Wigner surmiseThe Wigner semicircle distribution is the limit of the Kesten–McKay distributions, as the parameter d tends to infinity.In number-theoretic literature, the Wigner distribution is sometimes called the Sato–Tate distribution. See Sato–Tate conjecture.Marchenko–Pastur distribution or Free Poisson distribution. OverviewThe Wigner semicircle distribution, named after the physicist, is the defined on the domain [−R, R] whose f is a scaled, i.e. a semi-ellipse, cen. Because of symmetry, all of the odd-order of the Wigner distribution are zero. For positive integers n, the 2n-th moment of this distribution is In the typical special case that R = 2, this sequence c. The of the Wigner distribution can be determined from that of the beta-variate Y: where 1F1 is the and J1 is the.
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