On the conjecture of Kochar and Korwar |
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Authors: | Nuria Torrado Rosa E Lillo |
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Institution: | a Universidad Carlos III de Madrid, Department of Statistics, Escuela Politécnica Superior, Campus de Leganés, Madrid, Spain b Universidad Carlos III de Madrid, Department of Statistics, Facultad de Ciencias Sociales y Jurídicas, Campus de Getafe, Madrid, Spain |
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Abstract: | 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. |
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Keywords: | primary 60E15 secondary 60K10 |
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