کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599184 1631122 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Mardia skewness and kurtosis of Soules basis matrices in ROM simulation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On Mardia skewness and kurtosis of Soules basis matrices in ROM simulation
چکیده انگلیسی

Relying on an interesting connection between generalized Helmert–Ledermann matrices and Soules basis matrices, as well as a complete binary tree classification of the latter, a recursive determination of the Mardia skewness and kurtosis coefficients of Soules basis matrices is proposed. It is based on a convenient combinatorial representation of Soules basis matrices by restricted binary partitions of a natural number into two ordered summands with recursive repetition of this binary partitioning on the summands. The obtained simple composition and invariance formulas enable the recursive calculation of these skewness and kurtosis coefficients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 473, 15 May 2015, Pages 284–296
نویسندگان
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