淡江大學機構典藏:Item 987654321/41451
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    Title: Computing the joint distribution of general linear combinations of spacings or exponential variates
    Authors: Huffer, F. W.;Lin, C. T.
    Contributors: 淡江大學數學學系
    Keywords: Kolmogorov-Smirnov statistic;moving average process;symbolic computations
    Date: 2001-10-01
    Issue Date: 2013-08-08 14:44:19 (UTC+8)
    Publisher: Taipei: Academia Sinica * Institute of Statistical Science
    Abstract: We present an algorithm for computing exact expressions for the distribution of the maximum or minimum of an arbitrary finite collection of linear combinations of spacings or exponential random variables with rational coefficients. These expressions can then be manipulated or evaluated using symbolic math packages such as Maple. As examples, we apply this algorithm to obtain the distributions of the maximum and minimum of a moving average process, and the distribution of the Kolmogorov-Smirnov statistic.
    Relation: Statistica Sinica 11(4), pp.1141-1157
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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