Results 51 to 60 of about 2,442,731 (210)

On the Future of Data Analysis

open access: yesAustrian Journal of Statistics, 2016
This contribution is based on a discussion on the future of data analysis which took place on the last day of the symposium IDA 2000. By different discussants the main problems of current data analysis as well as future developments were discussed ...
Reinhard Viertl
doaj   +1 more source

Cones in homotopy probability theory [PDF]

open access: yes, 2014
This note defines cones in homotopy probability theory and demonstrates that a cone over a space is a reasonable replacement for the space. The homotopy Gaussian distribution in one variable is revisited as a cone on the ordinary Gaussian.Comment: 8 ...
Drummond-Cole, Gabriel C., Terilla, John
core  

Existence and uniqueness of mild solution to fractional stochastic heat equation

open access: yesModern Stochastics: Theory and Applications, 2018
For a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset {\mathbb{R}^{d}}$ and driven by an ${L^{2}}(D)$-valued fractional Brownian motion with the Hurst index $H>1/2$, a new result on ...
Kostiantyn Ralchenko, Georgiy Shevchenko
doaj   +1 more source

On Weak and Strong Solutions of Paired Stochastic Functional Differential Equations in Infinite-Dimensional Spaces

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
In this paper, we study the questions of the existence of global weak solutions and local strong solutions of paired stochastic functional differential equations in a Hilbert space, one of which is an equation with an unbounded operator, and the other is
Andrey O. Stanzhytskyi
doaj   +1 more source

Discovery of miR-mRNA interactions via simultaneous Bayesian inference of gene networks and clusters using sequence-based predictions and expression data

open access: yesJournal of Integrative Bioinformatics, 2013
MicroRNAs (miRs) are known to interfere with mRNA expression, and much work has been put into predicting and inferring miR-mRNA interactions. Both sequence-based interaction predictions as well as interaction inference based on expression data have been ...
Godsey Brian
doaj   +2 more sources

A Computational Theory of Subjective Probability [PDF]

open access: yes, 2014
In this article we demonstrate how algorithmic probability theory is applied to situations that involve uncertainty. When people are unsure of their model of reality, then the outcome they observe will cause them to update their beliefs.
Keane, Mark   +3 more
core   +1 more source

Local limit theorems in free probability theory

open access: yes, 2010
In this paper, we study the superconvergence phenomenon in the free central limit theorem for identically distributed, unbounded summands. We prove not only the uniform convergence of the densities to the semicircular density but also their $L^p ...
Wang, Jiun-Chau
core   +1 more source

Maximum likelihood estimation in the non-ergodic fractional Vasicek model

open access: yesModern Stochastics: Theory and Applications, 2019
We investigate the fractional Vasicek model described by the stochastic differential equation $d{X_{t}}=(\alpha -\beta {X_{t}})\hspace{0.1667em}dt+\gamma \hspace{0.1667em}d{B_{t}^{H}}$, ${X_{0}}={x_{0}}$, driven by the fractional Brownian motion ${B^{H}}$
Stanislav Lohvinenko   +1 more
doaj   +1 more source

Bayesian Inference for Questionable Data

open access: yesAustrian Journal of Statistics, 2016
In this paper we develop Bayesian procedures for vague data. The data are assumed to be vague in the sense that the likelihood is a mixture of the model distribution and an error distribution.
Klaus Felsenstein
doaj   +1 more source

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