## Brazilian Journal of Probability and Statistics

### Order statistics and exceedances for some models of INID random variables

#### Abstract

Order statistics and exceedances for some general models of independent but not necessarily identically distributed (INID) random variables are considered. The distributions of order statistics from INID sample are described in terms of symmetric functions. Some exceedance models based on order statistics from INID random variables are considered, the limit distributions of exceedance statistics are obtained. For the model of INID random variables referred as $F^{\alpha}$-scheme introduced by Nevzorov (Zapiski Nauchnykh Seminarov LOMI 142 (1985) 109–118) the limiting distribution of exceedance statistic has been derived. This distribution is expressed in terms of permutations with inversions, Gaussian Hypergeometric function and incomplete beta functions.

#### Article information

Source
Braz. J. Probab. Stat., Volume 28, Number 4 (2014), 492-514.

Dates
First available in Project Euclid: 30 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.bjps/1406741877

Digital Object Identifier
doi:10.1214/13-BJPS221

Mathematical Reviews number (MathSciNet)
MR3263062

Zentralblatt MATH identifier
1304.62069

Keywords
INID random variables exceedances

#### Citation

Bayramoglu, Ismihan; Giner, Goknur. Order statistics and exceedances for some models of INID random variables. Braz. J. Probab. Stat. 28 (2014), no. 4, 492--514. doi:10.1214/13-BJPS221. https://projecteuclid.org/euclid.bjps/1406741877

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