Results 51 to 60 of about 174,275 (197)

Families of skew linear harmonic Euler sums involving some parameters

Cubo
In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral.
Anthony Sofo
doaj   +1 more source

Storm-based distributed sampling system for multi-source stream environment

International Journal of Distributed Sensor Networks, 2018
As a large amount of data streams occur rapidly in many recent applications such as social network service, Internet of Things, and smart factory, sampling techniques have attracted many attentions to handle such data streams efficiently. In this article,
Wonhyeong Cho, Myeong-Seon Gil, Mi-Jung Choi, Yang-Sae Moon   +3 more
doaj   +1 more source

Penalized nonparametric mean square estimation of the coefficients of diffusion processes [PDF]

, 2007
We consider a one-dimensional diffusion process $(X_t)$ which is observed at $n+1$ discrete times with regular sampling interval $\Delta$. Assuming that $(X_t)$ is strictly stationary, we propose nonparametric estimators of the drift and diffusion ...
Comte, Fabienne, Genon-Catalot, Valentine, Rozenholc, Yves   +2 more
core   +4 more sources

Harmonic Bernoulli strings and random permutations

Lietuvos Matematikos Rinkinys, 2004
We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity.
Eugenius Manstavičius
doaj   +3 more sources

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source

La loi de Pascal restreinte et ses cas particuliers; Constrained Pascal distribution and its special cases [PDF]

Tutorials in Quantitative Methods for Psychology, 2012
Pascal distribution, Pa(r, /pi), also called Negative binomial distribution, pertains to the trial number n at which the first r successes have been obtained, each trial being the realization of a Bernoulli variable with success probability /pi.
Louis Laurencelle
doaj  

Bernoulli Numbers and Solitons — Revisited

Journal of Nonlinear Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment

, 2008
For the Bernoulli Matching model of sequence alignment problem we apply the Bethe ansatz technique via an exact mapping to the 5--vertex model on a square lattice.
A. M. Vershik, D. Gusfield, D. Sankoff, J. M. Hammersley, Kirone Mallick, M. Ablowitz, M. S. Waterman, R. Dubrin, R. J. Baxter, R. Wagner, S. F. Altschul, S. M. Ulam, Satya N. Majumdar, Sergei Nechaev, V. Dancik   +14 more
core   +3 more sources

Bernoulli Particle/Box-Particle Filters for Detection and Tracking in the Presence of Triple Measurement Uncertainty [PDF]

, 2012
This work presents sequential Bayesian detection and estimation methods for nonlinear dynamic stochastic systems using measurements affected by three sources of uncertainty: stochastic, set-theoretic and data association uncertainty.
Gning, Amadou, Mihaylova, Lyudmila, Ristic, B   +2 more
core   +1 more source

q-Bernoulli numbers and polynomials

Duke Mathematical Journal, 1948
Verf. definiert die \(q\)-Bernoullischen Zahlen \(\beta_m\) durch \(\beta_0=1\), \(\beta_1=-1/(q+1)\) und die symboli\-sche Rekursionsformel \(q(q\beta+1)^m=0\) \((m>1)\), wobei \(\beta^i\) nach Entwicklung durch \(\beta_i\) zu ersetzen ist. Die Zahlen \(\beta_m\) stimmen für \(q=1\) mit den gewöhnlichen Bernoullischen Zahlen überein.
openaire   +3 more sources