15,760 research outputs found
Asymptotic properties of the Bernstein density copula for dependent data
No full textCopulas are extensively used for dependence modeling. In many cases the data does not reveal how the dependence can be modeled using a particular parametric copula. Nonparametric copulas do not share this problem since they are entirely data based. This paper proposes nonparametric estimation of the density copula for α-mixing data using Bernstein polynomials. We study the asymptotic properties of the Bernstein density copula, i.e., we provide the exact asymptotic bias and variance, we establish the uniform strong consistency and the asymptotic normality.nonparametric estimation, copula, Bernstein polynomial, α-mixing, asymptotic properties, boundary bias
Structured matrix methods for computations on Bernstein basis polynomials
No full textThis thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it is shown that structure preserving matrix methods yield excellent results.
With respect to greatest common divisor computations, the most difficult part is the computation of its degree, and several methods for its determination are presented.
These are based on the Sylvester resultant matrix, and it is shown that a new form of the Sylvester resultant matrix in the modified Bernstein basis yields the best results.
The B´ezout resultant matrix in the modified Bernstein basis is also considered, and it is shown that the results from it are inferior to those from the Sylvester resultant
matrix in the modified Bernstein basis
On the depth r Bernstein projector
No full textIn this paper we prove an explicit formula for the Bernstein projector to representations of depth ≤ r. As a consequence, we show that the depth zero Bernstein projector is supported on topologically unipotent elements and it is equal to the restriction of the character of the Steinberg representation. As another application, we deduce that the depth r Bernstein projector is stable. Moreover, for integral depths our proof is purely local.United States-Israel Binational Science Foundation (Grant 2012365
Bernstein, R. J. (2015). Violencia: pensar sin barandillas. Barcelona: Gedisa.
No full textReseña del libro: Bernstein, R. J. (2015). Violencia: pensar sin barandillas. Barcelona: Gedisa.Reseña del libro: Bernstein, R. J. (2015). Violencia: pensar sin barandillas. Barcelona: Gedisa
Bernstein-Durrmeyer type operators
No full textRésuméWe study here a new kind of modified Bernstein polynomial operators on L1(0, 1) introduced by J. L. Durrmeyer in [4]. We define for f integrable on [0, 1] the modified Bernstein polynomial Mn f: Mnf(x) = (n + 1) ∑nk = oPnk(x)∝10 Pnk(t) f(t) dt. If the derivative dr fdxr with r ⩾ 0 is continuous on [0, 1], drdxrMn f converge uniformly on [0,1] and supxϵ[0,1] ¦Mn f(x) − f(x)¦ ⩽ 2ωf(1/trn) if ωf is the modulus of continuity of f. If f is in Sobolev space Wl,p(0, 1) with l ⩾ 0, p ⩾ 1, Mn f converge to f in wl,p(0, 1)
Bernstein, Basil, Class, Codes and Control: Volume 3, Towards a Theory of Educational Transmissions. Revised Edition. London: Routledge & Kegan Paul, 1977.
No full textPresents a series of Bernstein\u27s papers on changes in the moral basis of schools and changes in the coding of educational transmissions; chapter five presents the author\u27s classic conceptualizations of classification and framing of educational knowledge
Recommended from our members
Applying the ideas of Bernstein in the context of in-company management education
No full textIdeas drawn from the sociology of education have had surprisingly little impact on debates on organizational learning. This article takes ideas drawn from the sociology of education and applies them to a subset of organizational learning, the rapidly growing in company management programmes supplied by higher education institutions. It is argued that such programmes are often populated by participants who traditionally might not have engaged in higher education, making the explanatory frameworks of Bourdieu and Bernstein (with their central focus on education and class) relevant. An application of the concepts of Bernstein points to a need to make the notion of `relevance' in education problematic and to reasons why some participants might find the realization of a competent performance difficult
A resultant matrix for scaled Bernstein polynomials
No full textAbstractThe established theory of the resultant of two polynomials assumes that they are expressed in the power (monomial) basis, and a basis transformation is therefore necessary if the resultant of two Bernstein polynomials is required. In this paper, a resultant matrix for two scaled Bernstein polynomials (polynomials of degree n whose basis functions are (1−x)n−ixi,i=0,…,n) is constructed. In particular, a companion matrix M for a scaled Bernstein polynomial r(x) is developed, and this is used to form a resultant matrix s(M), where s(x) is a scaled Bernstein polynomial
Identidades en álgebras de Bernstein
No full textLa memoria, titulada Identidades en álgebras de Bernstein, trata sobre el estudio de identidades en algunas álgebras báricas, que en términos genéticos se transforman en leyes que cumplen ciertas poblaciones. Los resultados principales obtenidos en esta memoria están referidos a las álgebras de Bernstein. Para las variedades de las álgebras de Jordan-Bernstein y nucleares se demuestra que cumplen la propiedad de Specht, esto es, que el ideal de identidades de una subvariedad de una de estas variedades de álgebras está generado por un número finito de identidades. Por último, se prueba que si (b,) es un álgebra de Jordan-Bernstein, el cuadrado del núcleo del homomorfismo peso es nilpotente de orden 4, es decir, (KER 2)4 = 0, y que en general el cuadrado del núcleo de un álgebra de Bernstein satisface (KER 2)7 = 0. Se demostrará también que el núcleo de un álgebra de Bernstein es resoluble de grado tres. Además, utilizando estos resultados, se prueba que un álgebra de Jordan-Bernstein nuclear generada por r elementos es nilpotente de orden r + 4, si r es impar, y r + 3, si r es par, y por tanto, si (b,) es un álgebra de Bernstein nuclear generada por r elementos es principalmente nilpotente de orden r + 5, si r es impar, y si r es par, es principalmente nilpotente de orden r + 4
- …
