The Topp-Leone Weibull Distribution: Its Properties and Application

Tuoyo, Diamond O.; Opone, Festus C.; Ekhosuehi, N.

doi:10.34198/ejms.7221.381401

Cited by 6 publications

(2 citation statements)

References 11 publications

(16 reference statements)

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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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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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“…Kumaraswamy Exponential Pareto (KEP) distribution was introduced by Elbatal and Aryal (2017) using the Kum-G technique and most recently, the Gompertz-G technique was explored for developing the Gompertz Exponential Pareto distribution by (Adeyemi et al, 2021) . Dikko and Faisal (2017) proposed the generalized exponential Weibull (GEW) distribution and the Topp Leone Weibull distribution (TLWD) was introduced by (Tuoyo et al, 2021) .…”

Section: Introductionmentioning

confidence: 99%

Extension of Exponential Pareto Distribution with the Order Statistics: Some Properties and Application to Lifetime Dataset

Adeyemi

Adeleke

Akarawak

2023

Sci. Technol. Indones

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The Exponential Pareto (EP) model has been extended by applied and theoretical statisticians for wider applications and new knowledge using different techniques but the Weibull-X technique has not been considered. This article proposed a new extension of the EP model called the Weibull-Exponential Pareto (WEP) distribution to provide better modeling that fits real-life datasets and to explore the statistical theory of order statistics from the proposed distribution. Statistical properties investigated include the Shannon and Renyi entropies; the moments and moment generating function. Distribution of order statistics and the moment of order statistics were derived including the mean and variance of order statistics. WEP distribution has unimodal, decreasing, and increasing failure rates; and it can be negatively or positively skewed and approximately symmetric with the potential for fitting platykurtic, mesokurtic, and leptokurtic lifetime data. The parameters of the distribution were estimated using the method of maximum likelihood estimation (MLE), which was examined for consistency through a simulation study. The performance of the proposed distribution was investigated by application to flood peaks exceedances and some lifetime datasets from engineering. The results from data analysis using the R-software revealed that the WEP distribution has the potential to provide a superior model that fits the three data sets better than some notable existing distributions and previous extensions of the EP model in the literature. The statistical property of order statistics extended in the study established some important results that characterized some notable lifetime distributions in the literature.

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Different estimation methods of the modified Kies Topp-Leone model with applications and quantile regression

Alghamdi,

Albalawi,

Almarzouki

et al. 2024

PLoS ONE

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This paper introduces the modified Kies Topp-Leone (MKTL) distribution for modeling data on the (0, 1) or [0, 1] interval. The shapes of the density and hazard rate functions manifest desirable shapes, making the MKTL distribution suitable for modeling data with different characteristics at the unit interval. Twelve different estimation methods are utilized to estimate the distribution parameters, and Monte Carlo simulation experiments are executed to assess the performance of the methods. The simulation results suggest that the maximum likelihood method is the superior method. The usefulness of the new distribution is illustrated by utilizing three data sets, and its performance is juxtaposed with that of other competing models. The findings affirm the superiority of the MKTL distribution over the other candidate models. Applying the developed quantile regression model using the new distribution disclosed that it offers a competitive fit over other existing regression models.

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The Topp-Leone Weibull Distribution: Its Properties and Application

Cited by 6 publications

References 11 publications

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

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

Extension of Exponential Pareto Distribution with the Order Statistics: Some Properties and Application to Lifetime Dataset

Different estimation methods of the modified Kies Topp-Leone model with applications and quantile regression

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