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In this paper, a class of multivariate skew distributions has been explored. Then its properties are derived. The relationship between the multivariate skew normal and the Wishart distribution is also studied.
This paper is concerned with the problem of computing approximate D-optimal design for polynomial regression with analytic weight function on a interval [m0-a, mo+ a]. It is shown that the structure of the optimal design depends on a and weight function. Moreover, the optimal support points and weights are analytic functions of a at a = 0. We make use of a… (More)