The Characteristic Property of Five Parameter Type II Generalized Logistic Distribution

Abstract

Order statistics are among the most fundamental tools in non-parametric statistics and inference. Special important cases of the order statistics are the minimum and maximum value of a sample, sample median and other sample quantiles. On this note, we obtained the r th minimum and maximum order statistic for the five parameter type II generalized logistic distribution using the probability distribution function and cumulative density function to obtain another five parameter type II generalized logistic distribution which shares the same properties by replacing p with np. We also obtain the quantile function by inverting the cumulative density function of the distribution which can be used to generate random samples arising from the distribution. The survival and hazard functions of the distribution are also obtained.

Inference on the Beta Type I Generalized Half Logistic Distribution Under Right Censored Observation with Application to Covid-19

“…e author of [12] further generalized the four-parameter type I generalized half logistic distribution obtained by [9] by the addition of a shifting parameter to have the five parameters generalized half logistic distribution. A further study on some of the properties and estimation of the parameter of distribution of under complete observation was carried out by [13]. e author of [14] extended the distribution of [8] by addition of a parameter to have the Lehmann type II generalized half logistic distribution.…”

“…In literature, several studies have been conducted to examine other generalizations of the half logistic distribution under incomplete data situations. Some of these include [4][5][6][7][8][9][10][11][12][13][14][15][16]. e author of [16] obtained an extended generalized half logistic distribution and studied different methods of estimation of its parameters based on censored and complete data, In this paper, we examined some statistical properties of the beta type I generalized half logistic and study its inferences under right-censored observations.…”