| Title:
|
On the asymptotic optimum allocation in estimating inequality from complete data (English) |
| Author:
|
Gil, María Angeles |
| Author:
|
Martínez, Ignacio |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
325-332 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62D05 |
| MSC:
|
62P20 |
| MSC:
|
91B82 |
| idZBL:
|
Zbl 0771.62083 |
| idMR:
|
MR1183623 |
| . |
| Date available:
|
2009-09-24T18:33:14Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124807 |
| . |
| Reference:
|
[1] A. B. Atkinson: On the measurement of inequality.J. Econom. Theory 2 (1970), 131-143. MR 0449508 |
| Reference:
|
[2] P. Bickel, K. A. Doksum: Mathematical Statistics.Holden-Day, Inc., Oakland 1977. Zbl 0403.62001, MR 0443141 |
| Reference:
|
[3] Y. M. M. Bishop S. E. Fienberg, P.W. Holland: Discrete Multivariate Analysis: Theory and Practice.MIT Press, Cambridge 1975. MR 0381130 |
| Reference:
|
[4] F. Bourguignon: Decomposable income inequality measures.Econometrica 47 (1979), 901-920. Zbl 0424.90013, MR 0537636 |
| Reference:
|
[5] C. Caso, M.A. Gil: Estimating income inequality in the stratified sampling from complete data; Part 1: The unbiased estimation and applications.Kybernetika 25 (1989), 298-311. MR 1015034 |
| Reference:
|
[6] C. Caso, M.A. Gil: Estimating income inequality in the stratified sampling from complete data; Part 2: The asymptotic behaviour and the choice of sample size.Kybernetika 25 (1989), 312-319. MR 1015035 |
| Reference:
|
[7] F. A. Cowell: On the structure of additive inequality measures.Rev.of Econom.Stud. 47 (1980), 521-531. Zbl 0437.90035 |
| Reference:
|
[8] F. A. Cowell, K. Kuga: Additivity and the entropy concept.An axiomatic approach to inequality measurement. J. Econom. Theory 25 (1981), 131-143. Zbl 0487.90039, MR 0636017 |
| Reference:
|
[9] W. Eichhorn, W. Gehrig: Measurement of inequality in economics.In: Modern Applied Mathematics - Optimization and Operations Research (B. Korte, ed.), North-Holland, Amsterdam 1982. Zbl 0491.90024 |
| Reference:
|
[10] M.A. Gil: A note on the stratification and gain in precision in estimating diversity from large samples.Commun. Statist. - Theory and Methods 18 (1989), 1521-1526. MR 1010120 |
| Reference:
|
[11] M. A. Gil C. Caso, P. Gil: Estudio asintotico de una clase de indices de desigualdad muestrales.Trab. de Est. 4 (1989), 95-109. |
| Reference:
|
[12] M.A. Gil R. Perez, P. Gil: A family of measures of uncertainty involving utilities: definitions, properties, applications and statistical inferences.Metrika 36 (1989), 129-147. MR 1024002 |
| Reference:
|
[13] I. Horowitz: Employment concentration in the common market: an entropy approach.J. Roy. Statist. Soc Ser. A 133 (1970), 463-679. |
| Reference:
|
[14] C. R. Rao: Linear Statistical Inference and its Applications.Wiley, New York 1973. Zbl 0256.62002, MR 0346957 |
| Reference:
|
[15] A.F. Shorrocks: The class of additively decomposable inequality measures.Econometrica 48 (1980), 613-625. Zbl 0435.90040, MR 0573315 |
| Reference:
|
[16] H. Theil: Economics and Information Theory.North-Holand, Amsterdam 1967. |
| Reference:
|
[17] D. Zagier: On the decomposability of the Gini coefficient and other indices of inequality.Discussion paper No. 108. Projektgruppe Theoretische Modelle. Universität Bonn, 1983. |
| Reference:
|
[18] J. Zvárová: On asymptotic behaviour of a sample estimator of Rényi's information of order $\alpha$.In: Trans. 6th Prague Conf. on Inf. Theory, Stat. Dec. Func, Rand. Proc, Academia Prague 1973, pp. 919-924. Zbl 0299.94017, MR 0365800 |
| . |
