TY - JOUR
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 -