Order statistics from the type i generalized logistic distribution
作者:
N. Balakrishnan,
M. Y. Leung,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1988)
卷期:
Volume 17,
issue 1
页码: 25-50
ISSN:0361-0918
年代: 1988
DOI:10.1080/03610918808812648
出版商: Marcel Dekker, Inc.
关键词: Extreme-value distribution;log-Weibull distribution;exponential-gamma distribution;single and product moments;skewness;kurtosis;percentage points;mode;gamma;digamma;polygamma functions;moment generating function;incomplete beta function;mid-range
数据来源: Taylor
摘要:
In this paper, we first obtain three generalized forms of the standard logistic distribution. These are derived by compounding an extreme-value distribution of the doubly exponential type, a reduced log-Weibull distribution and an exponential-gamma distribution, respectively, with a gamma distribution. The usefulness of these three types of generalized logistic distributions in some estimation problems, and also in some robustness studies, is pointed out. Finally, we study the order statistics from the Type I generalized logistic distribution in detail. We derive exact and explicit expressions for the means, variances and covariances of order statistics in terms of the gama function and its successive derivatives. Percentage points and modes of order statistics are also discussed
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