The Marshall–Olkin extended generalized Lindley distribution: Properties and applications

Benkhelifa, Lazhar

doi:10.1080/03610918.2016.1277747

Cited by 11 publications

(4 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Weibull distribution (W), Lindley (Li) distribution [15], Generalized Lindley (GL) [25], Power Lindley (PL) distribution [14], Topp-Leone Lindley distribution (TL-Li) [2], Odd Log-Logistic Lindley (OLL-Li) [26], MarshallOlkin extended generalized Lindley distribution (MOGLi) [7] and Generalized Exponential (GE) [19] have been selected for comparison in two examples. The pdf of these models are given in Appendix.…”

Section: Applicationsmentioning

confidence: 99%

A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

Hashempour‎

2022

Hacettepe Journal of Mathematics and Statistics

View full text Add to dashboard Cite

‎Based on the Topp-Leone distribution‎, ‎we propose a new family of continuous‎ ‎distributions with one shape parameter called the weighted Topp-Leone family (WTL-G)‎. ‎We study some basic properties including quantile function‎, ‎asymptotic‎, ‎mixture for cdf and pdf‎, ‎various entropies and order statistics‎ .‎Then we study Lindley case as special case with more details‎. ‎The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study‎. ‎Finally‎, ‎three real data sets are illustration the purposes.

show abstract

Section: Applicationsmentioning

confidence: 99%

A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

Hashempour‎

2022

Hacettepe Journal of Mathematics and Statistics

View full text Add to dashboard Cite

show abstract

“…Okasha et al [ 11 ] introduced a detailed study of M-O Extended inverse Weibull which can be obtained as a mathematical propery with estimation of the maximum Likelihood and stress-strength parameter. Benkhelifa [ 12 ] also proposed properties and applications for the M-O extended generalized Lindley distribution. Okasha and Shrahili [ 13 ] obtained various results on the M-O Burr type XII Distribution in the context of reliability properties and survival analysis.…”

Section: Introductionmentioning

confidence: 99%

On a new generalized lindley distribution: Properties, estimation and applications

Algarni

2021

PLoS ONE

View full text Add to dashboard Cite

In this study, an extension of the generalized Lindley distribution using the Marshall-Olkin method and its own sub-models is presented. This new model for modelling survival and lifetime data is flexible. Several statistical properties and characterizations of the subject distribution along with its reliability analysis are presented. Statistical inference for the new family such as the Maximum likelihood estimators and the asymptotic variance covariance matrix of the unknown parameters are discussed. A simulation study is considered to compare the efficiency of the different estimators based on mean square error criterion. Finally, a real data set is analyzed to show the flexibility of our proposed model compared with the fit attained by some other competitive distributions.

show abstract

“…Several new distributions have been proposed by using the Marshall-Olkin method. For example, the MOE normal distribution has been proposed by Garcia et al (2010), the MOE Burr type XII distribution has been introduced by Al-Saiari et al (2014) (see also Kumar (2016), Ristíc and Kundu (2015) defined the MOE generalized exponential distribution, Okasha et al (2016) introduced the MOE generalized linear exponential distribution and Benkhelifa (2017) introduced the MOE generalized Lindley distribution. Cordeiro et al (2014) studied the general properties of the MOE-G distribution.…”

Section: Introductionmentioning

confidence: 99%

The Marshall-Olkin extended generalized Gompertz distribution

Benkhelifa¹

2021

Journal of Data Science

Self Cite

View full text Add to dashboard Cite

A new four-parameter model called the Marshall-Olkin extended generalized Gompertz distribution is introduced. Its hazard rate function can be constant, increasing, decreasing, upside-down bathtub or bathtub-shaped depending on its parameters. Some mathematical properties of this model such as expansion for the density function, moments, moment generating function, quantile function, mean deviations, mean residual life, order statistics and Rényi entropy are derived. The maximum likelihood technique is used to estimate the unknown model parameters and the observed information matrix is determined. The applicability of the proposed model is shown by means of a real data set.

show abstract

The Marshall–Olkin extended generalized Lindley distribution: Properties and applications

Cited by 11 publications

References 16 publications

A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

A weighted Topp-Leone G family of distributions: properties, applications for modelling reliability data and different method of estimation

On a new generalized lindley distribution: Properties, estimation and applications

The Marshall-Olkin extended generalized Gompertz distribution

Contact Info

Product

Resources

About