Signal and Noise Models Arising from the Theory of Errors.

Abstract

Series constructions of stable random processes and invariance principles: Dr. LePage has developed series constructions of stable processes (and more generally operator stable processes) now generally known as the LePage Representation. This construction is a widely used tool in the study of stable processes and has been used to obtain new results ranging from pith properties (M. Marcus, G. Pisier), -extrema of stable processes (G. Samorodnitsky), Bootstrap (K. Knight), stable measures of balls (M. Lewandowski, ) and a host of other applications (Ledoux, Tallagrand). Recently Dr. LePage generalized and simplified the series construction of stable processes by proving that it follows from the method of marking of a Poisson process.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1990
Accession Number
ADA254985

Entities

People

  • Raoul Lepage
  • V. Mandrekar

Organizations

  • Michigan State University

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Computer Science
  • Construction
  • Data Science
  • Distribution Theory
  • Experimental Design
  • Gaussian Processes
  • Information Science
  • Network Science
  • Probability
  • Random Variables
  • Stationary Processes
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Theorems
  • Time Domain

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Linear Algebra
  • Mathematical Modeling and Probability Theory.