caa a22 4500 386350523 CHVBK 20180307111827.0 cr unu---uuuuu 161130e198910 xx s 000 0 eng 10.1017/S0269964800001352 doi S0269964800001352 pii (NATIONALLICENCE)cambridge-10.1017/S0269964800001352 Brown Mar Department of MathematicsM The City College, The City University of New York New York, New York 10031 On Two Problems Involving Partial Sums [Elektronische Daten] [Mar Brown] Two problems are considered: (1) The expected waiting time for the partial sums of i.i.d. positive integer-valued random variables to be a multiple of k for the first time. For aperiodic distributions this expected value is shown to equal k. The periodic case is considered, as well as the waiting time for the partial sums to equal r modulo k. (2) For two independent sequences of partial sums of positive i.i.d. random variables, the expected value of the smallest common partial sum is derived. If both distributions are aperiodic, this expected value is the product of the two means. The periodic case is considered, as well as the case of more than two sequences. Copyright © Cambridge University Press 1989 Probability in the Engineering and Informational Sciences Cambridge University Press 3/4(1989-10), 511-516 0269-9648 3:4<511 1989 3 PES https://doi.org/10.1017/S0269964800001352 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0269964800001352 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Brown Mar Department of MathematicsM The City College, The City University of New York New York, New York 10031 NATIONALLICENCE 773 0- Probability in the Engineering and Informational Sciences Cambridge University Press 3/4(1989-10), 511-516 0269-9648 3:4<511 1989 3 PES CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge