Results 41 to 50 of about 3,135,129 (143)
On the Future of Data Analysis
Austrian 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
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Maximum likelihood estimation in the non-ergodic fractional Vasicek model
Modern 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
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Journal 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
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Journal 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
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A quantum invitation to probability theory [PDF]
arXiv, 2020 Quantum probability theory and complex analysis for children.
arxiv
Existence and uniqueness of mild solution to fractional stochastic heat equation
Modern 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
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Bayesian Inference for Questionable Data
Austrian 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
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Foundations of abstract probability theory [PDF]
arXiv, 2021 Using the ideas of abstract algebra, we introduce the basic concepts of abstract probability theory that generalize the Kolmogorov's probability theory, possibility theory and other theories that deal with uncertainty. Based on abstract addition and multiplication, we define an abstract measure and abstract Lebesgue integral.
arxiv
BMC Evolutionary Biology, 2019 Background For the understanding of human nature, the evolutionary roots of human moral behaviour are a key precondition. Our question is as follows: Can the altruistic moral rule “Risk your life to save your family members, if you want them to save your
József Garay +4 more
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Consistency of LSE for the many-dimensional symmetric textured surface parameters
Modern Stochastics: Theory and Applications, 2023 A multivariate trigonometric regression model is considered. In the paper strong consistency of the least squares estimator for amplitudes and angular frequencies is obtained for such a multivariate model on the assumption that the random noise is a ...
Oleksandr Dykyi, Alexander Ivanov
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