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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Famous quotes containing the word statistics:

    “and Olaf, too

    preponderatingly because
    unless statistics lie he was
    more brave than me: more blond than you.”
    —E.E. (Edward Estlin)

    “O for a man who is a man, and, as my neighbor says, has a bone in his back which you cannot pass your hand through! Our statistics are at fault: the population has been returned too large. How many men are there to a square thousand miles in this country? Hardly one.”
    —Henry David Thoreau (1817–1862)

    “We ask for no statistics of the killed,
    For nothing political impinges on
    This single casualty, or all those gone,
    Missing or healing, sinking or dispersed,
    Hundreds of thousands counted, millions lost.”
    —Karl Shapiro (b. 1913)