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Journal of Statistical Theory and Applications (JSTA)
Article . 2016 . Peer-reviewed
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DBLP
Article . 2016
Data sources: DBLP
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The Gumbel-Lomax Distribution: Properties and Applications

Authors: Muhammad Hussain Tahir; Muhammad Adnan Hussain; Gauss M. Cordeiro; G. G. Hamedani; Muhammad Mansoor; Muhammad Zubair;

The Gumbel-Lomax Distribution: Properties and Applications

Abstract

We introduce a new four-parameter model called the Gumbel-Lomax distribution arising from the Gumbel- X generator recently proposed by Al-Aqtash (2013). Its density function can be right-skewed and reversed-J shaped, and can have decreasing and upside-down bathtub shaped hazard rate. Various structural properties of the new distribution are obtained including explicit expressions for the quantile function, ordinary and incom- plete moments, Lorenz and Bonferroni curves, mean residual lifetime, mean waiting time, probability weighted moments, generating function and Shannon entropy. We also provide the density function for the order statis- tics. Some characterizations of the new distribution based on the conditional expectations of certain functions of the random variable are also proposed. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is determined. The flexibility of the new model is illustrated by means of two real lifetime data sets.

Keywords

Characterization; Gumbel distribution; Gumbel-X family; Lomax distribution; Shannon entropy; T-X family., Probabilities. Mathematical statistics, QA273-280

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 10%
Top 10%
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