Stochastic orders of the Marshall–Olkin extended distribution

Nanda, Asok K.; Das, Suchismita

doi:10.1016/j.spl.2011.10.003

Cited by 33 publications

(14 citation statements)

References 12 publications

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“…The resulting new models are known to give more versatility to model numerous types of data sets. The early researches employing this technique by Lam and Leung (2001), Economou and Caroni (2007), Rao et al (2009), Nanda and Das (2012), Rubio and Steel (2012), Cordeiro et al (2014) and Castellares and Lemonte (2016). According to Marshall and Olkin (1997), "the sf and pdf of the MOE class are defined, bȳ…”

Section: Introductionmentioning

confidence: 99%

The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

Gillariose¹,

Tomy²,

Jamal

et al. 2020

JRSS

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This article is devoted to a new Marshall-Olkin distribution by using a recent modification of the Lindley distribution. Mathematical features of the new model are described. Utilizing maximum likelihood method, the parameters of the new model are estimated. Performance of the estimation approach is discussed by means of a simulation procedure. Moreover, applications of the new distribution are presented which reveal its superiority over other three competing Marshall-Olkin extended distributions of the literature.

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Section: Introductionmentioning

confidence: 99%

The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

Gillariose¹,

Tomy²,

Jamal

et al. 2020

JRSS

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“…Gupta et al (2010) compared this family and the original distribution with respect to some stochastic orderings and also investigate thoroughly the monotonicity of the failure rate of the resulting distribution when the baseline distribution is Weibull. Nanda and Das (2012) investigated the tilt parameter of the M-O extended family.…”

Section: Introductionmentioning

confidence: 99%

Teori ve Uygulamaları ile Marshall-Olkin Yarı Lojistik Dağılımı

Yegen

Özel

2018

Alphanumeric Journal

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In this study we present a new distribution named as Marshall-Olkin Half Logistic (MOHL) by extending half logistic distribution to increase the flexibility. We derive some fundamental properties including survival function, hazard rate function, skewness, kurtosis, order statistics and entropy function. Parameters are estimated using maximum likelihood estimation method to fit new model. Then, a simulation study is conducted to show the performance of the proposed model

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“…In Economics, Zhou et al (2013) developed a new algorithm using stochastic orderings to reduce the search space of maintenance strategies and to enhance the efficiency of optimization algorithms. Nanda and Das (2012) investigated stochastic orderings in Marshal-Olkin family of distributions. Gui (2013) compared Marshall-Olkin power log-normal distributions using stochastic orderings.…”

Section: Introductionmentioning

confidence: 99%

Preservation properties of stochastic orderings by transformation to Harris family with different tilt parameters

Abbasi¹,

Alamatsaz²,

Cramer³

2016

ALEA

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Harris family of distributions models lifetime of a series system when the number of components is a positive random variable. In this paper, we reveal several stochastic comparisons in the Harris family with different tilt parameters and different baseline distributions with respect to the usual stochastic, shifted stochastic, proportional stochastic and shifted proportional stochastic orderings. Such comparisons are particularly useful in lifetime optimization of reliability systems. We shall also present two bounds for a Harris family survival function conditioned on its tilt parameter which are useful when aging properties are considered. Our results generalize several previous findings in this connection.

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Stochastic orders of the Marshall–Olkin extended distribution

Cited by 33 publications

References 12 publications

The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

Teori ve Uygulamaları ile Marshall-Olkin Yarı Lojistik Dağılımı

Preservation properties of stochastic orderings by transformation to Harris family with different tilt parameters

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