Lindley distribution and its application

By Mohamed E. Ghitany, B. Atieh, Saralees Nadarajah. Mathematics and Computers in Simulation, 2008

801 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c62741e905fe7210b9acc8f45b38690ac0625eb3

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Citations in the corpus

A new two parameter lifetime distribution: model and properties (2012, neutral): “[9] in fitting the Lindely distribution.”
A two-parameter Lindley distribution (2013, methodology): “…++′ ′ ′ ′= = = = + + + + (1.3) and its central moments have been obtained as ( ) ( ) ( ) ( ) ( ) 3 2 4 3 22 2 3 42 3 42 3 4 2 6 6 2 3 3 24 44 32 84 2 , , 1 1 1 θ θ θ θ θ θ θθ θµ µ µ θ θ θ θ θ θ + + + + + + ++ + = = = + + + (1.4) Ghitany et al (2008) studied various properties of this distribution.”
The generalized inverse Lindley distribution: A new inverse statistical model for the study of upside-down bathtub data (2016, background): “(1) Ghitany et al. (2008) have given a comprehensive mathematical treatment to summarize the statistical properties of the Lindley distribution and showed that the Lindley distribution fits better than the exponential distribution based on the waiting times before service of the bank customers.”
A new extension of Lindley distribution: modified validation test, characterizations and different methods of estimation (2019, neutral): “In the literature, certain generalizations on the Li distribution are proposed and studied (Ghitany et al. , 2008a, b; Deniz and Ojeda, 2011; Ghitany et al. , 2011; Nadarajah et al. , 2011; Alizadeh et al. , 2016, 2017).”
Generalized Poisson–Lindley Distribution (2010, methodology): “4) is the same as the zero-truncated Poisson–Lindley distribution, due to Ghitany et al. (2008).”
Inferences on Stress-Strength Reliability from Lindley Distributions (2013, methodology): “Ghitany et al. (2008) showed that the pdf of the Lindley distribution is unimodal when 0 < < 1, and is decreasing when ≥ 1.”
Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data (2019, background): “Ghitany et al. (2008) provided a comprehensive account of the statistical properties of the Lindley distribution and established that it performs better than the well-known exponential distribution in many ways.”
Transmuted Lindley-Geometric Distribution and its applications (2013, background): “ion was originally proposed by Lindley [19] in the context of Bayesian statistics, as a counter example of fudicial statistics. More details on the Lindley distribution can be found in Ghitany et al. [8]. A random variable X is said to have the Lindley distribution with parameter θ if its probabilit”
On the one parameter unit-Lindley distribution and its associated regression model for proportion data (2018, background): “Mean deviation As pointed out, for example in [9], the amount of scatter in a population is measured to some extent by the totality of deviations from the mean and the median.”