✦ LIBER ✦
Formulae and recursions for the joint distributions of success runs of several lengths in a two-state Markov chain
✍ Scribed by Qing Han; Sigeo Aki
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 530 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we obtain exact and recurrence formulae for the probability functions and the probability generating functions of Y, based on four different ways of counting numbers of success runs (i.e. overlapping success runs, non-overlapping runs, the runs with a specified length k or more and the runs with just specified length k). Using our methods, we can obtain the probability function and probability generating function of Y, where Y~,..., Y,. be counted numbers by different ways. (~