منابع مشابه
Discretisations of higher order and the theorems of Faà di Bruno and DeMoivre-Laplace
We study discrete functions on equidistant and non-equidistant infinitesimal grids. We consider their difference quotients of higher order and give conditions for their near-equality to the corresponding derivatives. Important tools are nonstandard notions of regularity of higher order, and the formula of Faà di Bruno for higher order derivatives and a discrete version of it. As an application ...
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Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson
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The notion of a Laplace ladder for a discrete analogue of the Laplace equation is presented. The adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear form of Goursat equation are introduced. 1 Notation Value of functions of continuous variables we denote by f(u, v) i.e. f : R ∋ (u, v) 7→ f(u, v) ∈ R while functions of discrete variables by f(m1, m2) i.e. f : Z 2 ...
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‎This paper presents a new mixture model via considering the univariate skew Laplace distribution‎. ‎The new model can handle both heavy tails and skewness and is multimodal‎. ‎Describing some properties of the proposed model‎, ‎we present a feasible EM algorithm for iteratively‎ ‎computing maximum likelihood estimates‎. ‎We also derive the observ...
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ژورنال
عنوان ژورنال: Rendiconti del Circolo Matematico di Palermo
سال: 1912
ISSN: 0009-725X,1973-4409
DOI: 10.1007/bf03015025