POWER LOMAX POISSON DISTRIBUTION: PROPERTIES AND ESTIMATION

A new four-parameter lifetime distribution named as the power Lomax Poisson is introduced and studied. The subject distribution is obtained by combining the power Lomax and Poisson distributions. Structural properties of the power Lomax Poisson model are implemented. Estimation of the model paramete...

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Bibliographic Details
Published inJournal of Data Science Vol. 16; no. 1; pp. 105 - 127
Main Authors Hassan, Amal S., Nassr, Said G.
Format Journal Article
LanguageEnglish
Published 中華資料採礦協會 24.02.2021
Subjects
Least squares
Moments
Maximum likelihood
Poisson distribution
Power Lomax distribution
Probability Weighted moments
Weighted Least squares
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Summary:A new four-parameter lifetime distribution named as the power Lomax Poisson is introduced and studied. The subject distribution is obtained by combining the power Lomax and Poisson distributions. Structural properties of the power Lomax Poisson model are implemented. Estimation of the model parameters are performed using the maximum likelihood, least squares and weighted least squares techniques. An intensive simulation study is performed for evaluating the performance of different estimators based on their relative biases, standard errors and mean square errors. Eventually, the superiority of the new compounding distribution over some existing distribution is illustrated by means of two real data sets. The results showed the fact that, the suggested model can produce better fits than some well-known distributions.
ISSN:1683-8602
1680-743X
1683-8602
DOI:10.6339/JDS.201801_16(1).0007