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Probability and Measure
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In this paper, the convergence of distributions is considered in the context of conditional probability, i.e., random variables and expected values, and the probability of a given distribution converging to a certain value.Abstract:
Probability. Measure. Integration. Random Variables and Expected Values. Convergence of Distributions. Derivatives and Conditional Probability. Stochastic Processes. Appendix. Notes on the Problems. Bibliography. List of Symbols. Index.read more
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The Category of Markov Kernels
TL;DR: It is shown that this category based on Markov kernels has partially-additive structure and, as such, supports basic constructs like iteration and allows one to give a probabilistic semantics for a language with while loops in the manner of Kozen.
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Optimal replacement under a minimal repair strategy-a general failure model
TL;DR: In this paper, the authors generalize the minimal repair replacement model introduced by Barlow and Hunter (1960) and assume that there is available information about the underlying condition of the system, for instance through measurements of wear characteristics and damage inflicted on the system.
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Covert Communication Gains From Adversary’s Ignorance of Transmission Time
TL;DR: In this paper, the impact of the adversary's ignorance of the time of the communication attempt on the performance of covert communication was studied, where Alice may use a single slot of the AWGN channel under the assumption that the adversary does not know when Alice transmits.
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Social choice and electoral competition in the general spatial model
TL;DR: The properties of social preferences generated by simple games are investigated; results on generic emptiness of the core are extended; the general nonemptiness of the uncovered and undominated sets is proved; and the upper hemicontinuity of these correspondences is proved.
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Flux decomposition into coherent structures
Larry Mahrt,Wayne Gibson +1 more
TL;DR: In this article, the intermittency of the momentum flux near the surface and the relation of such intermittency to coherent structures is examined, where variances and covariances are decomposed into coherent structures and less coherent activity.