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Eventologically multivariate extensions of probability theory’s limit theorems [PDF]
Eventologically multivariate extensions of probability theory’s limit theorems are proposed. Eventologically multivariate version of limit theorems extends its classical probabilistic interpretation and involves into its structure of dependencies of arbitrary set of events which appears in sequence of independent tests.
Vorobyev, Oleg Yu. +1 more
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Inverse Theorems on the Rate of Approximation for Certain Limit Theorems in Probability Theory
1978In this paper it is shown that the results in [5], concerning direct theorems for convergence in distribution with rates of random variables to general limiting random variables, are best possible in the sense that the existence of certain conditions upon the moments of the random variables in question are not only sufficient for a prescribed rate of ...
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Some Recent Work on Limit Theorems in Probability Theory
1992In the middle of the 1940’s it seemed that the topic of limit theorems of classical type (that is, problems of the limiting behaviour of distributions of sums of a large number of terms that are either independent or connected in Markov chains) was basically exhausted. The monograph written by me together with B.V.
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Hilbert Space Methods and Limit Theorems in Probability Theory
1995Before we introduce the notion of probability, it seems advisable to describe the type of mathematical model used to represent a physical system.
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Complex sampling designs: Uniform limit theorems and applications
Annals of Statistics, 2021, Qiyang Han
exaly
Functional limit theorems for the multi-dimensional elephant random walk
Stochastic Models, 2022Marco Bertenghi
exaly

