An Approach to Computations Involving Spacings with Applications to the Scan Statistic

doi:10.1007/978-1-4612-1578-3_6

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 專書之單篇 > Item 987654321/41704

請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41704

題名:	An Approach to Computations Involving Spacings with Applications to the Scan Statistic
作者:	Huffer, Fred W.;Lin, Chien-tai
貢獻者:	淡江大學數學學系
關鍵詞:	Uniform distribution;Number of clumps;Order statistics;m-spacings;Syblolic computation
日期:	1999
上傳時間:	2010-01-28
出版者:	Boston: Birkhäuser
摘要:	Consider the order statistics fromNi.i.d. random variables uniformly distributed on the interval (0,1]. We present a general method for computing probabilities involving differences of the order statistics or linear combinations of the spacings between the order statistics. This method is based on repeated use of a basic recursion to break up the joint distribution of linear combinations of spacings into simpler components which are easily evaluated. LetS w denote the (continuous conditional) scan statistic with window length w. Let Cwdenote the number of m: w clumps among theNrandom points, where an m: w clump is defined as m points falling within an interval of length w. We apply our general method to compute the distribution ofS w (for smallN)and the lower-order moments of Cw. The final answers produced by our approach are piecewise polynomials (in w) whose coefficients are computed exactly. These expressions can be stored and later used to rapidly compute numerical answers which are accurate to any required degree of precision.
關聯:	Scan Statistics and Applications, pp.141-163
DOI:	10.1007/978-1-4612-1578-3_6
顯示於類別:	[數學學系暨研究所] 專書之單篇

文件中的檔案:

檔案	大小	格式	瀏覽次數
index.html	0Kb	HTML	388	檢視/開啟
index.html	0Kb	HTML	167	檢視/開啟
index.html	0Kb	HTML	192	檢視/開啟

在機構典藏中所有的資料項目都受到原著作權保護.

TAIR相關文章

資料載入中.....