Title of article
The exponentiated half logistic-log-logistic Weibull distribution: Model, properties and applications
Author/Authors
Makubate, Boikanyo Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW , Chamunorwa, Simbarashe Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW , Oluyede, Broderick Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW , Chipepa, Fastel Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW
Pages
20
From page
101
To page
120
Abstract
We develop a generalized distribution, namely, exponentiated half logistic
log-logistic Weibull distribution. Several structural properties of the distribution including
expansion of density, distribution of order statistics, Rényi entropy, moments,
probability weighted moments, quantile function, generating function, and maximum
likelihood estimates were derived. A simulation study to examine the consistency of
the maximum likelihood estimates was conducted. Finally, real data examples are presented
to illustrate the applicability and usefulness of the proposed model.
Keywords
Generalized distribution , Half logistic distribution , Log-logistic distribution , Maximum likelihood estimation , Weibull distribution
Journal title
Journal of Statistical Modelling: Theory and Applications (JSMTA)
Serial Year
2021
Record number
2714886
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