Results 71 to 80 of about 1,420 (191)

On Metric Choice in Dimension Reduction for Fréchet Regression

International Statistical Review, EarlyView.
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale, Congli Ma, Siyu Chen, Obed Koomson   +3 more
wiley   +1 more source

Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
This paper presents an additional approach in the field of polynomial bases, utilizing generalized complex conformable fractional derivative and integral operators. These operators are applied to polynomial bases of complex conformable derivatives (GCCDB)
Gamal Hassan, Ali Sdeek, Amira Atta
doaj   +1 more source

A Conditional Tail Expectation Type Risk Measure for Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT We consider the estimation of the conditional expectation 𝔼(Xh|X0>UX(1/p)), provided 𝔼|X0|<∞, at extreme levels, where (Xt)t∈ℤ$$ {\left({X}_t\right)}_{t\in \mathbb{Z}} $$ is a strictly stationary time series, UX$$ {U}_X $$ its tail quantile function, h$$ h $$ is a positive integer and p∈(0,1)$$ p\in \left(0,1\right) $$ is such that p→0$$ p\to ...
Yuri Goegebeur, Armelle Guillou, Jing Qin   +2 more
wiley   +1 more source

Implicit linear difference equation in Frechet spaces

, 2017
Доказан критерий существования и единственности решения неявного линейного разностного уравнения Axn₊₁ + Bxn = gn с непрерывными операторными коэффициентами A, B, действующими в пространствах Фреше.
Пивень, А.Л., Гефтер, С.Л.   +1 more
core   +1 more source

Density‐Valued ARMA Models by Spline Mixtures

Journal of Time Series Analysis, EarlyView.
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
Yasumasa Matsuda, Rei Iwafuchi
wiley   +1 more source

Topological and Functional Properties of Some F-Algebras of Holomorphic Functions

Journal of Function Spaces, 2015
Let Np  (11. If (Fp)∗ denotes the strong dual space of Fp and Npw∗ denotes the space Sp of complex sequences γ={γn}n satisfying the condition γn=Oexp-cn1/(p+1), equipped with the topology of uniform convergence on weakly bounded subsets of Np, then we ...
Romeo Meštrović
doaj   +1 more source

Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces

Demonstratio Mathematica, 2018
In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.
Abbas Saïd, Agarwal Ravi P., Benchohra Mouffak, Berhoun Farida   +3 more
doaj   +1 more source

Existence, Uniqueness, and Mittag–Leffler–Ulam Stability Results for Cauchy Problem Involving ψ-Caputo Derivative in Banach and Fréchet Spaces

International Journal of Differential Equations, 2020
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra, G. N’Guérékata   +3 more
doaj   +1 more source

Hyers-Ulam Stability of Linear Operators in Frechet Spaces

, 2012
Hyers-Ulam stability of a linear operator between Frechet spaces is defined. Necessary and sufficient conditions for the existence of Hyers-Ulam stability of a continuous linear operator from a Frechet space to another Frechet space are ...
Balaji, S., Sam Johnson, P.
core  

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source