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On the Alpha-Power Inverse Weibull Distribution

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2018
Authors:
Dina A. Ramadan, Walaa Magdy A.
10.5120/ijca2018917657

Dina A Ramadan and Walaa Magdy A.. On the Alpha-Power Inverse Weibull Distribution. International Journal of Computer Applications 181(11):6-12, August 2018. BibTeX

@article{10.5120/ijca2018917657,
	author = {Dina A. Ramadan and Walaa Magdy A.},
	title = {On the Alpha-Power Inverse Weibull Distribution},
	journal = {International Journal of Computer Applications},
	issue_date = {August 2018},
	volume = {181},
	number = {11},
	month = {Aug},
	year = {2018},
	issn = {0975-8887},
	pages = {6-12},
	numpages = {7},
	url = {http://www.ijcaonline.org/archives/volume181/number11/29814-2018917657},
	doi = {10.5120/ijca2018917657},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

A new method for adding parameters to a well-established distribution to obtain more flexible new families of distributions is applied to the inverse Weibull distribution (IWD). This method is known by the Alpha-Power transformation (APT) and introduced by Mahdavi and Kundu [9]. The statistical and reliability properties of the proposed models are studied. The estimation of the model parameters by maximum likelihood and the observed information matrix are also discussed. The extended model is applied on a real data and the results are given and compared to other models.

References

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Keywords

Weibull distribution; inverse Weibull distribution; maximum-likelihood estimation; survival function; fisher information matrix; order statistic.