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Annals of Data Science
Erschienen in: Annals of Data Science 2/2019

17.08.2018

Inverse Gompertz Distribution: Properties and Different Estimation Methods with Application to Complete and Censored Data

verfasst von: M. S. Eliwa, M. El-Morshedy, Mohamed Ibrahim

Erschienen in: Annals of Data Science | Ausgabe 2/2019

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Abstract

In this article, we introduce inverse Gompertz distribution with two parameters. Some statistical properties are presented such as hazard rate function, quantile, probability weighted (moments), skewness, kurtosis, entropies function, mean residual lifetime and mean inactive lifetime. The model parameters are estimated by the method of maximum likelihood, bootstrap, least squares, weighted least squares and Cramér-von Mises. Further, Monte Carlo simulations are carried out to compare the long-run performance of the estimators based on complete and type II right censored data. Finally, we estimate the parameters based on behavioral sciences data and fatigue life of 10 bearing of a certain type in hours censored data, which explain that the model fits the data better than some models.
Vorheriger Artikel Analysis on Housing Affordability of Urban Residents in Mainland China Based on Multiple Indexes: Taking 35 Cities as Examples
Nächster Artikel A Note on Modeling the Maxima of Lagos Rainfall

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Metadaten
Titel
Inverse Gompertz Distribution: Properties and Different Estimation Methods with Application to Complete and Censored Data
verfasst von
M. S. Eliwa
M. El-Morshedy
Mohamed Ibrahim
Publikationsdatum
17.08.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Annals of Data Science / Ausgabe 2/2019
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-018-0173-0

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