13,668 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
Bernstein family letters 1916-1918
No full textContains correspondence of Samuel Bernstein, a World War I draftee relating to his military training and personal matters. Also contains two letters from his brother, Charles Bernstein and two Yiddish letters to his fatherGift of Ralph Kolodn
The Bernstein-Von Mises Theorem in Semiparametric Competing Risks Models
No full textSemiparametric Bayesian models are nowadays a popular tool in survival analysis. An important area of research concerns the investigation of frequentist properties of these models. In this paper, a Bernstein-von Mises theorem is derived for semiparametric Bayesian models of competing risks data. The cause-specific hazard is taken as the product of the conditional probability of a failure type and the overall hazard rate. We model the conditional probability as a smooth function of time and leave the cumulative overall hazard unspecified. A prior distribution is defined on the joint parameter space, which includes a beta process prior for the cumulative overall hazard. We show that the posterior distribution for any differentiable functional of interest is asymptotically equivalent to the sampling distribution derived from maximum likelihood estimation. A simulation study is provided to illustrate the coverage properties of credible intervals on cumulative incidence functions.Bayesian nonparametrics, Bernstein-von Mises theorem, beta process, competing risks, conditional probability of a failure type, semiparametric inference.
I volti del “Candide”: il romanzo di Voltaire, il musical di Bernstein e le sue varianti
No full textIl saggio ripercorre la genesi del "Candide" di Leonard Bernstein, dalla prima stesura del 1956 sino alla cosiddetta "final revised version" del 1989. Inoltre vengono analizzati e descritti gli sviluppi drammaturgici e i vari episodi musicali dell'opera
Indledning ved Claus Bryld. Eduard Bernstein. Socialdemokratismens fader
No full textIndledning, der gennemgår Bernsteins liv, indsatsen i den tyske arbejderbevægelse, den ortodokse marxisme, indholdet i hans hovedværk, revisionismedebatten og Bernstein-receptionen i det danske socialdemokrati
On rates of convergence for posterior distributions in infinite-dimensional models
No full textThis paper introduces a new approach to the study of rates of convergence for posterior distributions. It is a natural extension of a recent approach to the study of Bayesian consistency. In particular, we improve on current rates of convergence for models including the mixture of Dirichlet process model and the random Bernstein polynomial model
Approximation properties of bivariate complex -Bernstein polynomials in the case
No full textsummary:In the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate -Bernstein polynomials for a function analytic in the polydisc . We give quantitative Voronovskaja type estimates for the bivariate -Bernstein polynomials for . In the univariate case the similar results were obtained by S. Ostrovska: -Bernstein polynomials and their iterates. J. Approximation Theory 123 (2003), 232–255. and S. G. Gal: Approximation by Complex Bernstein and Convolution Type Operators. Series on Concrete and Applicable Mathematics 8. World Scientific, New York, 2009
Richard J. Bernstein: Politics and Pragmatism
No full textRodrigo Cárcamo: Professor Bernstein, thanks to your books we have become aware of the importance of fallibilism and the dangers of the Cartesian anxiety. So, to start our interview I would like to ask you: Do you see the Cartesian anxiety operating relevantly in the current philosophical landscape? Richard J. Bernstein: First of all, it is important to say that I do not see Cartesian anxiety only as an epistemological anxiety, but I see it as something that has a much more general significan..
Bernard Bernstein Archive, 1941-2008 (bulk bulk 1960-1984).
No full textBernard Bernstein collection documents professional activities of Bernard Bernstein, a jeweler, metal smith, writer, and teacher. The collection includes artifacts, correspondence, documents, manuscripts, printed materials, photographs, other visual materials, and sketches.The larger part of the collection includes materials dealing with the artistic side of Bernard Bernstein. These materials are found throughout the collection and consist of artifacts produced during his schooling at City College (Series I: Artifacts), various jewelry designs produced by Bernard Bernstein for commercial use (Series III: Designs), certificates and awards (Series V: General), and materials pertaining to a number of shows and exhibits that Bernard Bernstein was a part of (Series IV: Exhibitions and Art Catalogues).Other materials include documents pertaining to Bernard Bernstein education, professional carrier as a teacher ( Series II: City College of the City University of New York, Series V: General), and his articles in professional journals (Series VI: Printed Materials).In some cases materials are accompanied by Bernard Bernstein’s notes explaining the significance and provenance of the documents.Bernard Bernstein, jeweler, metal smith, and teacher was born in New York in 1928. He began his academic career at the City College of the City University of New York were he studied industrial arts and received his M.F.A. in Jewelry and Silversmithing from the Rochester Institute of Technology. During that period he also studied with Ludwig Wolpert at The Jewish Museum. In 1972 Bernard Bernstein earned his PhD from New York University. He began his teaching career at City College of the City University of New York in the early 1960s where he taught industrial arts and silversmithing. He taught at City College for over 20 years before going to the 92nd Street Y in mid-80s. At the 92nd Street Y he co-directed the Y's Judaica Silversmithing program
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