Comparison of Approximate Confidence Intervals for the Exponential Scale Parameter from Sample Quantiles
作者:
KennethS. Kaminsky,
期刊:
Technometrics
(Taylor Available online 1973)
卷期:
Volume 15,
issue 3
页码: 483-487
ISSN:0040-1706
年代: 1973
DOI:10.1080/00401706.1973.10489074
出版商: Taylor & Francis Group
关键词: Exponential Scale Parameter;Confidence Intervals;Sample Quantiles;Order Statistics
数据来源: Taylor
摘要:
Several authors have considered point and interval estimation of the exponential scale parameter, σ, on the basis of subsets of the order statistics. In this paper, we suggest a procedure for finding approximate confidence intervals for σ in large samples, usingksample quantiles of a random sample of sizen. The procedure is based on a simple chi-square approximation to the distribution of the asymptotically best linear estimate of σ. We compare this procedure with the one given by Ogawa (1962) based on an approximatingt-distribution. We find that the interval based on the chi-square approximation is easier to calculate, and performs better whenkis small andnis large.
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