ASYMMETRIC DOUBLE LOMAX DISTRIBUTION: THEORY AND APPLICATIONS: Asymmetric Double Lomax Distribution

Bindu Punathumparambath; Sangita Kulathinal

Authors

Bindu Punathumparambath Department of statistics, Govt. Arts and Science College, Kozhikode, Kerala, India
Sangita Kulathinal Professor, Department of Mathematics and Statistics, University of Helsinki, Finland

Keywords:

Asymmetric double Lomax distribution ; asymmetric Laplace distribution ; double Lomax distribution ; Laplace distribution ; microarray gene expression

Abstract

The double Lomax distribution is the ratio of two independent and identically distributed
classical Laplace distributions and it can be used to analyse data sets with heavy tails
and peakedness. In the present paper, we introduce asymmetric generalization of double
Lomax distribution. We derived the probability density function of asymmetric double
Lomax distribution and its various properties were studied. The maximum likelihood
estimation procedure is employed to estimate the parameters of the proposed distribution
and an algorithm in R package is developed to carry out the estimation. To validate the
algorithm, simulation studies were conducted with various parameter values. Finally, we
fitted the asymmetric double Lomax, asymmetric Laplace, double Lomax and Gaussian
distributions to microarray gene expression dataset and financial datasets and compared
them.

ASYMMETRIC DOUBLE LOMAX DISTRIBUTION: THEORY AND APPLICATIONS