On the Conjecture of Kochar and Korwar

Nuria Torrado Robles

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

Abstract: In this paper, we solve for some cases a conjecture by Kochar and Korwar (1996) in relation with the normalized spacings of the order statistics related to a sample of independent exponential random variables with different scale parameter. In the case of a sample of size n=3, they proved the ordering of the normalized spacings and conjectured that result holds for all n. We give the proof of this conjecture for n=4 and for both spacing and normalized spacings. We also generalize some results to n>4

Keywords: Heterogeneous; exponential; distribution; Hazard; rate; order; Normalized (search for similar items in EconPapers)
Date: 2009-03
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Persistent link: https://EconPapers.repec.org/RePEc:cte:wsrepe:ws092108

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