An efficient simulation algorithm for the generalized von Mises distribution of order two

In this article we propose an exact efficient simulation algorithm for the generalized von Mises circular distribution of order two. It is an acceptance-rejection algorithm with a piecewise linear envelope based on the local extrema and the inflexion points of the generalized von Mises density of order two. We show that these points can be obtained from the roots of polynomials and degrees four and eight, which can be easily obtained by the methods of Ferrari and Weierstrass. A comparative study with the von Neumann acceptance-rejection, with the ratio-of-uniforms and with a Markov chain Monte Carlo algorithms shows that this new method is generally the most efficient.

One hundredth anniversary of the consecration of the Rt. Rev. Edward Bass, D. D., as the first Bishop of Massachusetts, May 7, 1797-May 7, 1897.

Cover title: Centennial celebration of the consecration of the Rt. Rev. Edward Bass, D. D., as the first Bishop of Massachussetts, 1897-1897.

Lincoln episcopal records in the time of Thomas Cooper ... bishop of Lincoln, A.D. 1571 to A.D. 1584,

Published also, 1912, as v. 2 of the Publications of the Lincoln record society.

The gospels in art; the life of Christ by great painters from Fra Angelico to Holman Hunt, the text by Léonce Bénédite, Henry Van Dyke, R. F. Horton and the Bishop of Derry & Raphoe;

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