A two-stage algorithm for computation of the exact distribution of sums of spacings

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Title:	A two-stage algorithm for computation of the exact distribution of sums of spacings
Authors:	Lin, Chien-Tai;Lu, Chung-Tao
Keywords:	Circular Scan Statistic;Multiple Coverage Problems;Symbolic Computation
Date:	2017-06-02
Issue Date:	2017-01-06 02:10:21 (UTC+8)
Abstract:	Based on the recursions in Huffer and Huffer and Lin, we present a two-stage algorithm and two specialized methods for evaluating the probabilities involving linear combination of spacings of special forms. The two-stage algorithm combines the advantages of marking algorithm in Huffer and Lin and general algorithm in Huffer and Lin. The proposed methods can analytically derive the exact expressions for some specific problems, and efficiently handle problems such as the distribution of the circular scan statistic and multiple coverage probabilities.
Relation:	Communications in Statistics: Simulation and Computation 46(10), p.8205-8217
DOI:	10.1080/03610918.2016.1271891
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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