A new class of generalized Lindley distributions with applications

Oluyede, Broderick O.; Yang, Tiantian

doi:10.1080/00949655.2014.917308

Cited by 61 publications

(32 citation statements)

References 18 publications

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“…There are considerable amount of work in the literature on the modification of the beta distribution including work by (Eugene, Lee and Famoye 2002), (Nadarajah and Kotz, 2004), (Nadarajah and Kotz, 2006), (Cordeiro, Gomes, da Silva, and Ortega, 2013), (Oluyede and Yang, 2015), and (Makubate, Oluyede, Motobetso, Huang and Fagbamigbe, 2018), to mention a few. These extended models exhibited very interesting properties because of the two extra shape parameters that make it possible to explore skewness, kurtosis and tail properties inherent in some data.…”

Section: Introductionmentioning

confidence: 99%

A New Generalized Family of Odd Lindley-G Distributions With Application

Chipepa¹,

Oluyede²,

Makubate³

2019

IJSP

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A new family of distributions, namely the Kumaraswamy Odd Lindley-G distribution is developed. The new density function can be expressed as a linear combination of exponentiated-G densities. Statistical properties of the new family including hazard rate and quantile functions, moments and incomplete moments, Bonferroni and Lorenz curves, distribution of order statistics and R´enyi entropy are derived. Some special cases are presented. We conduct some Monte Carlo simulations to examine the consistency of the maximum likelihood estimates. We provide an application of KOL-LLo distribution to a real data set.

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Section: Introductionmentioning

confidence: 99%

A New Generalized Family of Odd Lindley-G Distributions With Application

Chipepa¹,

Oluyede²,

Makubate³

2019

IJSP

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“…Lindley distribution has an increasing, decreasing and constant hazard rate function. However, in reliability analysis and related areas, models with complex failure rate shapes such as bathtub, unimodal are desired (Oluyede and Yang (2015)). There are several new generalizations that have been introduced, that constitutes flexible families of distributions in terms of the varieties of shape and hazard function, and some of the generalizations introduced include those by Pararai et al (2015); Ghitany et al (2013); Nadarajah et al (2015); Zakerzadeh and Dolati (2009).…”

Section: Introductionmentioning

confidence: 99%

The Ristić and Balakrishnan Lindley-Poisson Distribution:Model, Theory and Application

Fagbamigbe¹,

Melamu²,

Oluyede³

et al. 2018

JAS

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A new distribution called Ristić and Balakrishnan Lindley-Poisson (RB-LP) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Lindley-Poisson, RB-Lindley and Lindley distributions. Some statistical properties of the proposed distribution including hazard rate function, moments and conditional moments are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy and distribution of the order statistics are given. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, application of the model to a real dataset is presented to illustrate the usefulness of the proposed distribution.

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“…There are various generalizations of the Lindley distribution including those that were introduced by the following authors: Zakerzadeh andDolati (2009), Nadarajah et al (2011), Ghitany et al (2013), Ghitany et al (2008) and Oluyede and Yang (2014) among others. These generalizations constitute flexible family of distributions in terms www.ccsenet.org/ijsp International Journal of Statistics and Probability Vol.…”

Section: Lindley Distributionmentioning

confidence: 99%

“…If α = 1 and γ = 0 the resulting pdf is the exponential pdf with parameter θ. Additional generalizations of the Lindley distribution include work by Oluyede and Yang (2014), and Oluyede et al (2015).…”

Section: Lindley Distributionmentioning

confidence: 99%

Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications

Oluyede¹,

Okwuokenye²,

Peace³

2015

IJSP

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In this note, stochastic comparisons and results for weighted and Lindley models are presented. Approximation of weighted distributions via Lindley distribution in the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions with monotone weight functions are obtained including approximations via the length-biased Lindley distribution. Some useful bounds and moment-type inequality for weighted life distributions and applications are presented. Incorporation of covariates into Lindley model is considered and an application to illustrate the usefulness and applicability of the proposed Lindley-Cox model is given.

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A new class of generalized Lindley distributions with applications

Cited by 61 publications

References 18 publications

A New Generalized Family of Odd Lindley-G Distributions With Application

A New Generalized Family of Odd Lindley-G Distributions With Application

The Ristić and Balakrishnan Lindley-Poisson Distribution:Model, Theory and Application

Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications

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