On the conjecture of Kochar and Korwar
In this article, we partially solve a conjecture by Kochar and Korwar (1996) [9] in relation to the normalized spacings of the order statistics of a sample of independent exponential random variables with different scale parameters. 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 prove this conjecture for n=4 for both spacings and normalized spacings and generalize some results to n>4.
Year of publication: |
2010
|
---|---|
Authors: | Torrado, Nuria ; Lillo, Rosa E. ; Wiper, Michael P. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 101.2010, 5, p. 1274-1283
|
Publisher: |
Elsevier |
Keywords: | Heterogeneous exponential distribution Hazard rate order Normalized spacing |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
On stochastic properties between some ordered random variables
Torrado, Nuria, (2011)
-
On the Conjecture of Kochar and Korwar
Torrado, Nuria, (2009)
-
Likelihood ratio order of spacings from two heterogeneous samples
Torrado, Nuria, (2013)
- More ...