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Annals of Data Science

22-08-2024

The Modified Lindley Distribution Through Convex Combination with Applications in Engineering

Authors: Afaq Ahmad, A. A. Bhat, S. P. Ahmad, Raheela Jan

Published in: Annals of Data Science

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Abstract

This paper introduces a Modified Lindley distribution using a convex combination of exponential and gamma distribution. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, reliability, hazard rate, moment generating function, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than many other models.

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Shi Y (2022) Big data and big data analytics. Adv Big Data Anal. https://doi.org/10.1007/978-981-16-3607-3_1CrossRef

Olson DL, Shi Y (2007) Introduction to business data mining. McGraw-Hill/Irwin, New York

Tien JM (2017) Internet of things, real-time decision making, and artificial intelligence. Ann Data Sci 4(2):149–178CrossRef

Lindley DV (1958) Fiducial distributions and Bayes’ theorem. J Roy Stat Soc B 20:102–107. https://doi.org/10.1111/j.2517-6161.1958.tb00278.xCrossRef

Ghitany ME, Atieh B, Nadarajah S (2008) Lindley distribution and its applications. Math Comput Simul 78:493–506. https://doi.org/10.1016/j.matcom.2007.06.007CrossRef

Deniz E, Ojeda E (2011) The discrete Lindley distribution: properties and applications. J Stat Comput Simul 81:1405–1416. https://doi.org/10.1080/00949655.2010.487825CrossRef

Shanker R, Mishra A (2013) A Quasi Lindley distribution. Afr J Math Comput Sci Res 6(4):64–71. https://doi.org/10.5897/AJMCSR12.067CrossRef

Jabbari NM (2021) Comparing estimation of the parameters of distribution of the root density of plants in the presence of outliers. Environmetrics 32(5):e2676CrossRef

Fatehi YE, Chhaya DS (2023) Alpha power transformed extended power lindley distribution. J Stat Theory Appl 18:1–18. https://doi.org/10.1007/s44199-022-00051-3CrossRef

10.

Lee C, Famoye F, Alzaatreh A (2013) Methods for generating families of univariate continuous distributions in the recent decades. Wiley Interdiscip Rev Comput Stat 5(3):219–238. https://doi.org/10.1002/wics.1255CrossRef

11.

Shanker R, Shukla KK (2017) Ishita distribution and its applications. Biomet Biostat Int J 5(2):1–9. https://doi.org/10.15406/bbij.2017.05.00126CrossRef

12.

Shukla KK (2018) Pranav distribution with properties and applications. Biomet Biostat Int J 7(3):244–254. https://doi.org/10.15406/bbij.2018.07.00215CrossRef

13.

Shanker R (2015) Akash distribution and its applications. Int J Probab Stat 4(3):65–75. https://doi.org/10.5923/j.ijps.20150403.01CrossRef

14.

Shanker R, Shukla KK (2017) On two-parameter Akash distribution. Biomet Biostat Int J 6(5):416–425. https://doi.org/10.15406/bbij.2017.06.00178CrossRef

15.

Swain JJ, Venkatraman S, Wilson JR (1988) Least-squares estimation of distribution functions in Johnson’s translation system. J Stat Comput Simul 29(4):271–297. https://doi.org/10.1080/00949658808811068CrossRef

16.

Nichols MD, Padgett WJ (2006) A bootstrap control chart for weibull percentiles. Qual Reliab Eng Int 22(2):141–151. https://doi.org/10.1002/qre.691CrossRef

17.

Murthy DNP, Xie M, Jiang R (2004) Weibull models. John Wiley & Sons, New York. https://doi.org/10.1002/047147326XCrossRef

Title: The Modified Lindley Distribution Through Convex Combination with Applications in Engineering
Authors: Afaq Ahmad
A. A. Bhat
S. P. Ahmad
Raheela Jan
Publication date: 22-08-2024
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-024-00569-6

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