International Journal of Sciences: Basic and Applied Research
Abstract
We study the log-gamma-Pareto distribution which includes as special cases two models such as gamma-Pareto and Pareto distributions. We demonstrate that its density function is an infinite linear combination of Pareto densities. Some mathematical properties of the new distribution are derived, such as moments, distribution of the order statistics, Shannon and Renyi entropies and maximum entropy characterization. We use maximum likelihood estimation to estimate model parameters and an application to a real data set illustrates its potentiality. We generate random numbers from the cdf of the distribution and obtain the mean, bias, mean square error, standard error, Kurtosis and Skewness for each parameter
