caa a22 4500 477062873 CHVBK 20180405111405.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00050854 doi (NATIONALLICENCE)springer-10.1007/BF00050854 Derivation of the probability distribution functions for succession quota random variables [Elektronische Daten] [Demetrios Antzoulakos, Andreas Philippou] 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. Kluwer Academic Publishers, 1996 Succession quota nationallicence sooner and later problems nationallicence Bernoulli trials nationallicence binary sequence of order k nationallicence probability distribution function nationallicence probability generating function nationallicence longest run nationallicence Antzoulakos Demetrios Department of Economics, University of Crete, 74100, Perivolia-Rethimno, Greece aut Philippou Andreas Department of Mathematics, University of Patras, 26110, Patras, Greece aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 551-561 0020-3157 48:3<551 1996 48 10463 https://doi.org/10.1007/BF00050854 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00050854 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Antzoulakos Demetrios Department of Economics, University of Crete, 74100, Perivolia-Rethimno, Greece aut NATIONALLICENCE 700 1- Philippou Andreas Department of Mathematics, University of Patras, 26110, Patras, Greece aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 551-561 0020-3157 48:3<551 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer