Results 1  10
of
1,666
Probabilistic aspects of entropy
, 2000
"... We give an overview of some probabilistic facets of entropy, recalling how entropy shows up naturally in various different situations ranging from information theory and hypothesis testing over large deviations and the central limit theorem to interacting random fields and the equivalence of ensemb ..."
Abstract

Cited by 5 (0 self)
 Add to MetaCart
We give an overview of some probabilistic facets of entropy, recalling how entropy shows up naturally in various different situations ranging from information theory and hypothesis testing over large deviations and the central limit theorem to interacting random fields and the equivalence
Probabilistic aspects of Wigner function
, 2004
"... The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is applied as well to seek indications of specific quantum prop ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
the probabilistic interpretation of the Wigner function, though for an arbitrary observable depending jointly on the coordinate and the momentum of the quantum system just the Wigner function gives an effective instrument to calculate the average value and the other statistical characteristics. In this paper
Probabilistic aspects of finance
 Bernoulli
"... In the past decades, advanced probabilistic methods have had significant impact on the field of finance, both in academia and in the financial industry. Conversely, financial questions have stimulated new research directions in probability. In this survey paper, we review some of these developments ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
In the past decades, advanced probabilistic methods have had significant impact on the field of finance, both in academia and in the financial industry. Conversely, financial questions have stimulated new research directions in probability. In this survey paper, we review some
Probabilistic Aspects in Spoken Document Retrieval
, 2003
"... Accessing information in multimedia databases encompasses a wide range of applications in which spoken document retrieval (SDR) plays an important role. In SDR, a set of automatically transcribed speech documents constitutes the files for retrieval, to which a user may address a request in natural l ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
language. This article deals with two probabilistic aspects in SDR. The first part investigates the effect of recognition errors on retrieval performance and inquires the question, why recognition errors have only a little effect on the retrieval performance. In the second part, we present a new
Some Probabilistic Aspects Of Set Partitions
 American Mathematical Monthly
, 1996
"... this paper, section (1.2) offers an elementary combinatorial proof of Dobinski's formula which seems simpler than other proofs in the literature (Rota [35], Berge [5], p. 44, Comtet [9], p. 211). This argument involves identities whose probabilistic interpretations are brought out later in the ..."
Abstract

Cited by 27 (1 self)
 Add to MetaCart
this paper, section (1.2) offers an elementary combinatorial proof of Dobinski's formula which seems simpler than other proofs in the literature (Rota [35], Berge [5], p. 44, Comtet [9], p. 211). This argument involves identities whose probabilistic interpretations are brought out later
Probabilistic aspects of infinite trees and surfaces
, 2003
"... We present a simple construction of a probability measure on rooted infinite planar trees as a limit of a sequence of uniform measures on finite trees. We compute the conditional probability measure on the set of trees containing a given finite tree and use this to determine the distribution of the ..."
Abstract

Cited by 18 (4 self)
 Add to MetaCart
We present a simple construction of a probability measure on rooted infinite planar trees as a limit of a sequence of uniform measures on finite trees. We compute the conditional probability measure on the set of trees containing a given finite tree and use this to determine the distribution of the number of vertices at a given distance from the root, and thereby the Hausdorff dimension associated with this measure. The construction can be generalised to other ensembles of infinite discrete structures. We indicate, in particular, how it can be adapted in a straight forward manner to obtain a probability measure on infinite planar surfaces by using a certain correspondence between quadrangulated surfaces and socalled well labelled trees. The Hausdorff dimension of this measure turns out to be 4. Details of these latter results will appear elsewhere [8]. PACS numbers: 02.10.Ox, 04.60.Nc, 04.60.Pp, 05.40.Fb
Probabilistic Aspects of Default Risk Modeling
, 1998
"... Various probabilistic techniques, which are used in the modeling of derivative securities (in particular, zerocoupon bonds) that are subject to default risk are presented in a systematic way. ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Various probabilistic techniques, which are used in the modeling of derivative securities (in particular, zerocoupon bonds) that are subject to default risk are presented in a systematic way.
In: Probabilistic aspects of life prediction
 ASTM International, West
, 2004
"... Abstract: Many engineers affect "Probabilistic life prediction" by replacing constants with probability distributions and carefully modeling the physical relationships among the parameters. Surprisingly, the statistical relationships among the "constants" are often given short s ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Abstract: Many engineers affect "Probabilistic life prediction" by replacing constants with probability distributions and carefully modeling the physical relationships among the parameters. Surprisingly, the statistical relationships among the "constants" are often given short
Probabilistic aspects of finite frame quantization
, 2008
"... We present a version for finite groups of the construction of coherent states proposed by Perelomov in the case of Lie groups, and use it in order to define some finite frames directly related to certain crystals/quasicrystals. These frames allow us to associate to any complex valued function suppo ..."
Abstract
 Add to MetaCart
supported by the crystal/quasicrystal nodes a linear operator in a finitedimensional space, whose spectrum and mean values may shed a new (possibly probabilistic) light on the geometrical structure. The procedure, not necessarily a path to a quantum approach, can be regarded as an extended version
Probabilistic Aspects of the IntegerPolynomial Analogy
, 2004
"... Consider these remarkable facts about the integers: 1. The probability that an integer between 1 and n is prime is asymptotic to 1 / log n. 2. The probability that two integers are relatively prime is 6/pi2. ..."
Abstract
 Add to MetaCart
Consider these remarkable facts about the integers: 1. The probability that an integer between 1 and n is prime is asymptotic to 1 / log n. 2. The probability that two integers are relatively prime is 6/pi2.
Results 1  10
of
1,666