A lifetime model with increasing failure rate

Bakouch, Hassan S.; Jazi, Mansour Aghababaei; Nadarajah, Saraless; Dolati, Ali; Roozegar, Rasool

doi:10.1016/j.apm.2014.04.028

Cited by 23 publications

(16 citation statements)

References 15 publications

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“…The binomial-exponential 2 (B E2) distribution has been introduced by Bakouch et al [6] as a distribution of a random sum of independent exponential random variables when the sample size has a zero truncated binomial distribution. The B E2 distribution has the probability density function (pdf) f (x; θ, λ) = 1 + (λx − 1) θ 2 − θ λe −λx , (1.1) and the cumulative distribution function (cdf)…”

Section: Introductionmentioning

confidence: 99%

“…Bakouch et al [6] in their paper only considered the maximum likelihood estimation (MLE) method to estimate the parameters of the BE2 distribution. However it is of interest to compare the MLE method with other estimation procedures such as the method of moments, ordinary least-squares estimation (OLSE), weighted least-squares estimation (WLSE), percentile estimation (PCE), maximum product of spacings estimation (MPS), Cramé r-von-Mises type minimum distance estimation (CME), Anderson-Darling (ADE) and Right-tail Anderson-Darling estimation (RADE).…”

Section: Introductionmentioning

confidence: 99%

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Binomial-exponential 2 Distribution: Different Estimation Methods and Weather Applications

Bakouch

Dey

Ramos³

et al. 2017

Tend. Mat. Apl. Comput.

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ABSTRACT. In this paper, we have considered different estimation methods of the unknown parameters of a binomial-exponential 2 distribution. First, we briefly describe different methods of estimation such as maximum likelihood, method of moments, percentile based estimation, least squares, method of maximum product of spacings, method of Cramér-von-Mises, methods of Anderson-Darling and right-tail AndersonDarling, and compare them using extensive simulations studies. Finally, the potentiality of the model is studied using three real data sets related to the total monthly rainfall during April, May and September at São Carlos, Brazil.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Binomial-exponential 2 Distribution: Different Estimation Methods and Weather Applications

Bakouch

Dey

Ramos³

et al. 2017

Tend. Mat. Apl. Comput.

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“…So, several methods for obtained new probability distributions had been studied in the statistical literature recently [13]. Adamidis and Loukas [1] have given the two-parameter exponential -geometric (EG) distribution which has decreasing failure rate.…”

Section: Introductionmentioning

confidence: 99%

A new distribution model with two-parameter

Bugatekin¹

2017

ntmsci

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This paper deals with a two-parameter new mix distribution called as RL (Rayleigh-Logarithmic) distribution with increasing failure rate. Firstly, probability density function, distribution function, r th moment, survival and hazard functions of this two-parameter RL distribution are examined. Then, estimation of parameters by using standard statistical techniques such as maximum likelihood method and entropy are given for the new mix model. In the application part, a real data set is receipted and when RL distribution compared with other distributions, this RL distribution is shown be a good competitor.

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“…Other families of lifetime distributions have been investigated by several authors. For example, Kus (2007), Tahmasbi and Rezaei (2008), Chahkandi and Ganjali (2009), Barreto-Souza and Cribari-Neto (2009), Silva et al (2010), Barreto-Souza et al (2011), Cancho et al (2011), Louzada-Neto et al (2011), Morais and Barreto-Souza (2011), Hemmati et al (2011), Alkarni and Orabi (2012), Nadarajah et al (2013), Bakouch et al (2014), and others.…”

Section: Introductionmentioning

confidence: 99%

The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution

Rahmouni

Orabi

2017

IJSP

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This paper introduces a new two-parameter lifetime distribution, called the exponential-generalized truncated geometric (EGTG) distribution, by compounding the exponential with the generalized truncated geometric distributions. The new distribution involves two important known distributions, i.e., the exponential-geometric (Adamidis and Loukas, 1998) and the extended (complementary) exponential-geometric distributions (Adamidis et al., 2005; in the minimum and maximum lifetime cases, respectively. General forms of the probability distribution, the survival and the failure rate functions as well as their properties are presented for some special cases. The application study is illustrated based on two real data sets.

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A lifetime model with increasing failure rate

Cited by 23 publications

References 15 publications

Binomial-exponential 2 Distribution: Different Estimation Methods and Weather Applications

Binomial-exponential 2 Distribution: Different Estimation Methods and Weather Applications

A new distribution model with two-parameter

The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution

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