(1) Department of Economics, University of Crete, 74100 Perivolia-Rethimno, Greece;(2) Department of Mathematics, University of Patras, 26110 Patras, Greece
Abstract:
The probability distribution functions (pdf's) of the sooner and later waiting time random variables (rv's) for the succession quota problem (k successes and r failures) are derived presently in the case of a binary sequence of order k. The probability generating functions (pgf's) of the above rv's are then obtained directly from their pdf's. In the case of independent Bernoulli trials, expressions for the pdf's in terms of binomial coefficients are also established.