Infinitely Divisible Processes and Their Nonlinear Functionals; A Study of their Structural, Statistical and Sample Path Properties and their Prediction Problems

Abstract

Over the period of research for this grant the accomplishments were research on: (1) Tail behavior of certain probability laws, and the behavior of Gaussian laws of translated balls. (2) Supports and densities of certain infinitely divisible (i.d.) laws and the zero-one dichotomy for certain non- linear functionals of i.d. random vectors. (3) The best linear predictors for certain i.d. processes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1993
Accession Number
ADA273468

Entities

People

  • Balram Rajput

Organizations

  • University of Tennessee

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Data Science
  • Gaussian Processes
  • Hilbert Space
  • Information Science
  • Mathematics
  • Multivariate Analysis
  • Probability
  • Random Variables
  • Statistical Tests
  • Statistics
  • Stochastic Processes
  • Structural Analysis
  • Two Dimensional
  • Vector Spaces

Readers

  • Cybersecurity.
  • Mathematical Modeling and Probability Theory.