The modified slash Lindley-Weibull distribution with applications to nutrition data
The modified slash Lindley-Weibull distribution with applications to nutrition data
Authors
Reyes, Jimmy
Arrue, Jaime
Venegas, Osvaldo
Gomez, Hector W.
Arrue, Jaime
Venegas, Osvaldo
Gomez, Hector W.
Profesor GuĆa
Authors
Date
Datos de publicaciĆ³n:
10.1080/02664763.2021.1975661
JOURNAL OF APPLIED STATISTICS,Vol.,,2021
JOURNAL OF APPLIED STATISTICS,Vol.,,2021
Tipo de recurso
Keywords
Materia geogrƔfica
Collections
Abstract
This work presents an extension of the slash Lindley-Weibull distribution, of which it can be considered a modification. The new family is obtained by using the quotient of two independent random variables: a two-parameter Lindley-Weibull distribution divided by a power of the exponential distribution with parameter equal to 2. We present the pdf and cdf of the new distribution, analyzing their risk functions. Some statistical properties are studied and the moments and coefficients of asymmetry and kurtosis are shown. The parameter estimation problem is carried out by the maximum likelihood method. The method is assessed by a Monte Carlo simulation study. We use nutrition data, which are characterized by high kurtosis, to illustrate the usefulness of the proposed model.