The Number of Two Consecutive Successes in a Hoppe-pólya Urn
نویسنده
چکیده
In a sequence of independent Bernoulli trials the probability of success in the k:th trial is pk = a/(a+b+k−1). An explicit formula for the binomial moments of the number of two consecutive successes in the first n trials is obtained and some consequences of it are derived.
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