The Topp-Leone Burr-XII Distribution: Properties and Applications

Reyad, Hesham; Othman, Soha

doi:10.9734/bjmcs/2017/33053

Cited by 18 publications

(9 citation statements)

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“…Many distributions have been studied by using TL-G for different baselines. Aryal et al [2] studied TL Weibull distribution, Abbas et al [3] introduced and studied TL inverse Weibull, Reyad and Othman [4] studied TL Burr-XII distribution, the TL Nadarajah-Haghighi distribution was proposed by Yousof and Korkmaz [5], the odd Lindley-G was proposed by Gomes et al [6], Reyad et al [7] proposed TL generalized inverted Kumaraswamy distribution, TL compound Rayleigh distribution is studied by Rasheed [8], odd Nadarajah-Haghighi-G was proposed by Nascimento et al [9], Oguntunde et al [10] introduced TL Lomax distribution, Al-Marzouki et al [11] studied type II TL power Lomax distribution, Al-Marzouki et al [12] studied TL odd Fréchet-G family, and Al-Babtain et al [13] proposed sine TL-G family.…”

Section: Introductionmentioning

confidence: 99%

[Retracted] Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model

Aldahlan

2022

Journal of Mathematics

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A more flexible two-parameter model named the Topp Leone inverse Lindley model is investigated. Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. Plot analysis for mean, variance, skewness, and kurtosis is performed. The density of the new model can be right skewed and decreasing with unimodal and bimodal shapes. Also, its hazard rate function can be decreasing and upside-down. The maximum likelihood (ML) estimation method is used to estimate the parameters of the distribution. The simulation study is executed to investigate the effectiveness of the estimates. The potential of the distribution is demonstrated through the application of the real biomedical dataset.

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Section: Introductionmentioning

confidence: 99%

[Retracted] Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model

Aldahlan

2022

Journal of Mathematics

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“…5 shows a concave transform, indicating that the hrf is possibly increasing. Thus for the glass fibre data we compare its fits with the following distribution: Topp-Leone Bur XII (TLBXII) distribution by Reyad and Othman [10], Beta Burr XII (BBXII) distribution by Paranaiba et al [11]. The MLEs of the parameters of these distributions considered and their corresponding standard errors (SEs) for glass fibre data are provided in in Table 2 the statistics AIC, BIC, CAIC and HQIC are listed in Table 3.…”

Section: Glass Fibre Datamentioning

confidence: 99%

Type II Topp-Leone Gumbel Type-2 distribution: Properties and Applications

Olayode¹,

Ademola²,

Friday³

2021

ARJOM

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In this paper, a three parameter life time model named Type II Topp-Leone Gumbel type-2 distribution which can be used to model reliability problems, fatigue life studies, and survival data has been studied. We derived explicit expressions for some of its statistical properties such as ordinary moments, generating function, incomplete moments, and order statistics. The maximum likelihood estimation technique is used to estimate the parameters of the model. The tractability of the model was illustrated by using two real life data sets. The proposed distribution provides a better fit than some well known distributions using criteria of criteria of goodness of fit.

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“…We Application 2: Modeling observations of the strengths of 1.5 cm glass fibers. This data has previously been used by Reyad and Othman [29].This was obtained by workers at the UK National Physical Laboratory study. The MLE's are computed using R codes and the log -likelihood function evaluated.…”

Section: Bxe-rayleigh (Bxe-r) Distributionmentioning

confidence: 99%

Burr X Exponential – G Family of Distributions: Properties and Application

Sanusi

Doguwa

Audu

et al. 2020

AJPAS

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In this paper, we developed a new class of continuous distributions called Burr X Exponential-G Family. Also, we obtained sub-models of this family of distributions such as Burr X Exponential-Rayleigh (BXE-R) and Burr X Exponential Lomax (BXE-Lx) distributions; by showing their respective densities functions. Some structural properties of the proposed family of distributions were derived such as moment, moment generating function, probability weighted moment, renyi entropy and order statistics. We estimate the parameters of the model by using Maximum Likelihood methods. Finally, the results obtained are validated using two real data sets. The results show that BXE-Lx distribution provides better fit in the data sets than some other well known distributions. However, this new family of distributions will serve as an additional generator for developing new sub models to modeling positive real data sets.

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The Topp-Leone Burr-XII Distribution: Properties and Applications

Cited by 18 publications

References 0 publications

[Retracted] Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model

[Retracted] Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model

Type II Topp-Leone Gumbel Type-2 distribution: Properties and Applications

Burr X Exponential – G Family of Distributions: Properties and Application

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