Results 251 to 260 of about 1,618,670 (297)
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2005
We characterize convergence of a sequence of d-dimensional random vectors by convergence of the one-dimensional margins and of the copula. The result is applied to the approximation of portfolios modelled by t-copulas with large degrees of freedom, and to the convergence of certain dependence measures of bivariate distributions.
Lindner, Alexander M. +1 more
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We characterize convergence of a sequence of d-dimensional random vectors by convergence of the one-dimensional margins and of the copula. The result is applied to the approximation of portfolios modelled by t-copulas with large degrees of freedom, and to the convergence of certain dependence measures of bivariate distributions.
Lindner, Alexander M. +1 more
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Acta Applicandae Mathematicae, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saulis, L., Deltuvienė, D.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saulis, L., Deltuvienė, D.
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Random Structures and Algorithms, 1996
Summary: Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard top-down recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms, and standard analytic methods in probability theory.
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Summary: Central and local limit theorems (including large deviations) are established for the number of comparisons used by the standard top-down recursive mergesort under the uniform permutation model. The method of proof utilizes Dirichlet series, Mellin transforms, and standard analytic methods in probability theory.
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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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Unconditional limit theorems from conditional limit theorems
Journal of Nonparametric Statistics, 1997The method of proof developed here may be used to obtain unconditional limit theorems from conditional limit theorems in a variety of settings. It is known that given two samples with the same arbitrary nondegenerate common distribution function, the conditional distribution of the sum of the tied midranks of one sample within the pooled ordered sample,
Mark Finkelstein, Howard G. Tucker
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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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