Successive normalization of rectangular arrays
نویسندگان
چکیده
منابع مشابه
SUCCESSIVE NORMALIZATION OF RECTANGULAR ARRAYS By Richard
Standard statistical techniques often require transforming data to have mean 0 and standard deviation 1. Typically, this process of “standardization” or “normalization” is applied across subjects when each subject produces a single number. High throughput genomic and financial data often come as rectangular arrays where each coordinate in one direction concerns subjects who might have different...
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In this note we illustrate and develop further with mathematics and examples, the work on successive standardization (or normalization) that is studied earlier by the same authors in [1] and [2]. Thus, we deal with successive iterations applied to rectangular arrays of numbers, where to avoid technical difficulties an array has at least three rows and at least three columns. Without loss, an it...
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Given a finite partially ordered set B, it is often of interest to describe the largest possible subsets SC B which consist of mutually incomparable elements of B. Such subsets are usually called maximum antichains or maximum Sperner families of .P after Sperner [I 51, who first characterized these maximum antichains in the case that 9 is a finite Boolean lattice, i.e., the set of all subsets o...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2010
ISSN: 0090-5364
DOI: 10.1214/09-aos743