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Generalization of a statistical matrix and its factorization

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Abstract We consider a special matrix with integer coefficients and obtain an LU factorization for its member by giving explicit closed-form formulae of the entries of L and U. Our… Click to show full abstract

Abstract We consider a special matrix with 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.

Keywords: generalization statistical; matrix factorization; statistical matrix; matrix

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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