Computer generation of random variables with Lindley or Poisson–Lindley distribution via the Lambert W function

Jodrá, P.

doi:10.1016/j.matcom.2010.09.006

Cited by 89 publications

(32 citation statements)

References 10 publications

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“…However, it is possible generating random numbers by using the qfs of the Lindley and NH distributions. Jodrá (2010) used the Lambert W function to generate random numbers from the Lindley distribution.…”

Section: -Simulation Studymentioning

confidence: 99%

The Nadarajah-Haghighi Lindley distribution

Peña-Ramírez

Guerra

Cordeiro

2019

An. Acad. Bras. Ciênc.

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We define a new lifetime model based on compounding the Lindley and Nadarajah-Haghighi distributions. The proposed distribution is very competitive to other lifetime models. Some of its mathematical properties are investigated including generating function, mean residual life, moments, Bonferroni and Lorenz curves and mean deviations. We discuss the estimation of the model parameters by maximum likelihood. We provide a simulation study and two applications to real data for illustrative purposes. We prove empirically that the new distribution yields good fits to both data sets, and it can be a useful alternative for other classical lifetime models.

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Section: -Simulation Studymentioning

confidence: 99%

The Nadarajah-Haghighi Lindley distribution

Peña-Ramírez

Guerra

Cordeiro

2019

An. Acad. Bras. Ciênc.

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“…is the Lambert W-function and 0 <p<1. According to Corless et al [3] and Jodra [10]) the Lambert W function has been applied to solve several problems in mathematics, physics and engineering. Using the Lagrange inversion theorem, the power series for the W-function can be holed (see de Andrade et al [5]) as follows…”

Section: Quntile Functionmentioning

confidence: 99%

Alpha power transformed extended exponential distribution: properties and applications

Hassan¹,

Mohamd²,

Elgarhy³

et al. 2018

J. Nonlinear Sci. Appl.

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In this paper, a three-parameter lifetime model motivated by alpha power transformation is considered. We call the proposed distribution as; the alpha power transformed extended exponential (APTEE). The APTEE model contains new recent models as; alpha power transformed exponential and alpha power transformed Lindley distributions. At the same time, it contains classical models as exponential, gamma, and Lindley distributions. The properties of the APTEE distribution are derived. Parameter estimation is accomplished using maximum likelihood, percentiles, and Cramer-von Mises methods. Simulation issues and applications to real data are emphasized.

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“…The particular case of (2.6) for α = β = 1 has been derived recently by Jodrá (2010). Here, we propose two different algorithms for generating random data from the OLLMO-L distribution.…”

Section: Quantile Functionmentioning

confidence: 99%

The Odd Log-Logistic Marshall-Olkin Lindley Model for Lifetime Data

Alizadeh¹,

Özel²,

Altun³

et al. 2017

JSTA

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A new three parameter model called the odd log-logistic Marshall-Olkin-Lindley (OLLMO-L) distribution is proposed and studied. This distribution is symmetric, platykurtic, leptokurtic and unimodal. Various structural properties are derived, including explicit expressions for the ordinary and conditional moments, generating function and order statistics. We use maximum likelihood method to estimate the parameters of model. Simulation studies for some particular cases are also run to assess the performance of the maximum likelihood estimators. We prove empirically that the proposed distribution is a very competitive model to other classical models by means of two real data sets.

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Computer generation of random variables with Lindley or Poisson–Lindley distribution via the Lambert W function

Cited by 89 publications

References 10 publications

The Nadarajah-Haghighi Lindley distribution

The Nadarajah-Haghighi Lindley distribution

Alpha power transformed extended exponential distribution: properties and applications

The Odd Log-Logistic Marshall-Olkin Lindley Model for Lifetime Data

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