The Lindley negative-binomial distribution: properties, estimation and applications to lifetime data

DOI10.1515/ms-2017-0404zbMath1478.60055OpenAlexW3072904235MaRDI QIDQ2057865

Muhammad Mansoor, Ayman Alzaatreh, Sajid Ali, Muhammad Hussain Tahir

Publication date: 7 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0404

zbMATH Keywords

maximum likelihood estimationBayesian estimationbathtub failure rateMarkov chain Monte Carlo simulationLindley distributionnegative-binomial distribution

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05)

Cites Work

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• A Mathematical Theory of Communication
• A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function
• Computer generation of random variables with Lindley or Poisson-Lindley distribution via the Lambert \(W\) function
• Lindley distribution and its application
• Power Lindley distribution and associated inference
• On the Lambert \(w\) function
• The beta-Lindley distribution: properties and applications
• A generalized Lindley distribution
• How to Identify a Bathtub Hazard Rate
• The Harris Extended Exponential Distribution
• On the Bayesian estimation of the weighted Lindley distribution
• Estimation of the Reliability of a Stress-Strength System from Power Lindley Distributions

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