Range (statistics) - Independent Identically Distributed Continuous Random Variables

Independent Identically Distributed Continuous Random Variables

For n independent and identically distributed continuous random variables X1, X2, ..., Xn with cumulative distribution function G(x) and probability density function g(x) the range of the Xi is the range of a sample of size n from a population with distribution function G(x).

Read more about this topic:  Range (statistics)

Famous quotes containing the words independent, identically, distributed, continuous, random and/or variables:

    Milton’s the prince of poets—so we say;
    A little heavy, but no less divine:
    An independent being in his day—
    George Gordon Noel Byron (1788–1824)

    they were placed in a box
    and painted identically blue
    and thus passed their days
    living happily ever after
    a kind of coffin,
    a kind of blue funk.
    Anne Sexton (1928–1974)

    Indiana was really, I suppose, a Democratic State. It has always been put down in the book as a state that might be carried by a close and careful and perfect organization and a great deal of—[from audience: “soap”Ma reference to purchased votes, the word being followed by laughter].
    I see reporters here, and therefore I will simply say that everybody showed a great deal of interest in the occasion, and distributed tracts and political documents all through the country.
    Chester A. Arthur (1829–1886)

    We read poetry because the poets, like ourselves, have been haunted by the inescapable tyranny of time and death; have suffered the pain of loss, and the more wearing, continuous pain of frustration and failure; and have had moods of unlooked-for release and peace. They have known and watched in themselves and others.
    Elizabeth Drew (1887–1965)

    Novels as dull as dishwater, with the grease of random sentiments floating on top.
    Italo Calvino (1923–1985)

    Science is feasible when the variables are few and can be enumerated; when their combinations are distinct and clear. We are tending toward the condition of science and aspiring to do it. The artist works out his own formulas; the interest of science lies in the art of making science.
    Paul Valéry (1871–1945)