables and when the interrelation between the random sample size and the basic variables is not restricted, are considered.