A Characterization of Symmetric Isofactorial Models |
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Authors: | A Subramanyam and H S Pandalai |
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Institution: | (1) Department of Mathematics, Indian Institute of Technology (Bombay), Powai, Mumbai, 40076, India;(2) Department of Earth Sciences, Indian Institute of Technology (Bombay), Powai, Mumbai, 400076, India |
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Abstract: | The paper examines symmetric isofactorial models. A necessary and sufficient condition for a bivariate stationary random function to be isofactorial is given. Using this characterization, a procedure for checking whether an isofactorial model is appropriate is outlined. If data indicates that an isofactorial model is adequate, the procedure also provides a method for identifying the factors of the model. The paper concentrates on the case where Z(x) takes values 0, 1, 2,..., N and the general case is discussed briefly. |
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Keywords: | orthogonal basis factors simultaneous diagonalizability |
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