Journal Article10.1007/BF02614182
Some waiting time problems
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About: This article is published in Metrika. The article was published on 01 Dec 1965.
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Citations
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Advances in Distribution Theory, Order Statistics, and Inference
Narayanaswamy Balakrishnan,Enrique Francisco Castillo Ron,José María Sarabia Alegría +2 more
- 23 Oct 2007
TL;DR: The International Conference on Distribution Theory, Order Statistics, and Inference (2004) as mentioned in this paper was held at the University of Cantabria, Spain, and was the first conference dedicated to order statistics.
115
Sooner and later waiting time problems for patterns in Markov dependent trials
Qing Han,Katuomi Hirano +1 more
TL;DR: In this paper, the authors investigated the problem of finding the distribution of distances between successive occurrences of So and S 0 and S 1 and the waiting time until the rth occurrence of So in multistate Markov dependent trials.
21
On occurrence of subpattern and method of gambling teams
TL;DR: In this paper, the expected value and generating function of the number of overlapping occurrences of a pattern P in a Markov chain until the first occurrence of a member from a finite collection of patterns that start with P is obtained.
Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent
Valeri T. Stefanov,Frank Ball +1 more
TL;DR: In this article, the exact distributions of relevant IBD statistics for two individuals in either an uncle-type or cousin-type relationship are derived for identity-by-descent (IBD) problems for both first-and second-cousin relationships.
Applied Probability On Discrete Time Semi-Markov Chains and Applications in Words Occurrences
Ourania Chryssaphinou,Margarita Karaliopoulou,Nikolaos Limnios +2 more
- 01 Jan 2008
TL;DR: In this paper, the authors considered a finite set of words W = w1 w2 w of equal length k which are produced under the semi-Markovian hypothesis and focused on the waiting time for the first word occurrence from the set W.
References
Sooner and later waiting time problems for patterns in Markov dependent trials
Qing Han,Katuomi Hirano +1 more
TL;DR: In this paper, the authors investigated the problem of finding the distribution of distances between successive occurrences of So and S 0 and S 1 and the waiting time until the rth occurrence of So in multistate Markov dependent trials.
21
Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent
Valeri T. Stefanov,Frank Ball +1 more
TL;DR: In this article, the exact distributions of relevant IBD statistics for two individuals in either an uncle-type or cousin-type relationship are derived for identity-by-descent (IBD) problems for both first-and second-cousin relationships.
Applied Probability On Discrete Time Semi-Markov Chains and Applications in Words Occurrences
Ourania Chryssaphinou,Margarita Karaliopoulou,Nikolaos Limnios +2 more
- 01 Jan 2008
TL;DR: In this paper, the authors considered a finite set of words W = w1 w2 w of equal length k which are produced under the semi-Markovian hypothesis and focused on the waiting time for the first word occurrence from the set W.
Modeling and analyzing the trickle algorithm
Thomas M.M. Meyfroyt
- 01 Jan 2013
TL;DR: This report analyzes the suitability of the Trickle algorithm for lighting control in terms of its parameter settings by developing and analyzing mathematical models of the trickle algorithm assuming interference-free networks and no loss rates.
Exact Distributions for Reward Functions on Semi-Markov and Markov Additive Processes
TL;DR: In this article, the Laplace transforms of general reward functions on semi-Markov and Markov additive processes on continuous-time Markov chains have been studied, leading to explicit closed-form expressions for the relevant Laplace transform.