Dimensions of spaces of homogeneous zero regression polynomials (Q1094782)
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scientific article; zbMATH DE number 4026583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dimensions of spaces of homogeneous zero regression polynomials |
scientific article; zbMATH DE number 4026583 |
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Dimensions of spaces of homogeneous zero regression polynomials (English)
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1987
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X\({}_ 1,...,X_ n\) are independent and identically distributed, each an m by m matrix with a Wishart distribution. \textit{B. Heller}, ibid. 14, 101-104 (1984; Zbl 0541.62034), found a scalar statistic, a polynomial in the elements of \((X_ 1,...,X_ n)\), which has a constant regression on \(X_ 1+X_ 2+...+X_ n\). Such polynomials of fixed degree form a finite-dimensional vector space. The present paper provides formulas for the dimension of such a vector space.
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dimensions of vector spaces of homogeneous zero regression polynomials
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characterization
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Wishart distribution
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finite-dimensional vector space
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