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Type I General Exponential class of distributions

Hamedani, G. G. ; Yousof, Haitham M. ; Rasekhi, Mahdi ; Alizadeh, Morad and Najibi, Seyed Morteza LU orcid (2018) In Pakistan Journal of Statistics and Operation Research 14(1). p.39-55
Abstract

We introduce a new family of continuous distributions and study the mathematical properties of the new family. Some useful characterizations based on the ratio of two truncated moments and hazard function are also presented. We estimate the model parameters by the maximum likelihood method and assess its performance based on biases and mean squared errors in a simulation study framework.

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author
; ; ; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Characterization, Hazard function, Maximum likelihood, Moment, Order Statistic, Quantile function
in
Pakistan Journal of Statistics and Operation Research
volume
14
issue
1
pages
17 pages
publisher
College of Statistical and Actuarial Sciences, University of Punjab
external identifiers
  • scopus:85043353315
ISSN
1816-2711
DOI
10.18187/pjsor.v14i1.2193
language
English
LU publication?
no
additional info
Publisher Copyright: © Pakistan Journal of Statistics and Operation Research, 2018.
id
a8e3e0db-bbea-43dd-aaf0-ad8d80ee41a1
date added to LUP
2022-03-23 10:55:14
date last changed
2022-04-16 02:54:44
@article{a8e3e0db-bbea-43dd-aaf0-ad8d80ee41a1,
  abstract     = {{<p>We introduce a new family of continuous distributions and study the mathematical properties of the new family. Some useful characterizations based on the ratio of two truncated moments and hazard function are also presented. We estimate the model parameters by the maximum likelihood method and assess its performance based on biases and mean squared errors in a simulation study framework.</p>}},
  author       = {{Hamedani, G. G. and Yousof, Haitham M. and Rasekhi, Mahdi and Alizadeh, Morad and Najibi, Seyed Morteza}},
  issn         = {{1816-2711}},
  keywords     = {{Characterization; Hazard function; Maximum likelihood; Moment; Order Statistic; Quantile function}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{39--55}},
  publisher    = {{College of Statistical and Actuarial Sciences, University of Punjab}},
  series       = {{Pakistan Journal of Statistics and Operation Research}},
  title        = {{Type I General Exponential class of distributions}},
  url          = {{http://dx.doi.org/10.18187/pjsor.v14i1.2193}},
  doi          = {{10.18187/pjsor.v14i1.2193}},
  volume       = {{14}},
  year         = {{2018}},
}