"standard normal random variable" meaning in English

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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "2000, George E. Monahan, Management Decision Making: Spreadsheet modeling, analysis, and applications, volume 1, Cambridge University Press, page 405",
          "text": "Suppose X#x5C;simN(#x5C;mu,#x5C;sigma). Then\nZ#x3D;#x5C;frac#x7B;x-#x5C;mu#x7D;#x7B;#x5C;sigma#x7D;\nis 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.",
          "type": "quotation"
        },
        {
          "ref": "2010, Todd C. Headrick, Statistical Simulation: Power Method Polynomials and Other Transformations, Taylor & Francis (CRC Press), page 1",
          "text": "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.",
          "type": "quotation"
        },
        {
          "text": "2016, Maria Dolores Ugarte, Ana F. Militino, Alan T. Arnholt, Probability and Statistics with R, 2nd Edition, Taylor & Francis (CRC Press), page 297,\nA normal random variable with μ = 0 and σ = 1, often denoted Z, is called a standard normal random variable. […] Further, any normal random variable can be converted to a standard normal random variable using (4.25)."
        }
      ],
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        "A random variable whose probability distribution is a standard normal distribution."
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        "(probability theory, statistics) A random variable whose probability distribution is a standard normal distribution."
      ],
      "related": [
        {
          "word": "standard normal deviate"
        }
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          "word": "standard normal variable"
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        "standard normal random variable"
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  "word": "standard normal random variable"
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      "word": "standard normal deviate"
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          "ref": "2000, George E. Monahan, Management Decision Making: Spreadsheet modeling, analysis, and applications, volume 1, Cambridge University Press, page 405",
          "text": "Suppose X#x5C;simN(#x5C;mu,#x5C;sigma). Then\nZ#x3D;#x5C;frac#x7B;x-#x5C;mu#x7D;#x7B;#x5C;sigma#x7D;\nis 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.",
          "type": "quotation"
        },
        {
          "ref": "2010, Todd C. Headrick, Statistical Simulation: Power Method Polynomials and Other Transformations, Taylor & Francis (CRC Press), page 1",
          "text": "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.",
          "type": "quotation"
        },
        {
          "text": "2016, Maria Dolores Ugarte, Ana F. Militino, Alan T. Arnholt, Probability and Statistics with R, 2nd Edition, Taylor & Francis (CRC Press), page 297,\nA normal random variable with μ = 0 and σ = 1, often denoted Z, is called a standard normal random variable. […] Further, any normal random variable can be converted to a standard normal random variable using (4.25)."
        }
      ],
      "glosses": [
        "A random variable whose probability distribution is a standard normal distribution."
      ],
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          "standard normal distribution",
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      "raw_glosses": [
        "(probability theory, statistics) A random variable whose probability distribution is a standard normal distribution."
      ],
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      "word": "standard normal variable"
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  "word": "standard normal random variable"
}