Generalization of a statistical matrix and its factorization

Ilker Akkus and Gonca Kizilaslan

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 4, 963-978

Abstract: We consider a special matrix with q−integer coefficients and obtain an LU factorization for its member by giving explicit closed-form formulae of the entries of L and U. Our result is applied to give the closed-form formula of the inverse of the considered matrix. We give the relation between the defined matrix and Helmert matrix which has been used for proving the statistical independence of a number of statistics. Also we find the condition numbers of some matrices for some special values of q.

Date: 2021
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DOI: 10.1080/03610926.2019.1645854

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