NDLI: The modified Weibull geometric distribution

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The modified Weibull geometric distribution

Content Provider	Springer Nature Link
Author	Elbatal, Ibrahim Wang, Min
Copyright Year	2014
Abstract	A new class of lifetime distributions is introduced by compounding the modified Weibull and geometric distributions, the so-called modified Weibull geometric distribution. It includes as special submodels such as linear failure rate geometric distribution, Weibull geometric distribution, exponential geometric distribution, among others. We study its structural properties including probability density function, hazard functions, moments, generating and quantile functions. The distribution is capable of monotonically increasing, decreasing, bathtub-shaped, and upside-down bathtub-shaped hazard rates. Estimation by maximum likelihood and inference for a large sample are presented. An expectation-maximization algorithm is used to determine the maximum likelihood estimates of the parameters. Finally, a real data set is analyzed for illustrative purposes.
Starting Page	303
Ending Page	315
Page Count	13
File Format	PDF
ISSN	00261424
Journal	METRON
Volume Number	73
Issue Number	3
e-ISSN	2281695X
Language	English
Publisher	Springer Milan
Publisher Date	2014-08-15
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Maximum likelihood estimation Hazard function Statistical Theory and Methods Modified Weibull distribution Geometric distribution EM algorithm Statistics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability

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