Accession Number : AD0783505

Title :   On Bounding Moments from Group Data.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS DEPT OF STATISTICS

Personal Author(s) : Gastwirth,Joseph L. ; Krieger,Abba M.

Report Date : MAR 1974

Pagination or Media Count : 21

Abstract : In the course of a study of income inequality one of the authors obtained bounds on the mean difference of a distribution from data grouped in intervals where the mean of each group is given. The present paper generalizes these results and derives upper and lower bounds to moments of the form the integral of h(x)dF(x) where h(x) is convex and F(x) is concave. This last assumption is useful in studying income data since the density function underlying the income distribution decreases in the upper tail.

Descriptors :   *Economic models, *Analysis of variance, Probability density functions, Convex sets, Curve fitting, Theorems

Subject Categories : Economics and Cost Analysis
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE