Some Research Problems in Reliability Theory and in Limit Theory.

Abstract

This report describes 3 papers. In paper 1, functional Erdoes-Renyi type laws were established. In a revised version, the importance of establishing the compactness condition in the large deviation principle is emphasized for such laws. In addition, some large deviation results are obtained in situations where the compactness condition does not hold. In paper 2, how the dispersiveness of the mixing distribution carries over to the mixed model is qualified in terms of generalized convex functions. A sign change result is given which can be used as a diagnostic to determine if you've gone far enough when fitting a mixed model. In paper 3, a strategy is given for analyzing mixtures of exponential distributions. The strategy is primarily based on graphical procedures. Keywords: Reliability Theory; Limit Theory; Distributions; Exponential Distributions; Erdos Renyi Type Laws.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA176439

Entities

People

  • James Lynch

Organizations

  • University of South Carolina

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Fields of Study

  • Mathematics

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  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.