Results 41 to 50 of about 30,240 (156)

Dirichlet heat kernel estimates for $\Delta^{\alpha/2}+ \Delta^{\beta/2}$

Illinois Journal of Mathematics, 2010
For $d\geq 1$ and ...
Chen, Zhen-Qing, Kim, Panki, Song, Renming   +2 more
openaire   +4 more sources

BETA NEURO-FUZZY SYSTEMS

TASK Quarterly, 2003
In this paper we present the Beta function and its main properties. A key feature of the Beta function, which is given by the central limit theorem, is also shown.
ADEL M. ALIMI
doaj  

The Interpolating Airy Kernels for the beta=1 and beta=4 Elliptic Ginibre Ensembles

, 2013
We consider two families of non-Hermitian Gaussian random matrices, namely the elliptical Ginibre ensembles of asymmetric N-by-N matrices with Dyson index beta=1 (real elements) and with beta=4 (quaternion-real elements). Both ensembles have already been solved for finite N using the method of skew-orthogonal polynomials, given for these particular ...
Akemann, Gernot, Phillips, M. J.
openaire   +4 more sources

On Extended Beta Function and Related Inequalities

Mathematics
In this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function.
Rakesh K. Parmar, Tibor K. Pogány, Ljiljana Teofanov   +2 more
doaj   +1 more source

Minimum-Variance Kernels, Economic Risk Premia, and Tests of Multi-Beta Models [PDF]

SSRN Electronic Journal, 2001
This paper uses minimum-variance (MV) admissible kernels to estimate risk premia associated with economic risk variables and to test multi-beta models. Estimating risk premia using MV kernels is appealing because it avoids the need to 1) identify all relevant sources of risk and 2) assume a linear factor model for asset returns.
Pierluigi Balduzzi, Cesare Robotti
openaire   +3 more sources

EEG-Based Emotion Recognition Using Logistic Regression with Gaussian Kernel and Laplacian Prior and Investigation of Critical Frequency Bands

Applied Sciences, 2020
Emotion plays a nuclear part in human attention, decision-making, and communication. Electroencephalogram (EEG)-based emotion recognition has developed a lot due to the application of Brain-Computer Interface (BCI) and its effectiveness compared to body ...
Chao Pan, Cheng Shi, Honglang Mu, Jie Li, Xinbo Gao   +4 more
doaj   +1 more source

A novel Prediction Method based on Improved Deep Mixture Density Network for Electricity Consumption, Photovoltaic Generation, and Net Demand of Smart Homes: Case Study for Sydney Metropolitan Area

Journal of Applied Science and Engineering
The electricity consumption in the smart grids consists of an uncertainty feature. Also, an unstable atmosphere situation causes photovoltaic (PV) generation will be undefined output.
Bo Yang, Zheng hua Tao, Wei Hong
doaj   +1 more source

Nonparametric Regression Estimation for Multivariate Null Recurrent Processes

Econometrics, 2015
This paper discusses nonparametric kernel regression with the regressor being a \(d\)-dimensional \(\beta\)-null recurrent process in presence of conditional heteroscedasticity. We show that the mean function estimator is consistent with convergence rate
Biqing Cai, Dag Tjøstheim
doaj   +1 more source

Nonparametric Beta Kernel Estimator for Long Memory Time Series [PDF]

, 2009
The paper introduces a new nonparametric estimator of the spectral density that is given in smoothing the periodogram by the probability density of Beta random variable (Beta kernel). The estimator is proved to be bounded for short memory data, and diverges at the origin for long memory data.
Bouezmarni, Taoufik, Van Bellegem, Sébastien   +1 more
openaire   +6 more sources

Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences

Entropy, 2015
This work reviews and extends a family of log-determinant (log-det) divergences for symmetric positive definite (SPD) matrices and discusses their fundamental properties.
Andrzej Cichocki, Sergio Cruces, Shun-ichi Amari   +2 more
doaj   +1 more source