Stochastic Comparisons of Order Statistics and Spacings: A Review | Zendy

Subhash C. Kochar | Zendy

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Stochastic Comparisons of Order Statistics and Spacings: A Review

Author(s) -

Subhash C. Kochar

Publication year - 2012

Publication title -

isrn probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 2090-472X

pISSN - 2090-4711

DOI - 10.5402/2012/839473

Subject(s) - independent and identically distributed random variables , order statistic , statistics , mathematics , scale (ratio) , stochastic ordering , exponential distribution , sample (material) , exponential function , econometrics , order (exchange) , hazard , statistical physics , random variable , geography , physics , economics , mathematical analysis , cartography , thermodynamics , chemistry , organic chemistry , finance

We review some of the recent developments in the area of stochastic comparisons of order statistics and sample spacings. We consider the cases when the parent observations are identically as well as nonidentically distributed. But most of the time we will be assuming that the observations are independent. The case of independent exponentials with unequal scale parameters as well as the proportional hazard rate model is discussed in detail.

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