Type II general exponential class of distributions
(2019) In Pakistan Journal of Statistics and Operation Research 15(2). p.503-523- Abstract
In this paper, a new class of continuous distributions with two extra positive parameters is introduced and is called the Type II General Exponential (TIIGE) distribution. Some special models are presented. Asymptotics, explicit expressions for the ordinary and incomplete moments, moment residual life, reversed residual life, quantile and generating functions and stress-strengh reliability function are derived. Characterizations of this family are obtained based on truncated moments, hazard function, conditional expectation of certain functions of the random variable are obtained. The performance of the maximum likelihood estimators in terms of biases, mean squared errors and confidence interval length is examined by means of a... (More)
In this paper, a new class of continuous distributions with two extra positive parameters is introduced and is called the Type II General Exponential (TIIGE) distribution. Some special models are presented. Asymptotics, explicit expressions for the ordinary and incomplete moments, moment residual life, reversed residual life, quantile and generating functions and stress-strengh reliability function are derived. Characterizations of this family are obtained based on truncated moments, hazard function, conditional expectation of certain functions of the random variable are obtained. The performance of the maximum likelihood estimators in terms of biases, mean squared errors and confidence interval length is examined by means of a simulation study. Two real data sets are used to illustrate the application of the proposed class.
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- author
- Hamedani, G. G. ; Rasekhi, Mahdi ; Najibi, Sayed M. ; Yousof, Haitham M. and Alizadeh, Morad
- publishing date
- 2019-01-01
- type
- Contribution to journal
- publication status
- published
- keywords
- Maximum likelihood, Moment, Order statistics, Quantile function
- in
- Pakistan Journal of Statistics and Operation Research
- volume
- 15
- issue
- 2
- pages
- 21 pages
- publisher
- College of Statistical and Actuarial Sciences, University of Punjab
- external identifiers
-
- scopus:85067888101
- ISSN
- 1816-2711
- DOI
- 10.18187/pjsor.v15i2.1699
- language
- English
- LU publication?
- no
- id
- abe569d9-c793-4232-b75b-50aad5043fb0
- date added to LUP
- 2020-02-14 01:04:17
- date last changed
- 2022-04-18 20:31:36
@article{abe569d9-c793-4232-b75b-50aad5043fb0,
abstract = {{<p>In this paper, a new class of continuous distributions with two extra positive parameters is introduced and is called the Type II General Exponential (TIIGE) distribution. Some special models are presented. Asymptotics, explicit expressions for the ordinary and incomplete moments, moment residual life, reversed residual life, quantile and generating functions and stress-strengh reliability function are derived. Characterizations of this family are obtained based on truncated moments, hazard function, conditional expectation of certain functions of the random variable are obtained. The performance of the maximum likelihood estimators in terms of biases, mean squared errors and confidence interval length is examined by means of a simulation study. Two real data sets are used to illustrate the application of the proposed class.</p>}},
author = {{Hamedani, G. G. and Rasekhi, Mahdi and Najibi, Sayed M. and Yousof, Haitham M. and Alizadeh, Morad}},
issn = {{1816-2711}},
keywords = {{Maximum likelihood; Moment; Order statistics; Quantile function}},
language = {{eng}},
month = {{01}},
number = {{2}},
pages = {{503--523}},
publisher = {{College of Statistical and Actuarial Sciences, University of Punjab}},
series = {{Pakistan Journal of Statistics and Operation Research}},
title = {{Type II general exponential class of distributions}},
url = {{http://dx.doi.org/10.18187/pjsor.v15i2.1699}},
doi = {{10.18187/pjsor.v15i2.1699}},
volume = {{15}},
year = {{2019}},
}