The Marshall–Olkin Inverted Nadarajah–Haghighi Distribution: Estimation and Applications

Gulnaz Raffiq, Iram Sajjad Dar, Muhammad Ahsan Ul Haq () and Eduardo Ramos
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Gulnaz Raffiq: University of Punjab
Iram Sajjad Dar: University of Punjab
Muhammad Ahsan Ul Haq: University of Punjab
Eduardo Ramos: University of São Paulo

Annals of Data Science, 2022, vol. 9, issue 6, No 11, 1323-1338

Abstract: Abstract We introduced and studied a new three-parameter lifetime distribution based on Marshall–Olkin and inverted Nadarajah–Haghighi distribution. In comparison with some existing lifetime models, the new distribution has very flexible shapes for hazard rate as well as for the probability density function. The related mathematical functions of the new distribution are presented. The maximum likelihood method is considered to obtain the parameter estimates of the MOINH distribution. A simulation study is presented to assess the behavior of the proposed estimator. The potentiality of the distribution is illustrated by fitting two real data sets.

Keywords: MO-family; Inverted Nadarajah–Haghighi; Reliability analysis; Estimation; Data analysis (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s40745-020-00297-7

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