On the distribution of a distance function on the sphere
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The distribution of the square of the distance between a random point and a fixed point on ap-dimensional unit sphere when (i) the two points lie on the whole sphere and (ii) the two points lie in the positive quadrant, has been derived, assuming that the random point is distributed proportionally to exp (ky1), wherek is a concentration parameter. Then-th order moment in both cases is also obtained.
KeywordsDistance Function Unit Sphere Random Point Order Moment Concentration Parameter
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