A Topp-Leone generator of exponentiated power Lindley distribution and its application

Aryuyuen, Sirinapa

doi:10.12988/ams.2018.8454

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…Several Topp-Leone families of distributions can be generated by specifying the cdf, ( ). Many authors studied the Topp-Leone family, for example the Topp-Leone Burr-XII distribution by Reyad and Othman (2017) and Topp-Leone exponentiated power Lindley by Aryuyuen (2018). Also, Reyad et al (2019) presented the Topp-Leone generalized inverted Kumaraswamy distribution.…”

Section: Introductionmentioning

confidence: 99%

Topp-Leone Alpha Power Family of Distributions

Hozaien

AL-Dayian

Yehia

et al. 2022

المجلة المصرية للدراسات التجارية

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In this paper, Topp-Leone alpha power family of distributions is presented based on the method called alpha power transformation which is suggested by Mahdavi and Kundu (2016). The Topp-Leone alpha power family of distributions is rich and flexible for modeling data. Some statistical properties of the proposed family are studied including quantile function, moments and moment generating function, mean residual life, and order statistics. Also, the results of the paper are specialized to Topp-Leone alpha power Weibull distribution. Some of its statistical properties are obtained. Moreover, the maximum likelihood estimators of the unknown parameters of the Topp-Leone alpha power Weibull distribution are obtained. A simulation study is conducted to evaluate the performance of the maximum likelihood estimators of the parameters of the Topp-Leone alpha power Weibull distribution. Finally, a real data set is applied, and the results show that the Topp-Leone alpha power Weibull distribution is more appropriate as compared to the Topp-Leone exponential, alpha power Weibull, and Weibull distributions.

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Section: Introductionmentioning

confidence: 99%

Topp-Leone Alpha Power Family of Distributions

Hozaien

AL-Dayian

Yehia

et al. 2022

المجلة المصرية للدراسات التجارية

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“…Several generalizations of the distribution have been introduced to address the aforementioned drawback. These generalizations are found in the works of [1][2][3][4][5]9,10]. In this paper, we introduce a new generalization of the Topp-Leone distribution which serves as an alternative distribution among the Topp-Leone generated family of Diamond O. Tuoyo, Festus C. Opone and N. Ekhosuehi http://www.earthlinepublishers.com 382 distributions.…”

Section: Introductionmentioning

confidence: 99%

The Topp-Leone Weibull Distribution: Its Properties and Application

Tuoyo

Opone

Ekhosuehi

2021

EJMS

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This paper presents a new generalization of the Topp-Leone distribution called the Topp-Leone Weibull Distribution (TLWD). Some of the mathematical properties of the proposed distribution are derived, and the maximum likelihood estimation method is adopted in estimating the parameters of the proposed distribution. An application of the proposed distribution alongside with some well-known distributions belonging to the Topp-Leone generated family of distributions, to a real lifetime data set reveals that the proposed distribution exhibits more flexibility in modeling lifetime data based on some comparison criteria such as maximized log-likelihood, Akaike Information Criterion [AIC=2k-2 log⁡(L) ], Kolmogorov-Smirnov test statistic (K-S) and Anderson Darling test statistic (A*) and Crammer-Von Mises test statistic (W*).

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