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:

    The ex-Presidential situation has its advantages, but with them are certain drawbacks. The correspondence is large. The meritorious demands on one are large. More independent out than in place, but still something of the bondage of the place that was willingly left. On the whole, however, I find many reasons to be content.
    Rutherford Birchard Hayes (1822–1893)

    ... two men could be just alike in all their dispositions to verbal behavior under all possible sensory stimulations, and yet the meanings or ideas expressed in their identically triggered and identically sounding utterances could diverge radically, for the two men, in a wide range of cases.
    Willard Van Orman Quine (b. 1908)

    Taking food alone tends to make one hard and coarse. Those accustomed to it must lead a Spartan life if they are not to go downhill. Hermits have observed, if for only this reason, a frugal diet. For it is only in company that eating is done justice; food must be divided and distributed if it is to be well received.
    Walter Benjamin (1892–1940)

    I read the newspapers avidly. It is my one form of continuous fiction.
    Aneurin Bevan (1897–1960)

    There is a potential 4-6 percentage point net gain for the President [George Bush] by replacing Dan Quayle on the ticket with someone of neutral stature.
    Mary Matalin, U.S. Republican political advisor, author, and James Carville b. 1946, U.S. Democratic political advisor, author. All’s Fair: Love, War, and Running for President, p. 205, Random House (1994)

    The variables are surprisingly few.... One can whip or be whipped; one can eat excrement or quaff urine; mouth and private part can be meet in this or that commerce. After which there is the gray of morning and the sour knowledge that things have remained fairly generally the same since man first met goat and woman.
    George Steiner (b. 1929)