standard normal random variable

Noun

standard normal random variable (plural standard normal random variables)

1. A random variable whose probability distribution is a standard normal distribution.
   • Suppose X#92;simN(#92;mu,#92;sigma). Then
     Z#61;#92;frac#123;x-#92;mu#125;#123;#92;sigma#125;
     is a standard normal random variable. In other words, any normal random variable can be standardized by subtracting the mean from the variable and dividing the difference by the standard deviation.2000, George E. Monahan, Management Decision Making: Spreadsheet modeling, analysis, and applications, volume 1, Cambridge University Press, page 405
   • This technique is based on a polynomial transformation that proceeds by taking the sum of a linear combination of a standard normal random variable, its square, and its cube.2010, Todd C. Headrick, Statistical Simulation: Power Method Polynomials and Other Transformations, Taylor & Francis (CRC Press), page 1

   Synonyms:

   standard normal variable