Nakagami Distribution with Heavy Tails and Applications to Mining Engineering Data
Nakagami Distribution with Heavy Tails and Applications to Mining Engineering Data
Authors
Reyes, Jimmy
Rojas, Mario A.
Venegas, Osvaldo
Gomez, Hector W.
Rojas, Mario A.
Venegas, Osvaldo
Gomez, Hector W.
Authors
Date
Datos de publicaciĆ³n:
JOURNAL OF STATISTICAL THEORY AND PRACTICE,Vol.14,,2020
Keywords
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Abstract
In this paper we introduce a new extension of the Nakagami distribution. This new distribution is obtained by the quotient of two independent random variables. The quotient consists of a Nakagami distribution divided by a power of the uniform distribution in (0,1). Thus the new distribution has a heavier tail than the Nakagami distribution. In this study we obtain the density function and some important properties for making the inference, such as estimators of moment and maximum likelihood. We examine two sets of real data from the mining industry which show the usefulness of the new model in analyses with high kurtosis.