Conditional inference procedures for the Laplace distribution when the observed samples are progressively censored

被引:0
|
作者
Aaron Childs
N. Balakrishnan
机构
[1] Department of Mathematics and Statistics,
[2] McMaster University,undefined
[3] Hamilton,undefined
[4] Ontario,undefined
[5] Canada L8S 4K1,undefined
来源
Metrika | 2000年 / 52卷
关键词
Key words and Phrases: Ancillary statistics; Tolerance intervals; Confidence intervals; Order statistics; Laplace distribution; Progressive censoring; Type-II right censoring; Maximum likelihood estimators;
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摘要
In this paper, we develop procedures for obtaining confidence intervals for the parameters of a Laplace distribution as well as upper and lower γ probability tolerance intervals for a proportion β, given a progressively Type-II right censored sample from the Laplace distribution. The intervals are obtained by conditioning on the observed values of the ancillary statistics. The intervals are exact, do not require numerical integration, and generalize the work of Childs and Balakrishnan (1996) who considered the conventional Type-II right censored case.
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页码:253 / 265
页数:12
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