Some moment properties and limit theorems of the reversed generalized logistic distribution with applications

Mohammed A. El-Saidi; Boyan N. Dimitrov; Stefanka Chukova

doi:10.1080/03610929608831717

Some moment properties and limit theorems of the reversed generalized logistic distribution with applications

Mohammed A. El-Saidi
, Boyan N. Dimitrov
, Stefanka Chukova

Kettering University

Ferris State University
Victoria University of Wellington

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we discuss an extended form of the logistic distribution and refer to it as the reversed generalized logistic distribution. We study some moment properties, and derive exact and explicit formulas for the mean, median, mode, variance, coefficients of skewness and kurtosis, and percentage points of this distribution. In addition, we study its limiting distributions as the shape parameter tends to zero or infinity. We also discuss some possible applications in bioassays through logistic regression approach.

Original language	American English
Journal	Communication in Statistics - Theory and Methods
Volume	25
DOIs	https://doi.org/10.1080/03610929608831717
State	Published - Jan 1 1996

Keywords

exponential and gamma distributions
incomplete beta function
limiting distribution
quantal response data
shape parameter

Disciplines

Mathematics

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10.1080/03610929608831717License: CC BY

https://www.tandfonline.com/doi/abs/10.1080/03610929608831717

Cite this

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title = "Some moment properties and limit theorems of the reversed generalized logistic distribution with applications",

abstract = " In this paper we discuss an extended form of the logistic distribution and refer to it as the reversed generalized logistic distribution. We study some moment properties, and derive exact and explicit formulas for the mean, median, mode, variance, coefficients of skewness and kurtosis, and percentage points of this distribution. In addition, we study its limiting distributions as the shape parameter tends to zero or infinity. We also discuss some possible applications in bioassays through logistic regression approach.",

keywords = "exponential and gamma distributions, incomplete beta function, limiting distribution, quantal response data, shape parameter",

author = "El-Saidi, \{Mohammed A.\} and Dimitrov, \{Boyan N.\} and Stefanka Chukova",

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language = "American English",

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T1 - Some moment properties and limit theorems of the reversed generalized logistic distribution with applications

AU - El-Saidi, Mohammed A.

AU - Dimitrov, Boyan N.

AU - Chukova, Stefanka

PY - 1996/1/1

Y1 - 1996/1/1

N2 - In this paper we discuss an extended form of the logistic distribution and refer to it as the reversed generalized logistic distribution. We study some moment properties, and derive exact and explicit formulas for the mean, median, mode, variance, coefficients of skewness and kurtosis, and percentage points of this distribution. In addition, we study its limiting distributions as the shape parameter tends to zero or infinity. We also discuss some possible applications in bioassays through logistic regression approach.

AB - In this paper we discuss an extended form of the logistic distribution and refer to it as the reversed generalized logistic distribution. We study some moment properties, and derive exact and explicit formulas for the mean, median, mode, variance, coefficients of skewness and kurtosis, and percentage points of this distribution. In addition, we study its limiting distributions as the shape parameter tends to zero or infinity. We also discuss some possible applications in bioassays through logistic regression approach.

KW - exponential and gamma distributions

KW - incomplete beta function

KW - limiting distribution

KW - quantal response data

KW - shape parameter

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/52

UR - https://www.tandfonline.com/doi/abs/10.1080/03610929608831717

U2 - 10.1080/03610929608831717

DO - 10.1080/03610929608831717

M3 - Article

VL - 25

JO - Communication in Statistics - Theory and Methods

JF - Communication in Statistics - Theory and Methods

ER -

Some moment properties and limit theorems of the reversed generalized logistic distribution with applications

Abstract

Keywords

Disciplines

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