LANGUAGEAlgol 60 DESCRIPTION AND PURPOSE The distribution function of a von Mises random variable Z on the circle with mean direction 1-1-0 and concentration parameter K (~O) is (Mardia, 1972) The procedure evaluates this function when 1-1-0 = 0.The domain of definition of G is extended to the whole real line by integrating around the circle again and again, so that G«(J+217)-G«(J) = 1, -00< (J < 00.When 1-1-0=1= 0, the von Mises distribution function can be obtained from a knowledge of the function G«(J; 0, K) by means of the equation G«(J; 1-1-0' K) = G((J -1-1-0; 0, K) -G( -1-1-0,0, K).Similarly, the von Mises integral over any interval on the circle «(Jl' (J2)'°~( Jl~(J2~217, is given by

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