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Multivariate analogues of Catalan numbers, . . .

by Nicholas Anthony Loehr , 2003
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Multivariate analogues of Catalan . . .

by Nicholas Anthony Loehr , 2003
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A Multivariate Analogue of Pooling of Data

by Sokuro Sato - Bulletin of Mathematical Statistics , 1962
"... In this paper the author attempts to extend the inferences of a k-dimensional mean vector on the basis of pooling data in a multivariate normal case and to give concretely certain formulae and properties of them. The principle and some statistical methods of pooling data have been discussed by Bancr ..."
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In this paper the author attempts to extend the inferences of a k-dimensional mean vector on the basis of pooling data in a multivariate normal case and to give concretely certain formulae and properties of them. The principle and some statistical methods of pooling data have been discussed

Computation Of The Test Statistic And The Null Distribution In The Multivariate Analogue Of The One-Sided Test

by Yoshiro Yamamoto, Akio Kudo, Katsumi Ujiie
"... The multivariate analogue of the one sided test derived in Kudo (1963) is considered. A handy method of computing the test statistic and its significance probability is given. The method is based on applying sweep out operations on a certain matrix in a systematic manner and applying the Fortran sub ..."
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The multivariate analogue of the one sided test derived in Kudo (1963) is considered. A handy method of computing the test statistic and its significance probability is given. The method is based on applying sweep out operations on a certain matrix in a systematic manner and applying the Fortran

General methods for monitoring convergence of iterative simulations

by Stephen P. Brooksand, Andrew Gelman - J. Comput. Graph. Statist , 1998
"... We generalize the method proposed by Gelman and Rubin (1992a) for monitoring the convergence of iterative simulations by comparing between and within variances of multiple chains, in order to obtain a family of tests for convergence. We review methods of inference from simulations in order to develo ..."
Abstract - Cited by 551 (8 self) - Add to MetaCart
to develop convergence-monitoring summaries that are relevant for the purposes for which the simulations are used. We recommend applying a battery of tests for mixing based on the comparison of inferences from individual sequences and from the mixture of sequences. Finally, we discuss multivariate analogues

A new method for non-parametric multivariate analysis of variance in ecology.

by Marti J Anderson - Austral Ecology, , 2001
"... Abstract Hypothesis-testing methods for multivariate data are needed to make rigorous probability statements about the effects of factors and their interactions in experiments. Analysis of variance is particularly powerful for the analysis of univariate data. The traditional multivariate analogues, ..."
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Abstract Hypothesis-testing methods for multivariate data are needed to make rigorous probability statements about the effects of factors and their interactions in experiments. Analysis of variance is particularly powerful for the analysis of univariate data. The traditional multivariate analogues

A note on a multivariate analogue of the process capability index C p

by J. Jessenberger, C. Weihs, Target Value T
"... A simple method is given to calculate the multivariate process capability index C p * as defined by Taam et al. (1993) and discussed by Kotz & Johnson (1993). It is shown that using this index is equivalent to using the smallest univariate C p -value to determine the capability of a process. Th ..."
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A simple method is given to calculate the multivariate process capability index C p * as defined by Taam et al. (1993) and discussed by Kotz & Johnson (1993). It is shown that using this index is equivalent to using the smallest univariate C p -value to determine the capability of a process

C∗-algebras with the weak expectation property and a multivariable analogue of Ando’s theorem on the numerical radius

by Douglas Farenick, Ali S. Kavruk, Vern, I. Paulsen - J. Operator Theory
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Multivariate generalized Pareto distributions

by Holger Rootzén, Nader Tajvidi
"... Statistical inference for extremes has been a subject of intensive research during the past couple of decades. One approach is based on modeling exceedances of a random variable over a high threshold with the Generalized Pareto (GP) distribution. This has shown to be an important way to apply extrem ..."
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extreme value theory in practice and is widely used. In this paper we introduce a multivariate analogue of the GP distribution and show that it is characterized by each of following two properties: (i) exceedances asymptotically have a multivariate GP distribution if and only if maxima asymptotically

Convexity results and sharp error estimates in approximate multivariate integration

by Allal Guessab, Gerhard Schmeisser - Math. Comp
"... Abstract. An interesting property of the midpoint rule and the trapezoidal rule, which is expressed by the so-called Hermite–Hadamard inequalities, is that they provide one-sided approximations to the integral of a convex function. We establish multivariate analogues of the Hermite–Hadamard inequali ..."
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Abstract. An interesting property of the midpoint rule and the trapezoidal rule, which is expressed by the so-called Hermite–Hadamard inequalities, is that they provide one-sided approximations to the integral of a convex function. We establish multivariate analogues of the Hermite
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