caa a22 4500 475826612 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1004182030590 doi (NATIONALLICENCE)springer-10.1023/A:1004182030590 Sooner and Later Waiting Time Problems Based on a Dependent Sequence [Elektronische Daten] [Qing Han, Sigeo Aki] This paper introduces a new concept: a binary sequence of order (k,r), which is an extension of a binary sequence of order k and a Markov dependent sequence. The probability functions of the sooner and later waiting time random variables are derived in the binary sequence of order (k,r). The probability generating functions of the sooner and later waiting time distributions are also obtained. Extensions of these results to binary sequence of order (g,h) are also presented. The Institute of Statistical Mathematics, 2000 Binary sequence of order ( k , r ) nationallicence binary sequence of order k nationallicence sooner and later waiting time problems nationallicence probability function nationallicence probability generating function nationallicence Han Qing Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, 560-8531, Osaka, Japan aut Aki Sigeo Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, 560-8531, Osaka, Japan aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/3(2000-09-01), 407-414 0020-3157 52:3<407 2000 52 10463 https://doi.org/10.1023/A:1004182030590 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004182030590 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Han Qing Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, 560-8531, Osaka, Japan aut NATIONALLICENCE 700 1- Aki Sigeo Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, 560-8531, Osaka, Japan aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/3(2000-09-01), 407-414 0020-3157 52:3<407 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer