Extended Half-Power Exponential Distribution with Applications to COVID-19 Data

In this paper, the Extended Half-Power Exponential (EHPE) distribution is built on the basis of the Power Exponential model. The properties of the EHPE model are discussed: the cumulative distribution function, the hazard function, moments, and the skewness and kurtosis coefficients. Estimation is c...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-03, Vol.10 (6), p.942
Main Authors: Santoro, Karol I., Gómez, Héctor J., Barranco-Chamorro, Inmaculada, Gómez, Héctor W.
Format: Article
Language:English
Subjects:
Coronaviruses
COVID-19
COVID-19 data
Distribution functions
Electric power distribution
Kurtosis
Mathematics
maximum likelihood
Maximum likelihood estimates
Monte Carlo simulation
nonnegative distributions
Probability distribution functions
Random variables
Survival analysis
symmetric distributions
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Summary:In this paper, the Extended Half-Power Exponential (EHPE) distribution is built on the basis of the Power Exponential model. The properties of the EHPE model are discussed: the cumulative distribution function, the hazard function, moments, and the skewness and kurtosis coefficients. Estimation is carried out by applying maximum likelihood (ML) methods. A Monte Carlo simulation study is carried out to assess the performance of ML estimates. To illustrate the usefulness and applicability of EHPE distribution, two real applications to COVID-19 data in Chile are discussed.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10060942