The number of two consecutive successes in a Hoppe-Pólya urn

• In a sequence of independent Bernoulli trials the probability of success in the kth 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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Nyckelord

Bernoulli trial

Binomial moment

Hoppe urn

Overlapping indicators

Pólya urn

Random permutation

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