Results 1 to 10 of about 2,820 (52)
The number of distinct adjacent pairs in geometrically distributed words: a probabilistic and combinatorial analysis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 The analysis of strings of $n$ random variables with geometric distribution has recently attracted renewed interest: Archibald et al. consider the number of distinct adjacent pairs in geometrically distributed words.
Guy Louchard +2 more
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The Variance and the Asymptotic Distribution of the Length of Longest $k$-alternating Subsequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 We obtain an explicit formula for the variance of the number of $k$-peaks in a uniformly random permutation. This is then used to obtain an asymptotic formula for the variance of the length of longest $k$-alternating subsequence in random permutations ...
Altar Çiçeksiz +2 more
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Central and local limit theorems for the weighted Delannoy numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal ...
Belovas Igoris
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Dependence Modeling, 2021 We present a general methodology to construct triplewise independent sequences of random variables having a common but arbitrary marginal distribution F (satisfying very mild conditions).
Beaulieu Guillaume Boglioni +2 more
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Exploiting neighborhood interference with low-order interactions under unit randomized design
Journal of Causal Inference, 2023 Network interference, where the outcome of an individual is affected by the treatment assignment of those in their social network, is pervasive in real-world settings. However, it poses a challenge to estimating causal effects.
Cortez-Rodriguez Mayleen +2 more
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Journal of Causal Inference, 2022 Statistical power is often a concern for clustered randomized control trials (RCTs) due to variance inflation from design effects and the high cost of adding study clusters (such as hospitals, schools, or communities).
Schochet Peter Z.
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On death processes and urn models [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We use death processes and embeddings into continuous time in order to analyze several urn models with a diminishing content. In particular we discuss generalizations of the pill's problem, originally introduced by Knuth and McCarthy, and generalizations
Markus Kuba, Alois Panholzer
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Open Mathematics, 2020 In this article, an errors-in-variables regression model in which the errors are negatively superadditive dependent (NSD) random variables is studied. First, the Marcinkiewicz-type strong law of large numbers for NSD random variables is established. Then,
Zhang Yu +3 more
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Lattice paths with catastrophes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 In queuing theory, it is usual to have some models with a "reset" of the queue. In terms of lattice paths, it is like having the possibility of jumping from any altitude to zero.
Cyril Banderier, Michael Wallner
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Variance and Covariance of Several Simultaneous Outputs of a Markov Chain [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 The partial sum of the states of a Markov chain or more generally a Markov source is asymptotically normally distributed under suitable conditions. One of these conditions is that the variance is unbounded.
Sara Kropf
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