Accession Number:

ADA170059

Title:

Almost Sure L(1)-Norm Convergence for Data-Based Histogram Density Estimates.

Descriptive Note:

Technical rept.,

Corporate Author:

PITTSBURGH UNIV PA CENTER FOR MULTIVARIATE ANALYSIS

Personal Author(s):

Report Date:

1986-03-01

Pagination or Media Count:

17.0

Abstract:

The main result of this paper is summarized in Theorem 1, which states that when certain conditions of a general nature are satisfied, the data-based histogram density estimator is strongly consistent in the sense that the mean absolute deviation of the estimator and the density function converges to zero almost surely for any density function, as the sample size increases to infinity. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE