Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application

Opone, Festus C.; Ekhosuehi, N.; Omosigho, Sunday E.

doi:10.1007/s13171-020-00209-0

Cited by 8 publications

(3 citation statements)

References 7 publications

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“…Extended Power Lindley (EPL) distribution due to [17], Transmuted Power Lindley (TPL) distribution developed by [18], Kumaraswamy Power Lindley (KPL) distribution proposed by [19], Odd Log-Logistic Power Lindley (OLLPL) distribution due to [20], and Topp-Leone Power Lindley (TLPL) distribution proposed by [21]. In this paper, we use the KM transformation technique developed by [22] to explore a new horizon of the power Lindley distribution.…”

Section: Lifetime Distributions Have Become Increasingly Popular In S...mentioning

confidence: 99%

Exploring a New Lifetime Distribution for Modelling the Waiting Time of Bank Customers

Ogumeyo,

Ehiwario,

Opone

2024

JAMP

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The fitting of lifetime distribution in real-life data has been studied in various fields of research. With the theory of evolution still applicable, more complex data from real-world scenarios will continue to emerge. Despite this, many researchers have made commendable efforts to develop new lifetime distributions that can fit this complex data. In this paper, we utilized the KM-transformation technique to increase the flexibility of the power Lindley distribution, resulting in the Kavya-Manoharan Power Lindley (KMPL) distribution. We study the mathematical treatments of the KMPL distribution in detail and adapt the widely used method of maximum likelihood to estimate the unknown parameters of the KMPL distribution. We carry out a Monte Carlo simulation study to investigate the performance of the Maximum Likelihood Estimates (MLEs) of the parameters of the KMPL distribution. To demonstrate the effectiveness of the KMPL distribution for data fitting, we use a real dataset comprising the waiting time of 100 bank customers. We compare the KMPL distribution with other models that are extensions of the power Lindley distribution. Based on some statistical model selection criteria, the summary results of the analysis were in favor of the KMPL distribution. We further investigate the density fit and probability-probability (p-p) plots to validate the superiority of the KMPL distribution over the competing distributions for fitting the waiting time dataset.

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Section: Lifetime Distributions Have Become Increasingly Popular In S...mentioning

confidence: 99%

Exploring a New Lifetime Distribution for Modelling the Waiting Time of Bank Customers

Ogumeyo,

Ehiwario,

Opone

2024

JAMP

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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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“…TL-G family of distributions has been extended to other family of distributions which include Topp-Leone odd Exponential Half Logistic-G (TLOEHL-G) family of distributions [9], Topp-Leone odd Burr III-G (TLOBIII-G) family of distributions [10], Topp-Leone Kumaraswamy-G (TLK-G) family of distributions [11] 110 THE TOPP-LEONE ODD BURR X-G FAMILY OF DISTRIBUTIONS and Topp-Leone odd Lindley-G (TLOL-G) family of distributions [12]. Special cases of the TL-G distributions studied include Topp-Leone-Exponential (TL-E) distribution [5], Topp-Leone Weibull (TL-W) distribution [13], Topp-Leone Power Lindley (TL-PL) distribution [14] and Topp-Leone Lomax (TL-L) distribution [15]. [6] used the distribution function of the Burr type X random variable to develop the odd Burr X-G (OBX-G) family of distributions with pdf and cdf f(x; θ, ξ) = 2θg(x; ξ)G(x; ξ) Ḡ3 (x; ξ) exp − G(x; ξ) Ḡ(x; ξ)…”

Section: Introductionmentioning

confidence: 99%

The Topp-Leone Odd Burr X-G Family of Distributions: Properties and Applications

Oluyede,

Tlhaloganyang,

Sengweni

2023

Stat., optim. inf. comput.

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This paper proposes a new generalized family of distributions called the Topp-Leone odd Burr X-G (TLOBX-G) distribution and its special model, Topp-Leone odd Burr X-Weibull (TLOBX-W) is studied in detail. Structural properties are derived, including the hazard rate function, quantile function, density expansion, moments, R'enyi entropy, and order statistics. The maximum likelihood technique is used to estimate the parameters of the new family of distributions and a simulation study was carried out to assess the accuracy and consistency of these estimators. Finally, the applicability, usefulness, and flexibility of TLOBX-W distribution are illustrated using two real-life datasets.

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Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application

Cited by 8 publications

References 7 publications

Exploring a New Lifetime Distribution for Modelling the Waiting Time of Bank Customers

Exploring a New Lifetime Distribution for Modelling the Waiting Time of Bank Customers

The Topp-Leone Weibull Distribution: Its Properties and Application

The Topp-Leone Odd Burr X-G Family of Distributions: Properties and Applications

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