An asymptotic relation arising in the decomposition of the likelihood of order statistics

Sangun Park

doi:10.1016/0167-7152(95)00162-X

An asymptotic relation arising in the decomposition of the likelihood of order statistics

Sangun Park

Department of Applied Statistics

Research output: Contribution to journal › Article › peer-review

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Abstract

In the decomposition of the score function based on all the order statistics, (equation presented) we study the asymptotic behaviour of the maximum conditional likelihood estimator, based on the second term on the right, and suggest an indirect way to study that of the maximum likelihood estimator based on the first term. We also give an asymptotic relation between the maximum likelihood estimators in each part.

Original language	English
Pages (from-to)	101-106
Number of pages	6
Journal	Statistics and Probability Letters
Volume	29
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(95)00162-X
Publication status	Published - 1996 Aug 30

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(95)00162-X

Cite this

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abstract = "In the decomposition of the score function based on all the order statistics, (equation presented) we study the asymptotic behaviour of the maximum conditional likelihood estimator, based on the second term on the right, and suggest an indirect way to study that of the maximum likelihood estimator based on the first term. We also give an asymptotic relation between the maximum likelihood estimators in each part.",

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AB - In the decomposition of the score function based on all the order statistics, (equation presented) we study the asymptotic behaviour of the maximum conditional likelihood estimator, based on the second term on the right, and suggest an indirect way to study that of the maximum likelihood estimator based on the first term. We also give an asymptotic relation between the maximum likelihood estimators in each part.

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An asymptotic relation arising in the decomposition of the likelihood of order statistics

Abstract

All Science Journal Classification (ASJC) codes

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