TY - JOUR AU - Punathumparambath, Bindu AU - Kulathinal, Sangita PY - 2023/03/31 Y2 - 2024/03/29 TI - ASYMMETRIC DOUBLE LOMAX DISTRIBUTION: THEORY AND APPLICATIONS: Asymmetric Double Lomax Distribution JF - Journal of the Kerala Statistical Association JA - JKSA VL - 33 IS - 1 SE - Articles DO - UR - https://ojs.ksa.org.in/index.php/JKSA/article/view/42 SP - 21-49 AB - <p>The double Lomax distribution is the ratio of two independent and identically distributed<br>classical Laplace distributions and it can be used to analyse data sets with heavy tails<br>and peakedness. In the present paper, we introduce asymmetric generalization of double<br>Lomax distribution. We derived the probability density function of asymmetric double<br>Lomax distribution and its various properties were studied. The maximum likelihood<br>estimation procedure is employed to estimate the parameters of the proposed distribution<br>and an algorithm in R package is developed to carry out the estimation. To validate the<br>algorithm, simulation studies were conducted with various parameter values. Finally, we<br>fitted the asymmetric double Lomax, asymmetric Laplace, double Lomax and Gaussian<br>distributions to microarray gene expression dataset and financial datasets and compared<br>them.<br><br></p> ER -