This may be established heuristically in terms of negative binomial distribution functions, since the two terms on the left side are probabilities of complementary events. Equation (3) is also easily established by induction on n and m, as follows: for n = m = 1, eq. (3) reduces to p + q = 1. Assume (3) holds for m fixed and n = k. We must show that k /m+u- 1 m1k/+
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H. Leon Harter (1970) studied this question.
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