Article
Licensed
Unlicensed
Requires Authentication
The joint distribution of the number of ones and the number of 1-runs in binary Markov sequences
-
L. Ya. Savelyev
Published/Copyright:
August 1, 2004
We describe the distributions of the number of ones, the number of runs of ones in a binary Markov sequence and their joint distribution. We find the generating functions of the distributions under consideration, calculate the means, variances and covariances. For these moments we give explicit and asymptotic formulas with estimates of accuracy. Formulas for the Gaussian approximations are also derived. We consider the corresponding operator equations. In this connection we describe a special model of random walks.
Published Online: 2004-08-01
Published in Print: 2004-08-01
Copyright 2004, Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Limit theorems for sizes of trees in the unlabelled graph of a random mapping
- The limit distribution of the number of cyclic vertices in a random mapping in a special case
- The joint distribution of the number of ones and the number of 1-runs in binary Markov sequences
- Polynomial transformations of GEO-rings of prime characteristic
- On optimal exact coverings of a graph in the class of weakly dense bases
- On a generalisation of the method of boundary functionals
- On characteristic polynomials of periodic graphs
Articles in the same Issue
- Limit theorems for sizes of trees in the unlabelled graph of a random mapping
- The limit distribution of the number of cyclic vertices in a random mapping in a special case
- The joint distribution of the number of ones and the number of 1-runs in binary Markov sequences
- Polynomial transformations of GEO-rings of prime characteristic
- On optimal exact coverings of a graph in the class of weakly dense bases
- On a generalisation of the method of boundary functionals
- On characteristic polynomials of periodic graphs
