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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/4062
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| Title: | On the Conjecture of Kochar and Korwar |
| Author(s): | Torrado, Nuria
Lillo, Rosa E.
Wiper, Michael P. |
| Publisher: | Universidad Carlos III de Madrid. Departamento de Estadística |
| Issued date: | Mar-2009 |
| URI: | http://hdl.handle.net/10016/4062 |
| 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 |
| Serie / Nº.: | UC3M Working Paper. Statistics and Econometrics
09-21 |
| Keywords: | Heterogeneous exponential distribution
Hazard rate order
Normalized |
| Appears in Collections: | DES - Working Papers. Statistics and Econometrics. WS
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