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- Title
The Topp-Leone Extended Exponential Distribution: Estimation Methods and Applications.
- Authors
Khaoula, Aidi; Seddik-Ameur, N.; Ahmad, Abd EL-Baset A.; Khaleel, Mundher A.
- Abstract
Al-Shomrani et al. (2016) introduced a new family of distributions (TL-G) based on the Topp-Leonedistribution(TL)by replacing the variable xby any cumulative distribution function G(t). With only one extra parameter which control the skewness, this family isagood competitor to several generalized distributions used in statistical analysis. In thiswork, we consider the extended exponential as the baseline distribution Gto obtain anewmodel called theTopp-Leone extended exponential distribution TL-EE. After studying mathematical and statistical properties of this model, we propose different estimation methods such asmaximum likelihood estimation, method of ordinary and weighted least squares, method of percentile, method of maximum product of spacing, method of Cramer Von-Mises, modified least squares estimators andchi-squareminimummethod forestimating theunknownparameters. In addition totheclassical criteria for model selection, we develop for this distribution agoodness-of-fitstatistic testbasedonamodification of Pearson statistic. The performances of the methods used are demonstrated byanextensive simulation study. With applications tocovid-19 data andwaiting times forbank service, a comparison evaluation shows that theproposed model describes data better than severalcompetingdistributions.
- Subjects
DISTRIBUTION (Probability theory); CUMULATIVE distribution function; LEAST squares; STATISTICAL models; STATISTICS
- Publication
Pakistan Journal of Statistics & Operation Research, 2022, Vol 18, Issue 4, p817
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v18i4.3699