Thursday, Aug 8: 9:50 AM - 10:05 AM
2840
Contributed Papers
Oregon Convention Center
This study proposes new families of generalized inverse Pareto distributions using the T-R{Y} framework. Different choices for the distributions of the random variables T and Y lead to generalized families of the random variable R, which, in this study, is characterized by the inverse Pareto distribution. The generalized family of distributions is thus named as T-inverse Pareto{Y} family. We consider the exponential, Weibull, log-logistic, logistic, Cauchy, and extreme value distribution as potential choices for the distribution of the random variable Y. Specific members of the T-inverse Pareto{Y} family exhibit symmetric, skewed to the right, skewed to the left, unimodal, or bimodal density functions. Some statistical properties of the T-inverse Pareto{Y} family are investigated. The method of maximum likelihood is proposed for estimating the distribution parameters and its performance is assessed using a simulation study. Four real datasets from different disciplines are analyzed to demonstrate the flexibility of the proposed T-inverse Pareto{Y} family of distributions.
T-R{Y} framework
Inverse Pareto distribution
Quantile function
Maximum likelihood estimation
Censoring
Main Sponsor
Section on Statistical Computing