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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