Based on the work of Constantine, Waal, Shah, Khatri, and Muirhead, we have made furtherstudies on the expected values of zonal polynomials and elementary symmetric functions of a Wishartmatrix in this paper. Under ce...Based on the work of Constantine, Waal, Shah, Khatri, and Muirhead, we have made furtherstudies on the expected values of zonal polynomials and elementary symmetric functions of a Wishartmatrix in this paper. Under certain conditions, we found the expected values of zonal polynomialsand elementary symmetric functions of matrix X'X, where the matrix X has matrix ellipticallycontoured distribution and obtain two interesting results. Three examples are given.展开更多
文摘Based on the work of Constantine, Waal, Shah, Khatri, and Muirhead, we have made furtherstudies on the expected values of zonal polynomials and elementary symmetric functions of a Wishartmatrix in this paper. Under certain conditions, we found the expected values of zonal polynomialsand elementary symmetric functions of matrix X'X, where the matrix X has matrix ellipticallycontoured distribution and obtain two interesting results. Three examples are given.
