Results 51 to 60 of about 3,135,129 (143)

A Computational Theory of Subjective Probability [PDF]

, 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, Maguire, Phil, Maguire, Rebecca, Moser, Philippe   +3 more
core   +1 more source

Limit theorems for the weights and the degrees in anN-interactions random graph model

Open Mathematics, 2016
A random graph evolution based on interactions of N vertices is studied. During the evolution both the preferential attachment rule and the uniform choice of vertices are allowed. The weight of an M-clique means the number of its interactions.
Fazekas István, Porvázsnyik Bettina
doaj   +1 more source

Local limit theorems in free probability theory

, 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

Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions

Modern Stochastics: Theory and Applications, 2019
In the paper we consider higher-order partial differential equations from the class of linear dispersive equations. We investigate solutions to these equations subject to random initial conditions given by harmonizable φ-sub-Gaussian processes.
Yuriy Kozachenko, Enzo Orsingher, Lyudmyla Sakhno, Olga Vasylyk   +3 more
doaj   +1 more source

Conditional probability in Renyi spaces [PDF]

arXiv, 2019
In 1933 Kolmogorov constructed a general theory that defines the modern concept of conditional probability. In 1955 Renyi fomulated a new axiomatic theory for probability motivated by the need to include unbounded measures. This note introduces a general concept of conditional probability in Renyi spaces.
arxiv  

Performance-Utilization Trade-Offs for State Update Services in 5G NR Systems

IEEE Access
State update applications reporting the state of a remote system to the control center constitute a critical part of modern Internet of Things (IoT) applications.
Ekaterina Markova, Varvara E. Manaeva, Elena Zhbankova, Dmitri Moltchanov, Pavel Balabanov, Yevgeni Koucheryavy, Yuliya Gaidamaka   +6 more
doaj   +1 more source

Finding Structures of Interest in a Large Data Set Using Factor Analysis

Austrian Journal of Statistics, 2016
In this paper we introduce a statistical method which can be used in combination with principal component analysis or factor analysis. Certain variables of a large data set which are of interest can be selected in order to calculate loadings and scores ...
Peter Filzmoser
doaj   +1 more source

Quantum Mechanics as an Exotic Probability Theory [PDF]

arXiv, 1995
Recent results suggest that quantum mechanical phenomena may be interpreted as a failure of standard probability theory and may be described by a Bayesian complex probability theory.
arxiv  

Channel Capacity Estimation using Free Probability Theory

, 2007
In many channel measurement applications, one needs to estimate some characteristics of the channels based on a limited set of measurements. This is mainly due to the highly time varying characteristics of the channel.
Debbah, Merouane, Ryan, Øyvind
core   +6 more sources

Stationary probability vectors of higher-order two-dimensional transition probability tensors [PDF]

arXiv, 2018
In this paper we investigate stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. We show that there are two special symmetric transition probability tensors of order $m$ dimension 2, which have and only have two stationary probability vectors; and any other symmetric transition probability tensor of ...
arxiv