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Symmetric Generalized Logistic Distribution: Some Moment Properties and Approximation to the Normal Distribution

 

作者: Mohammed A. El-Saidi,   Karan P. Singh,   Alfred A. Bartolucci,  

 

期刊: Statistics  （Taylor Available online 1993）
卷期: Volume 25, issue 1  

页码: 79-87

 

ISSN:0233-1888

 

年代: 1993

 

DOI:10.1080/02331889308802433

 

出版商: Gordon & Breach Science Publishers

 

关键词: AMS 1980 subject classification;Primary 62H10;secondary 65D20;Logistic distribution;normal distribution;incomplete beta function;shape parameter;cumulants;binomial probabilities;approximation

 

数据来源: Taylor

 

摘要:

In this paper we discuss some moment properties of a symmetric generalized logistic distribution indexed by a shape parameter λ and denoted by GL(λ, λ), and show that it is asymptotically normal as λ → ∞, and asymptotically double exponential as λ → 0. We also show that GL(λ, λ) can be used to approximate the normal distribution. The proposed approximation is illustrated for specific values of λ.

 

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