On Modified Extended Exponential Power Life Testing Distribution : Development, Properties, Characterizations and Application
(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
- Bhatti, Fiaz Ahmad ; Hamedani, G. G. ; Najibi, Seyed Morteza LU and Ahmad, Munir
- publishing date
- 2019-09-01
- 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}}, }