✦ LIBER ✦

On the joint distribution of runs in a sequence of multi-state trials

✍ Scribed by Masayuki Doi; Eiji Yamamoto

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 369 KB
Volume: 39
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(98)00051-0

No coin nor oath required. For personal study only.

✦ Synopsis

The joint distribution of c kinds of success runs in a sequence of (c + 1 )-state trials is given by the finite Markov chain method proposed by Fu andKoutras (1994) andFu (1996). (~

📜 SIMILAR VOLUMES

On the length of the longest run in a mu

On the length of the longest run in a multi-state Markov chain

✍ Eutichia Vaggelatou 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 230 KB

Let {X a } a∈Z be an irreducible and aperiodic Markov chain on a ÿnite state space S = {0;

The exact distribution of overlapping co

The exact distribution of overlapping counting patterns associated with a sequence of homogeneous Markov-dependent multi-state trials: An application to secon

✍ W.Y. Wendy Lou 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 485 KB

On the distribution of runs of ones in b

On the distribution of runs of ones in binary strings

✍ Koushik Sinha; Bhabani P. Sinha 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 834 KB

statistics a b s t r a c t In this paper, we derive the number of binary strings which contain, for a given i k , exactly i k runs of 1's of length k in all possible binary strings of length n, 1 ≤ k ≤ n. Such a knowledge about the distribution pattern of runs of 1's in binary strings is useful in

Formulae and recursions for the joint di

Formulae and recursions for the joint distributions of success runs of several lengths in a two-state Markov chain

✍ Qing Han; Sigeo Aki 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 530 KB

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

A bootstrap approximation to the joint d

A bootstrap approximation to the joint distribution of sum and maximum of a stationary sequence

✍ G. Mathew; W.P. McCormick 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 113 KB

This paper establishes the asymptotic validity for the moving block bootstrap as an approximation to the joint distribution of the sum and the maximum of a stationary sequence. An application is made to statistical inference for a positive time series where an extreme value statistic and sample mean

On the joint distribution of digital sum

On the joint distribution of digital sums

✍ Jerome A. Solinas 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 606 KB