Parameter Estimation of Singh Maddala Distribution by Moments

• DOI: 10.14419/ijasp.v1i3.1206
• Publication Date: 2013-10-26T04:05:23Z
• Authors: Mirza Naveed Shahzad; Zahid Asghar
• Keywords: Kurtosis; L-moment; Cumulant; Statistic; Central moment

Singh Maddala Distribution is a flexible distribution and mostly used for modeling the income, wage, expenditure wealth of country. To model density income distribution, we have derived L-moments TL-moments SMD in closed form. These moments are to estimate scale parameter which related inequality distribution. This study shows that better alternatives against conventional estimators these equally applicable both small large sample size. Through Monte Carlo simulation study, find provide least bias smaller Root Mean Square Error statistic, coefficient variation, skewness kurtosis. We also superior if allowed discord extreme value, otherwise best fit.