• DocumentCode
    887961
  • Title

    On the ratio of two random variables

  • Author

    Zeger, A.E.

  • Volume
    55
  • Issue
    2
  • fYear
    1967
  • Firstpage
    247
  • Lastpage
    248
  • Abstract
    The probability P(k) that two non-negative random variables X and Y are within K ≡ 20 log10k dB of each other is investigated. When the joint probability density function is symmetric in X and Y, then P(k) = 2FZ(k) - 1, where FZis the cumulative distribution function of the ratio Z ≡ (X/Y). Finally, P(k) is evaluated for the case in which X and Y are correlated Rayleigh variates.
  • Keywords
    Admittance; Circuits; Frequency; Inspection; Optimized production technology; Probability density function; Random variables; Resistors; Turning; Voltage-controlled oscillators;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1967.5471
  • Filename
    1447401