Statistics of a Chi-Square Random Variable Obtained from Independent Gaussian Samples with a Non-Zero Mean and Arbitrary Variance

Abstract

The mean and variance of a chi-square random variable are generally given for the case in which the chi-square random variable is derived from a process having a zero mean and unit variance. In this report, the mean and variance of the random variable found by squaring and summing N samples of an independent Gaussian process with a non-zero mean and arbitrary variance is derived.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA214477

Entities

People

  • Richard K. Brienzo

Organizations

  • Scripps Institution of Oceanography

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Classification
  • Computing-Related Activities
  • Data Science
  • Detectors
  • Gaussian Noise
  • Gaussian Processes
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Military Research
  • Oceanography
  • Random Variables
  • Security
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.