The Odd Exponentiated Half-Logistic Burr XII Distribution

Aldahlan, Maha A.; Afify, Ahmed Z.

doi:10.18187/pjsor.v14i2.2285

Cited by 17 publications

(19 citation statements)

References 2 publications

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“…We compared the new model to other competing non-nested models and the results are shown in Table 7 . The non-nested models considered are the beta odd Lindley-exponential (BOL-E) and beta odd Lindley-uniform (BOL-U) by Chipepa et al [15] , the exponential Lindley odd log-logistic Weibull (ELOLLW) by Korkmaz et al [16] and the odd exponentiated half logistic-Burr XII (OEHL-BXII) by Aldahlan et al [17] distributions. The pdfs of the non-nested models are given by

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Section: Applicationmentioning

confidence: 99%

A new Lindley-Burr XII power series distribution: model, properties and applications

Makubate

Gabanakgosi

Chipepa

et al. 2021

Heliyon

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A new generalized class of distributions called the Lindley-Burr XII Power Series (LBXIIPS) distribution is proposed and explored. This new class of distributions contain some special cases such as Lindley-Burr XII Poisson (LBXIIP), Lindley-Burr XII Logarithmic (LBXIIL), Lindley-Burr XII Binomial (LBXIIB) and their sub-models among others. Some structural properties of the new distribution including moments, probability weighted moments, distribution of the order statistics and entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators is presented and finally, an application to a real data set in order to illustrate the usefulness of the new distribution is given.

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Section: Applicationmentioning

confidence: 99%

A new Lindley-Burr XII power series distribution: model, properties and applications

Makubate

Gabanakgosi

Chipepa

et al. 2021

Heliyon

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“…, ( ) . The pdf of the -th order statistic can be written as [9] :…”

Section: Order Statisticsmentioning

confidence: 99%

A Four-Parameter Extension of Burr III Distribution with Applications

Okereke¹,

Ohakwe²

2021

InPrime:Ind.Jour.Pure.Applied.Math

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In this paper, we defined and studied a new distribution called the odd exponentiated half-logistic Burr III distribution. Properties such as the linear representation of the probability density function (PDF) of the distribution, quantile function, ordinary and incomplete moments, moment generating function and distribution of the order statistic were derived. The PDF and hazard rate function were found to be capable of having various shapes, making the new distribution highly flexible. In particular, the hazard rate function can be nonincreasing, unimodal and nondecreasing. It can also have the bathtub shape among other non- monotone shapes. The maximum likelihood procedure was used to estimate the parameters of the new model. We gave two numerical examples to illustrate the usefulness and the ability of the distribution to provide better fits to a number of data sets than several distributions in existence.Keywords: Burr III distribution; maximum likelihood procedure; moments; odd exponentiated half-logistic-G family; order statistics. AbstrakPada artikel ini akan didefinisikan dan dipelajari mengenai distribusi baru yang disebut distribusi Burr III setengah logistik tereksponen ganjil. Kami menurunkan beberapa sifat dari distribusi tersebut yaitu representasi linier dari fungsi kepadatan peluang (FKP), fungsi kuantil, momen biasa dan momen tidak lengkap, fungsi pembangkit momen dan distribusi statistik terurut. Fungsi FKP dan fungsi tingkat hazard diperoleh memiliki bermacam-macam bentuk, membuat distribusi baru ini sangat fleksibel. Secara khusus, fungsi tingkat hazard dapat berupa fungsi taknaik, bermodus tunggal, bisa juga tidak turun. Selain itu, fungsi ini juga dapat berbentuk seperti bak mandi di antara bentuk-bentuk tak monoton lainnya. Prosedur kemungkinan maksimum digunakan untuk mengestimasi parameter model yang baru. Kami memberikan dua contoh numerik untuk mengilustrasikan kegunaan dan kemampuan distribusi untuk menghasilkan kesesuaian yang lebih baik pada sejumlah kumpulan data dibandingkan beberapa distribusi yang ada.Kata kunci: distribusi Burr III; prosedur kemungkinan maksimum; momen; keluarga setengah logistik-G teresponen ganjil; statistic terurut.

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“…The first real data set was originally reported by (Lee and Wang 2003), which represents the remission times (in months) of a random sample of 128 bladder cancer patients. The cancer data were analyzed by (Mead and Afify 2017) and (Aldahlan and Afify 2018). The Second data set was taken from (Murthy, Xie, and Jiang 2004), which represents the failures times of 50 items.…”

Section: Applicationsmentioning

confidence: 99%

The Complementary Exponentiated Lomax-Poisson Distribution with Applications to Bladder Cancer and Failure Data

Kumar

Nassar

Afify

et al. 2021

AJS

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A new continuous four-parameter lifetime distribution is introduced by compounding the distribution of the maximum of a sequence of an independently identically exponentiated Lomax distributed random variables and zero truncated Poisson random variable, defined as the complementary exponentiated Lomax Poisson (CELP) distribution. The new distribution which exhibits decreasing and upside down bathtub shaped density while the distribution has the ability to model lifetime data with decreasing, increasing and upside-down bathtub shaped failure rates. The new distribution has a number of well-known lifetime special sub-models, such as Lomax-zero truncated Poisson distribution, exponentiated Pareto-zero truncated Poisson distribution and Pareto- zero truncated Poisson distribution. A comprehensive account of the mathematical and statistical properties of the new distribution is presented. The model parameters are obtained by the methods of maximum likelihood, least squares, weighted least squares, percentiles, maximum product of spacing and Cram\'er-von-Mises and compared them using Monte Carlo simulation study. We illustrate the performance of the proposed distribution by means of two real data sets and both the data sets show the new distribution is more appropriate as compared to the transmuted Lomax, beta exponentiated Lomax, McDonald Lomax, Kumaraswamy Lomax, Weibull Lomax, Burr X Lomax and Lomax distributions.

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The Odd Exponentiated Half-Logistic Burr XII Distribution

Cited by 17 publications

References 2 publications

A new Lindley-Burr XII power series distribution: model, properties and applications

A new Lindley-Burr XII power series distribution: model, properties and applications

A Four-Parameter Extension of Burr III Distribution with Applications

The Complementary Exponentiated Lomax-Poisson Distribution with Applications to Bladder Cancer and Failure Data

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