Results 161 to 170 of about 14,101,579 (209)

Belief Universal Generating Function Analysis of Multi-State Systems Under Epistemic Uncertainty and Common Cause Failures

IEEE Transactions on Reliability, 2015
Because of the complexity of engineering systems, and the fact that insufficient data are only available to obtain the precise state probability of components, an extended universal generating function (UGF) based on belief function theory is introduced ...
J. Mi, Yanfeng Li, Yu Liu, Yuanjian Yang, Hongzhong Huang   +4 more
semanticscholar   +1 more source

On generalized functions

Journal of Applied Probability, 1982
There are described in the literature many spaces of what are variously described as generalized functions, distributions, or improper functions. This article introduces another. The new space is like that of M. J. Lighthill in containing the Fourier transform of every element and in having a particularly simple theory of trigonometric and Fourier ...
openaire   +2 more sources

Generating functions for the generalized Gauss hypergeometric functions

Applied Mathematics and Computation, 2014
Formulas and identities involving many well-known special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) play important roles in themselves and in their diverse applications. Various families of generating functions have been established by a number of authors in many different ways. In this paper, we aim
Shilpi Jain, Praveen Agarwal, Hari M. Srivastava   +2 more
openaire   +2 more sources

On a test of normality based on the empirical moment generating function

, 2016
We provide the lacking theory for a test of normality based on a weighted $$L^2$$ L 2 -statistic that employs the empirical moment generating function.
N. Henze, Stefan Koch
semanticscholar   +1 more source

Cumulant generating function of codeword lengths in optimal lossless compression

2014 IEEE International Symposium on Information Theory, 2014
This paper analyzes the distribution of the codeword lengths of the optimal lossless compression code without prefix constraints both in the non-asymptotic regime and in the asymptotic regime. The technique we use is based on upper and lower bounding the
T. Courtade, S. Verdú
semanticscholar   +1 more source

Computing the Generating Function of a Series Given Its First Few Terms

Experimental Mathematics, 2014
We outline an approach for the computation of a good candidate for the generating function of a power series for which only the first few coefficients are known.
F. Bergeron, S. Plouffe
semanticscholar   +1 more source

An extension of Universal Generating Function in Multi-State Systems Considering Epistemic Uncertainties

IEEE Transactions on Reliability, 2013
Many practical methods and different approaches have been proposed to assess Multi-State Systems (MSS) reliability measures. The universal generating function (UGF) method, introduced in 1986, is known to be a very efficient way of evaluating the ...
Sébastien Destercke, M. Sallak
semanticscholar   +1 more source

Modified k-Pell sequence: some identities and ordinary generating function

, 2013
Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell sequence allow us to obtain some identities for Modified k-Pell numbers.
P. Catarino, P. Vasco
semanticscholar   +1 more source

Generating functions

1998
Abstract In this chapter, we are going to present a useful calculation technique. The basic idea, quite a surprising one, is to consider an infinite sequence of real numbers and associate a certain continuous function with it, the so-called generating function of the sequence.
Jirří Matoušek, Jaroslav Nešetřil
openaire   +1 more source

Generating Visual Explanations

European Conference on Computer Vision, 2016
Clearly explaining a rationale for a classification decision to an end user can be as important as the decision itself. Existing approaches for deep visual recognition are generally opaque and do not output any justification text; contemporary vision ...
Lisa Anne Hendricks, Zeynep Akata, Marcus Rohrbach, Jeff Donahue, B. Schiele, Trevor Darrell   +5 more
semanticscholar   +1 more source