144,093 research outputs found
Circular Bernstein polynomial distributions
No full textThis paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular data. It is shown that the trigonometric moments of the proposed circular Bernstein polynomial distribution can all be derived in closed form. We comment on how to fit the Bernstein polynomial density approximation to a sample of data and illustrate our approach with a real data example.Circular data, Non-parametric modeling, Bernstein polynomials
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
Panayis Lyras, Semi-finals (Part 3, Selections), 6th Van Cliburn Competition (1981)
No full textKeyboard sonata in D minor, K. 32 / Scarlatti -- Touches / Bernstein
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
Felix Bernstein Collection 1869-1986
No full textThe collection contains diverse documents, such as correspondence, personal documents, certificates and handwritten notes, as well as clippings and published articles relating to Felix Bernstein, his daughter Marianne Bernstein-Wiener and his father Julius Bernstein, as well as the Bernstein family.Of special interest are the correspondence between Felix Bernstein and Albert Einstein and their suggested guidelines for German refugees in 1939.Felix Bernstein was born in 1878 in Halle a. d. Saale. From 1896 to 1900 he studied mathematics in Munich, Halle, Berlin, Göttingen und received his doctorate in 1901 in Goettingen. He taught at the universities in Halle and Göttingen and was friends with Albert Einstein and other scientists of the day. In 1933 he immigrated to the United States, subsequently teaching at Columbia University, New York University, and Syracuse University. He died in 1956 in Zurich.Felix Bernstein's father, Julius Bernstein, was a physiologist and the first Jewish rector at any German university.Albert Einstein's letters to Felix Bernstein are the property of the Leo Baeck Institute or Princeton University.Photographs removed to Photograph CollectionKasner, Edward (1878-1955) ; Ritt, Joseph Fels (1893-1951)digitize
A survey of results on the q-Bernstein polynomials
No full textIt is now nearly a century since S. N. Bernstein introduced his well-known polynomials. This paper is concerned with generalizations of the Bernstein polynomials, mainly with the so called q-Bernstein polynomials. These are due to the author of this paper and are based on the q integers. They reduce to the Bernstein polynomials when we put q = 1 and share the shape-preserving properties of the Bernstein polynomials when q is an element of (0, 1). This paper also describes another earlier generalization of the Bernstein polynomials, a sequence of rational functions that are also based on the q-integers, proposed by A. Lupas, and two even earlier generalizations due to D. D. Stancu. The present author summarizes various results, due to a number of authors, that are concerned with the q-Bernstein polynomials and with Stancu's two generalizations.</p
Accn 998, Interviews with Jews in Utah, Bernice Frank Bernstein
No full textTranscript (34 pages) of interview by Joyce Kelen with Bernice Frank Bernstein on June 17, 1982 for the Interviews with Jews in Utah Project.This interview was conducted by Joyce Kelen. Mrs. Bernstein (b. 1913) talks about her parents\u27 life in Russia, their views as young radicals, and their emigration from Russia to the United States. She discusses the tensions between Russian and German Jews in th 1920s, and details her family\u27s situation during the Depression. She also remembers the tensions between B\u27nai Israel and Montefiore, World War II, Franklin D. Roosevelt, her involvement in B\u27nai Israel, the Jewish Family Service, and her work as a social worker. 34 pages
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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
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