Notation in Probability and Statistics - Statistics

Statistics

  • Greek letters (e.g. θ, β) are commonly used to denote unknown parameters (population parameters).
  • An estimate of a parameter is often denoted by placing a caret over the corresponding symbol, e.g., pronounced "theta hat".
  • Some commonly used symbols for sample statistics are given below:
    • the sample mean ,
    • the sample variance s2,
    • the sample correlation coefficient r,
    • the sample cumulants kr.
  • Some commonly used symbols for population parameters are given below:
    • the population mean μ,
    • the population variance σ2,
    • the population correlation ρ,
    • the population cumulants κr.
  • The arithmetic mean of a set of numbers x1, x2, ..., xn is denoted by, pronounced "x bar".

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    —Andrew Lang (1844–1912)

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    —Günther Grass (b. 1927)

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