Accession Number : ADA018173

Title :   Estimation of Asymptotic Pareto Laws and the Tail of a Distribution.

Descriptive Note : Technical rept.,

Corporate Author : STATE UNIV OF NEW YORK AT BUFFALO AMHERST STATISTICAL SCIENCE DIV

Personal Author(s) : Koutrouvelis,Ioannis Andreou

Report Date : AUG 1975

Pagination or Media Count : 143

Abstract : Stable and Pareto distributions provide good models, explaining various economic and other empirical variables. This research attempts to summarize and compare the existing methods for the parameter estimation of stable distributions and develop a new method of parameter estimation for the upper tail of Pareto distributions. Particular emphasis will be placed on the method of estimation which utilizes only the portion of the data consisting of sample values greater than a specified number. Quantile functions and associated theory is used to achieve the new method of probability estimation. A limited simulation study describing the properties and comparing these estimators with other well known estimators is undertaken.

Descriptors :   *Economic analysis, *Statistical distributions, Estimates, Distribution theory, Economic models, Normal density functions, Probability density functions, Theorems, Theses

Subject Categories : Economics and Cost Analysis
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE