Results 71 to 80 of about 189,197 (211)

Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models

Journal of Time Series Analysis, EarlyView.
ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
wiley   +1 more source

On the Derivatives of Bernstein Polynomials: An Application for the Solution of High Even-Order Differential Equations

Boundary Value Problems, 2011
A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a
Bhrawy AH, Saker MA, Doha EH
doaj  

Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]

, 2009
This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core   +1 more source

On the Exact Limiting Distribution of a Volatility Target Index

Mathematical Finance, EarlyView.
ABSTRACT Assuming a lognormal distribution for the underlying risky asset, we study the limiting distribution of a volatility target index as the rebalancing time step approaches zero. Two limit theorems (a strong law of large numbers and a central limit theorem) are established, and as an application, the exact limiting distribution is derived.
Xuan Liu, Michel Gauthier
wiley   +1 more source

Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials

Abstract and Applied Analysis, 2011
The purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma functions.
Taekyun Kim
doaj   +1 more source

Shot-noise-limited X-ray powder diffraction from organic crystals with laser-driven femtosecond X-ray source [PDF]

J Appl Crystallogr
This communication highlights the feasibility of recording shot‐noise‐limited X‐ray powder diffraction from organic crystals using a laser‐driven X‐ray source.Laser‐driven X‐ray sources are increasingly used to investigate the transient behaviour of optically excited materials. While their application to thin films and powders of radiation‐hard samples
Baranova I, Pulnova Y, Garayeva R, Panthi Y, Žoldák G, Nejdl J, Angelov B, Leonarski F, Andreasson J, Khakurel K.   +9 more
europepmc   +2 more sources

Nonparametric Conditional Copula Density Estimation With Applications to the Body Mass Index

Stat, Volume 15, Issue 4, December 2026.
ABSTRACT This study develops a nonparametric conditional copula density estimator that features a parametric carrier copula refined by an exponential series adjustment. We adopt the local likelihood approach for conditional distribution estimation and incorporate the influence of covariates via kernel smoothing.
Michael Z. Wu, Lan Zhou
wiley   +1 more source

Linearizations of Matrix Polynomials in Bernstein Basis [PDF]

, 2014
We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenvalue problems. Using Mobius transformations of matrix polynomials, large new families of strong linearizations are generated.
Perovic, Vasilije, Mackey, D. Steven
core   +2 more sources

A NOTE ON THE GENERALIZED BERNSTEIN POLYNOMIALS

Honam Mathematical Journal, 2011
Summary: We prove two identities for multivariate Bernstein polynomials on simplices. In this paper, we study good approximations of Bernstein polynomials for every continuous function on simplices and the higher dimensional \(q\)-analogues of Bernstein polynomials on simplices.
Bayad, Abdelmejid, Kim, T., Lee, S.H., Dolgy, D.V.   +3 more
openaire   +3 more sources

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source