Minification Processes

Abstract

It is shown that the autoregressive, Markovian minification processes introduced by Tavares and Sim can be extended to marginal distributions other than the exponential and Weibull distributions. Necessary ans sufficient conditions on the hazard rate of the marginal distributions are given for a minification process to exist. Results are given for the derivation of the autocorrelation function; these correct the expression for the Weibull given by Sim. Monotonic transformations of the minification processes are also discussed and generate a whole new class of autoregressive processes with fixed marginal distributions. Processes generated by a maximum operation are also introduced and a comparison of three different Markovian processes with uniform marginal distributions are given. Keywords: Time series, Distribution functions, Biovariate distributions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA202219

Entities

People

  • Ed Mckenzie
  • Peter A. Lewis

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Availability
  • Classification
  • Data Science
  • Distribution Functions
  • Information Science
  • Markov Processes
  • Military Research
  • Operations Research
  • Probability
  • Random Variables
  • Schools
  • Security
  • Sequences
  • Statistical Analysis
  • Statistics
  • Universities
  • Wind Velocity

Fields of Study

  • Mathematics

Readers

  • Statistical inference.