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Symmetric Generalized Logistic Distribution: Some Moment Properties and Approximation to the Normal Distribution
Authors:
Mohammed A. El-Saidi a;
Karan P. Singh b;
Alfred A. Bartolucci b
| Affiliations: | a Ferris State University, |
| b The University of Alabama at Birmingham, |
DOI:
10.1080/02331889308802433
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
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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| Keywords: Logistic distribution; normal distribution; incomplete beta function; shape parameter; cumulants; binomial probabilities; approximation |
| view references (15) |
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