European Academic Research ISSN 2286-4822
ISSN-L 2286-4822
Impact Factor: 3.4546 (UIF)
DRJI Value : 5.9 (B+)
Article Details :
Article Name :
Parametric Bootstrap Method of Gini Index Analysis in Gamma Distribution: A Diagnostic Approach
Author Name :
EHTESHAM HUSSAIN, MUHAMMAD AHSANUDDIN, MASOOD UL HAQ
Publisher :
Bridge Center
Article URL :
Abstract :
The Gini index is commonly used in the analysis of income distribution, and it is determined that the Gamma distribution, in many situations fits family income better than the other statistical distribution. However, Gini index in the Gamma distribution has its complex form, and its exact sampling distribution is hard to obtain. An alternative to this problem is Bootstrap method which makes enormous use of the computer’s ability to get to the solution. In this piece of research, the sampling properties of Gini index in Gamma distribution are investigated. The study utilizes simple random sampling (SRS) with replacement. The sample sizes used were n = 5, 10, 20 and 200, and all the simulations were based on 500 replicates. Consistent estimates were acquired with negligible error of ? and was found that ? is slightly biased for smaller size samples but it decreases as the sample size increases.
Keywords :
Bootstrap, Gamma distribution, Gini index, Simple random sampling

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