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On Modified Extended Exponential Power Life Testing Distribution : Development, Properties, Characterizations and Application

Bhatti, Fiaz Ahmad ; Hamedani, G. G. ; Najibi, Seyed Morteza LU orcid and Ahmad, Munir (2019) In Annals of Data Science 6(3). p.413-439
Abstract

In this paper, a flexible modified extended exponential power life testing (MEEPLT) distribution is proposed. The MEEPLT distribution has increasing, decreasing and bathtub hazard rate function. The MEEPLT density is arc, left skewed, right-skewed and symmetrical shaped. The MEEPLT distribution is developed on the basis of the generalized Pearson differential equation. Some structural and mathematical properties including descriptive measures on the basis of quantiles, moments, order statistics and reliability measures are theoretically established. Characterizations of MEEPLT distribution are also studied via different techniques. Parameters of the MEEPLT distribution are estimated using maximum likelihood method. The simulation study... (More)

In this paper, a flexible modified extended exponential power life testing (MEEPLT) distribution is proposed. The MEEPLT distribution has increasing, decreasing and bathtub hazard rate function. The MEEPLT density is arc, left skewed, right-skewed and symmetrical shaped. The MEEPLT distribution is developed on the basis of the generalized Pearson differential equation. Some structural and mathematical properties including descriptive measures on the basis of quantiles, moments, order statistics and reliability measures are theoretically established. Characterizations of MEEPLT distribution are also studied via different techniques. Parameters of the MEEPLT distribution are estimated using maximum likelihood method. The simulation study for performance of the MLEs of the MEEPLT distribution is carried out. Goodness of fit of this distribution through different methods is studied.

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author
; ; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Characterizations, Compounding, Maximum likelihood estimation, Reliability
in
Annals of Data Science
volume
6
issue
3
pages
27 pages
publisher
Springer
external identifiers
  • scopus:85094199122
ISSN
2198-5804
DOI
10.1007/s40745-018-0167-y
language
English
LU publication?
no
additional info
Publisher Copyright: © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
id
c1ed6fdd-f7d0-4166-9152-51f6619c587a
date added to LUP
2022-03-23 10:55:52
date last changed
2022-04-24 00:08:50
@article{c1ed6fdd-f7d0-4166-9152-51f6619c587a,
  abstract     = {{<p>In this paper, a flexible modified extended exponential power life testing (MEEPLT) distribution is proposed. The MEEPLT distribution has increasing, decreasing and bathtub hazard rate function. The MEEPLT density is arc, left skewed, right-skewed and symmetrical shaped. The MEEPLT distribution is developed on the basis of the generalized Pearson differential equation. Some structural and mathematical properties including descriptive measures on the basis of quantiles, moments, order statistics and reliability measures are theoretically established. Characterizations of MEEPLT distribution are also studied via different techniques. Parameters of the MEEPLT distribution are estimated using maximum likelihood method. The simulation study for performance of the MLEs of the MEEPLT distribution is carried out. Goodness of fit of this distribution through different methods is studied.</p>}},
  author       = {{Bhatti, Fiaz Ahmad and Hamedani, G. G. and Najibi, Seyed Morteza and Ahmad, Munir}},
  issn         = {{2198-5804}},
  keywords     = {{Characterizations; Compounding; Maximum likelihood estimation; Reliability}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{3}},
  pages        = {{413--439}},
  publisher    = {{Springer}},
  series       = {{Annals of Data Science}},
  title        = {{On Modified Extended Exponential Power Life Testing Distribution : Development, Properties, Characterizations and Application}},
  url          = {{http://dx.doi.org/10.1007/s40745-018-0167-y}},
  doi          = {{10.1007/s40745-018-0167-y}},
  volume       = {{6}},
  year         = {{2019}},
}