Characterizing Coxian Distributions of Algebraic Degree q and Triangular Order p
نویسنده
چکیده
where the numerator and denominator are coprime polynomials. Here, the coefficients are real, and the zeros of the denominator polynomial are a subset of the eigenvalues of T . The point mass at zero is α0 = 1−αe. We define the algebraic degree of the PH distribution to be the degree of the denominator polynomial, q, see O’Cinneide [9]. Typically, representations for PH distributions are not unique, and we say that any representation for a PH distribution of minimal order is a minimal representation. The order of the PH distribution itself, is defined to be the order of any of its minimal representations. The order of a PH distribution is greater than or equal to its algebraic degree, see O’Cinneide [9]. O’Cinneide [11] showed that any PH distribution whose generator T has only real eigenvalues, has an equivalent Coxian representation of some order. This order is called
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