Open AccessThe Theoretical Overview of Generalized Gumbel Type-Ⅱ Distribution
Author(s) -
S. Qurat Ul Ain,
Aijaz Ahmad,
Rajnee Tripathi
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v11i230263
Subject(s) - gumbel distribution , hazard ratio , estimator , statistics , hazard , mathematics , maximum likelihood , distribution (mathematics) , rayleigh distribution , probability density function , econometrics , extreme value theory , confidence interval , biology , mathematical analysis , ecology
A new version of weighted model is introduced by assigning weights to Gumbel Distribution Type Ⅱ (GDT-Ⅱ) to make it more useful and flexible in life time data .This paper provides an understanding of some basic statistical properties of (WGDT-Ⅱ).It includes moments and maximum likelihood estimator. In addition to the above it imparts the insight to distribution function, survival rate, hazard rate and reverse hazard rate. The behavior of PDF, CDF, and Survival rate, Hazard rates and Reverse Hazard rates has been presented through various graphs by setting different values of parameters.