• DocumentCode
    870797
  • Title

    Approximations to inverse error functions

  • Author

    Dyer, Justin S. ; Dyer, Stephen A.

  • Volume
    11
  • Issue
    5
  • fYear
    2008
  • fDate
    10/1/2008 12:00:00 AM
  • Firstpage
    32
  • Lastpage
    36
  • Abstract
    We have presented four approximations to the inverse cumulative distribution function of a standard normal random variable. The first two were meant purely as a tool to motivate the other approximations, although either could be useful when extreme accuracy is not required and one doesn\´t venture too far into the tails of the distribution. There are many other such "simple" approximations to FX -1, suitable for use on a hand calculator.
  • Keywords
    approximation theory; inverse problems; statistical distributions; approximations; inverse cumulative distribution function; inverse error functions; standard normal random variable; Chebyshev approximation; Closed-form solution; Distribution functions; Instruments; Probability density function; Random variables; Statistical analysis; Statistics; Testing;
  • fLanguage
    English
  • Journal_Title
    Instrumentation & Measurement Magazine, IEEE
  • Publisher
    ieee
  • ISSN
    1094-6969
  • Type

    jour

  • DOI
    10.1109/MIM.2008.4630740
  • Filename
    4630740