Orthogonal Arrays with Variable Numbers of Symbols
نویسندگان
چکیده
منابع مشابه
Generalized Stirling numbers, exponential Riordan arrays and orthogonal polynomials
We define a generalization of the Stirling numbers of the second kind, which depends on two parameters. The matrices of integers that result are exponential Riordan arrays. We explore links to orthogonal polynomials by studying the production matrices of these Riordan arrays. Generalized Bell numbers are also defined, again depending on two parameters, and we determine the Hankel transform of t...
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Definition Orthogonal arrays (OAs) are objects that are most often generated via algebraic arguments. They have a number of applications in applied mathematics, and have often been studied by algebraic mathematicians as objects of interest in their own right. Our treatment will reflect their use as representations of statistical experimental designs. An OA is generally presented as a two-dimens...
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(say) is called symmetric, otherwise, the array is said to be asymmetric. Several methods of construction of symmetric as well as asymmetric OAs are available in the literature. Some important methods will be discussed here. One of the principal applications of the OAs is in the selection of level combinations for fractional factorial experiments. An OA of strength t is equivalent to an orthogo...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1980
ISSN: 0090-5364
DOI: 10.1214/aos/1176344964