Menu Expand

Bayes-Verfahren zur Schätzung von Einkommensverteilungen

Cite JOURNAL ARTICLE

Style

Bamberg, G. Bayes-Verfahren zur Schätzung von Einkommensverteilungen. Journal of Contextual Economics – Schmollers Jahrbuch, 96(1), 1-13. https://doi.org/10.3790/schm.96.1.1
Bamberg, Günter "Bayes-Verfahren zur Schätzung von Einkommensverteilungen" Journal of Contextual Economics – Schmollers Jahrbuch 96.1, 1976, 1-13. https://doi.org/10.3790/schm.96.1.1
Bamberg, Günter (1976): Bayes-Verfahren zur Schätzung von Einkommensverteilungen, in: Journal of Contextual Economics – Schmollers Jahrbuch, vol. 96, iss. 1, 1-13, [online] https://doi.org/10.3790/schm.96.1.1

Format

Bayes-Verfahren zur Schätzung von Einkommensverteilungen

Bamberg, Günter

Journal of Contextual Economics – Schmollers Jahrbuch, Vol. 96 (1976), Iss. 1 : pp. 1–13

Additional Information

Article Details

Bamberg, Günter

Abstract

If the income scale is divided into k income ranges, the histogram form of the income distribution is completely determined by the k corresponding proportions. In section 2 Bayes estimators for these proportions are given for several loss functions and a special prior (Dirichlet-) distribution. The main purpose of this paper is the derivation of the linear Bayes estimator of section 3 without specifying a complete prior distribution. This linear Bayes estimator only depends on the first two moments of the prior distribution. It is shown that this estimator can be represented by a weighted average of the prior expected proportion and the maximum likelihood estimator.