Results 151 to 160 of about 1,386,135 (194)
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2008
At the end of the 17th century, the mathematician Abraham de Moivre first used the normal distribution as an approximation for the percentage of successes in a large number of experiments. Later on, Laplace generalized his results, but it took 20th century mathematics to give an exact and complete description of this subject. So let me now describe the
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At the end of the 17th century, the mathematician Abraham de Moivre first used the normal distribution as an approximation for the percentage of successes in a large number of experiments. Later on, Laplace generalized his results, but it took 20th century mathematics to give an exact and complete description of this subject. So let me now describe the
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Advances in Applied Probability, 1976
Let be an adapted sequence of integrable random variables on the probability space . Let us set .The following result can be immediately derived from Brown [2]:
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Let be an adapted sequence of integrable random variables on the probability space . Let us set .The following result can be immediately derived from Brown [2]:
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Theory of Probability & Its Applications, 1976
Limit theorems are proved by using certain pseudometrics as distances between distributions in the scheme of summation of series of independent random variables with values in a separable Hilbert space.
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Limit theorems are proved by using certain pseudometrics as distances between distributions in the scheme of summation of series of independent random variables with values in a separable Hilbert space.
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Limit Theorems as Stability Theorems
Theory of Probability & Its Applications, 1990the classical theory oflimit theorems. The authorwas Andrei Nikolaevich Kolmogorov, one of the greatest mathematicians of the 20th century. The breadth of the scientific interests of Kolmogorov and his fundamental contribution to diverse and often quite unrelated areas ofinvestigation have made him a unique figure in modern mathematics.
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Lithuanian Mathematical Journal, 1983
This paper is jointly reviewed with part III, see the following review; Zbl 0567.60025.
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This paper is jointly reviewed with part III, see the following review; Zbl 0567.60025.
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Löb's Theorem as a Limitation on Mechanism
Minds and Machines, 2002Summary: We argue that Löb's Theorem implies a limitation on mechanism. Specifically, we argue, via an application of a generalized version of Löb's Theorem, that any particular device known by an observer to be mechanical cannot be used as an epistemic authority (of a particular type) by that observer: either the belief-set of such an authority is not
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Functional Central Limit Theorems
2008Central limit theorems guarantee that the distributions of properly normalized sums of certain random variables are approximately normal. In many cases, however, a more detailed analysis is necessary. When testing for structural constancy in models, we might be interested in the temporal evolution of our sums.
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On a Combinatorial Limit Theorem
Theory of Probability & Its Applications, 1974Kolchin, V. F., Chistyakov, V. P.
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Functional central limit theorems for persistent Betti numbers on cylindrical networks
Scandinavian Journal of Statistics, 2022Johannes Krebs, Christian Hirsch
exaly