کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1149591 957887 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
AA-dependence statistics for mutual and serial independence of categorical variables
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
AA-dependence statistics for mutual and serial independence of categorical variables
چکیده انگلیسی

The Möbius transformation of probability cells in a multi-way contingency table is used to partition the Pearson chi-square test of mutual independence into A-dependence statistics. A similar partition is proposed for a universal and consistent test of serial independence in a stationary sequence of a categorical variable. The partition proposed can be adapted whether using estimated or theoretical marginal probabilities. With the aim of detecting a dependence of high order in a long sequence, A-dependence terms of the partition measuring increasing lagged dependences can be combined in a Box–Pierce type test of serial independence. A real data analysis of a nucleotides sequence using the Box–Pierce type test is provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 139, Issue 7, 1 July 2009, Pages 2407–2419
نویسندگان
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