Bounds and Approximations for the Moments of Order Statistics
作者:
PrakashC. Joshi,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1969)
卷期:
Volume 64,
issue 328
页码: 1617-1624
ISSN:0162-1459
年代: 1969
DOI:10.1080/01621459.1969.10501081
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper methods for obtaining approximations and bounds for the moments of order statistics from a continuous parent distribution are discussed. These bounds and approximations depend on the distribution function only through certain moments of order statistics in small samples. It is shown that for the Cauchy distribution bounds and approximations of all finite moments can be obtained. Some numerical calculations for normal and Cauchy distributions are also given.
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