Results 31 to 40 of about 10,792 (301)

A Clarification of the Cauchy Distribution [PDF]

Communications for Statistical Applications and Methods, 2014
Summary: We define a multivariate Cauchy distribution using a probability density function; subsequently, a Ferguson's definition of a multivariate Cauchy distribution can be viewed as a characterization theorem using the characteristic function approach.
Lee, Hwi-Young, Park, Hyoung-Jin, Kim, Hyoung-Moon   +2 more
openaire   +2 more sources

A Novel Goodness-of-Fit Test for Cauchy Distribution

Journal of Mathematics, 2023
Recently, several goodness-of-fit tests for Cauchy distribution have been introduced based on Kullback–Leibler divergence and likelihood ratio. It is claimed that these tests are more powerful than the well-known goodness-of-fit tests such as Kolmogorov ...
A. Pekgör
doaj   +1 more source

Spherical matrix distributions and cauchy quotients [PDF]

Statistics & Probability Letters, 1989
It is shown that matrix quotients of submatrices of a spherical matrix are distributed as matrix Cauchy. This generalizes known results for scalar ratios of independent normal variates. The derivations are simple and make use of the theory of invariant measures on manifolds.
openaire   +1 more source

On the Kolmogorov Distance for the Maximum Likelihood Estimator in the Explosive Ornstein-Uhlenbeck Process

European Journal of Mathematical Analysis, 2023
The paper estimates the Kolmogorov distance between the distribution of the normalized maximum likelihood estimator of the positive drift parameter in the nonergodic Ornstein-Uhlenbeck process and the standard Cauchy distribution and shows exponential ...
Jaya P. N. Bishwal
doaj   +1 more source

Advanced Cauchy Mutation for Differential Evolution in Numerical Optimization

IEEE Access, 2020
Among many evolutionary algorithms, differential evolution (DE) has received much attention over the last two decades. DE is a simple yet powerful evolutionary algorithm that has been used successfully to optimize various real-world problems.
Tae Jong Choi, Julian Togelius, Yun-Gyung Cheong   +2 more
doaj   +1 more source

Analytical solution of stochastic real‐time dispatch incorporating wind power uncertainty characterized by Cauchy distribution

IET Renewable Power Generation, 2021
Real‐time power dispatch can coordinate wind farms, automatic generation control units and non‐automatic generation control units. In real‐time power dispatch, the probable wind power forecast errors should be appropriately formulated to ensure system ...
Shuwei Xu, Wenchuan Wu, Yue Yang, Bin Wang, Xiaohai Wang   +4 more
doaj   +1 more source

A method for generating distributions with an application to Cauchy distribution

Research in Statistics
There are numerous transformation methods which are in use right now. In this article, the newly proposed model is achieved by using the transformation method known as beta transformation where it does not require more than one additional parameters to ...
Fasna K.
doaj   +1 more source

Evidence for a normal distribution of normalized gains

Physical Review Physics Education Research, 2023
Recently Burkholder et al. argued that class normalized gains over the entire population of courses is approximated by a Cauchy distribution, not by a normal distribution, and therefore should not be used to compare different classes because means and ...
Vincent P. Coletta
doaj   +1 more source

Hybrid Auxetic Architectures: Integrating Curvature‐Driven Design for Enhanced Mechanical Tunability and Structural Performance

Advanced Engineering Materials, EarlyView.
Curvature‐tuned auxetic lattices are designed, fabricated, and mechanically characterized to reveal how geometric curvature governs stretchability, stress redistribution, and Poisson's ratio evolution. Photoelastic experiments visualize stress pathways, while hyperelastic simulations quantify deformation mechanics.
Shuvodeep De, Giovanni Meli, Meysam Khalighian, Anahita Emami   +3 more
wiley   +1 more source

Ferrocene Derivatives Enable Ultrasensitive Perovskite Photodetectors with Enhanced Reverse Bias Stability

Advanced Functional Materials, EarlyView.
Novel ferrocene derivatives (e.g., FcPhc2) are used as an ultrathin layer hole‐blocking layer, reducing hole injection from the Ag contact. This results in an ultralow noise spectral density of 1.2 × 10−14 A Hz−1/2, and a high specific detectivity of 8.1 × 1012 Jones at −0.5 V.
Eunyoung Hong, William D. J. Tremlett, Lucy Hart, Beier Hu, Zhuoran Qiao, Patipan Sukpoonprom, Sarah Fearn, Edoardo Angela, Matilde Brunetta, Demosthenes C. Koutsogeorgis, Nikolaos Kalfagiannis, Davide Nodari, Martyn A. McLachlan, Piers R. F. Barnes, Artem A. Bakulin, Nicholas J. Long, Nicola Gasparini   +16 more
wiley   +1 more source