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| Content Provider | Springer Nature Link |
|---|---|
| Author | Bhattacharya, Samir K. Chaturvedi, Aop Singh, Nand Kishore |
| Copyright Year | 1999 |
| Abstract | The Bayes estimators of the Gini index, the mean income and the proportion of the population living below a prescribed income level are obtained in this paper on the basis of censored income data from a pareto income distribution. The said estimators are obtained under the assumptions of a two-parameter exponential prior distribution and the usual squared error loss function. This work is also extended to the case when the income data are grouped and the exact incomes for the individuals in the population are not available. The method for the assessment of the hyperparameters is also outlined. Finally, the results are generalized for the doubly truncated gamma prior distribution. |
| Starting Page | 247 |
| Ending Page | 262 |
| Page Count | 16 |
| File Format | |
| ISSN | 09325026 |
| Journal | Statistical Papers |
| Volume Number | 40 |
| Issue Number | 3 |
| e-ISSN | 16139798 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 1999-01-01 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Bayes estimator Bayesian posterior density (BPD) Doubly Truncated Gamma prior distribution Gini Index (GI) Hyperparameter assessment Likelihood function (LF) Pareto income distribution (PID) Poverty Line (PL) Squared error loss function (SELF) Statistics for Business/Economics/Mathematical Finance/Insurance Probability Theory and Stochastic Processes Economic Theory Operations Research/Decision Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
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