Results 61 to 70 of about 267,916 (279)

POISSON APPROXIMATION FOR INDEPENDENT BINOMIAL RANDOM VARIABLES [PDF]

International Journal of Pure and Apllied Mathematics, 2014
This paper gives a bound for the total variation distance between the distribution of a sum of independent binomial random variables and an appropriate Poisson distribution with mean P n=1 mipi, where mi and pi = 1 − qi are parameters of each binomial distribution. With this bound, it is indicated that the distribution of the sum can be approximated by
openaire   +1 more source

A Non‐Reciprocal Architected Porous Medium

Advanced Functional Materials, EarlyView.
ABSTRACT In several fluid flow, energy‐dumping, and energy‐harvesting applications, a dominant flow direction or dominant resistance direction is desirable. In this study, we propose a simple modular geometry that doubles flow resistance in one direction relative to the opposite direction, while maintaining laminar viscous flow.
Clément Vezies, Pablo Zavattieri, Nicolás Silin   +2 more
wiley   +1 more source

Probabilistic degenerate Bernstein polynomials

Applied Mathematics in Science and Engineering
In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
doaj   +1 more source

A New Three Parameter Lifetime Model: The Complementary Poisson Generalized Half Logistic Distribution

IEEE Access, 2021
We propose a new model with flexible failure rate called complementary Poisson generalized half logistic (CPGHL). Various properties of the model are explored and examine numerically such as the explicit expressions of the moments, mean deviations ...
Mustapha Muhammad, Lixia Liu
doaj   +1 more source

Significance of an excess in a counting experiment: assessing the impact of systematic uncertainties and the case with Gaussian background

, 2018
Several experiments in high-energy physics and astrophysics can be treated as on/off measurements, where an observation potentially containing a new source or effect ("on" measurement) is contrasted with a background-only observation free of the effect ("
Vianello, G.
core   +1 more source

Machine Learning‐Assisted Inverse Design of Soft and Multifunctional Hybrid Liquid Metal Composites

Advanced Functional Materials, EarlyView.
A machine learning framework is presented for inverse design of synthesizable multifunctional composites containing both liquid metal and solid inclusions. By integrating physics‐based modeling, data‐driven prediction, and Bayesian optimization, the approach enables intelligent design of experiments to identify optimal compositions and realize these ...
Lijun Zhou, Yunsik Ohm, Ren‐Mian Chin, Olivia Kerr, Krithika Manohar, Mohammad H. Malakooti   +5 more
wiley   +1 more source

Degenerate binomial and degenerate Poisson random variables

, 2020
The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show that the rising factorial moments of the degenerate Poisson random variable with parameter α are ...
Kim, Dae San, Kim, Taekyun
openaire   +2 more sources

3D‐Printable, Honeycomb‐Inspired Tissue‐Like Bioelectrodes for Patient‐Specific Neural Interface

Advanced Materials, EarlyView.
3D printed MRI‐compatible tissue‐like neural electrodes tailored to individual gyral patterns. This honeycomb‐inspired printable gel electrode (HiPGE) employs a bioinspired architecture with soft hydrogels, engineered to match the softness of brain tissue.
Marzia Momin, Luyi Feng, Xiaoai Chen, Salahuddin Ahmed, Basma AlMahmood, Li‐Pang Huang, Jiashu Ren, Xinyi Wang, Hyunjin Lee, Samuel R. Cramer, Nanyin Zhang, Sulin Zhang, Tao Zhou   +12 more
wiley   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source

Alternative probabilistic representations of Barenblatt-type solutions

Modern Stochastics: Theory and Applications, 2020
A general class of probability density functions \[ u(x,t)=C{t^{-\alpha d}}{\left(1-{\left(\frac{\| x\| }{c{t^{\alpha }}}\right)^{\beta }}\right)_{+}^{\gamma }},\hspace{1em}x\in {\mathbb{R}^{d}},t>0,\] is considered, containing as particular case the ...
Alessandro De Gregorio, Roberto Garra
doaj   +1 more source