On Bounding Moments From Grouped Data for Unimodal Density Functions.
Abstract
This paper extends the work done in another paper. In that paper the author derived bounds for the integral h(x)dF(x) where h(x) is any convex function, the distribution function is concave and its values at several points are known, and the group means are given as well. A description is given of the two distribution functions which bound the integral h(x)dF(x). These distributions are then used in obtaining bounds on the variance and Gini index for two examples. The number of groups in these examples is then changed in order to gain some feeling for the effect of the number of groups on the bounds. These results are extended in this paper to the case where the underlying density function is unimodal rather than decreasing. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1974
- Accession Number
- AD0784388
Entities
People
- Abba M. Krieger
Organizations
- Harvard University