Results 81 to 90 of about 3,135,129 (143)

Lectures on Probability Theory [PDF]

arXiv, 2020
These are lecture notes written at the University of Zurich during spring 2014 and spring 2015. The first part of the notes gives an introduction to probability theory. It explains the notion of random events and random variables, probability measures, expectation, distributions, characteristic function, independence of random variables, types of ...
arxiv  

Distributions of Aβ42 and Aβ42/40 in the Cerebrospinal Fluid in View of the Probability Theory. [PDF]

Diagnostics (Basel), 2021
Lewczuk P, Wiltfang J, Kornhuber J, Verhasselt A.   +3 more
europepmc   +1 more source

Phantom Probability [PDF]

arXiv, 2009
Classical probability theory supports probability measures, assigning a fixed positive real value to each event, these measures are far from satisfactory in formulating real-life occurrences. The main innovation of this paper is the introduction of a new probability measure, enabling varying probabilities that are recorded by ring elements to be ...
arxiv  

Limit Theorems in Free Probability Theory I [PDF]

arXiv, 2006
Based on a new analytical approach to the definition of additive free convolution on probability measures on the real line we prove free analogs of limit theorems for sums for non-identically distributed random variables in classical Probability Theory.
arxiv  

Practical approaches to the estimation of the ruin probability in a risk model with additional funds

Modern Stochastics: Theory and Applications, 2015
We deal with a generalization of the classical risk model when an insurance company gets additional funds whenever a claim arrives and consider some practical approaches to the estimation of the ruin probability.
Yuliya Mishura, Olena Ragulina, Oleksandr Stroyev   +2 more
doaj   +1 more source

Handling of uncertainty in medical data using machine learning and probability theory techniques: a review of 30 years (1991-2020). [PDF]

Ann Oper Res, 2021
Alizadehsani R, Alizadehsani R, Roshanzamir M, Hussain S, Khosravi A, Koohestani A, Zangooei MH, Abdar M, Beykikhoshk A, Shoeibi A, Zare A, Panahiazar M, Nahavandi S, Srinivasan D, Atiya AF, Acharya UR.   +15 more
europepmc   +1 more source

Extended Probabilities: Mathematical Foundations [PDF]

arXiv, 2009
There are important problems in physics related to the concept of probability. One of these problems is related to negative probabilities used in physics from 1930s. In spite of many demonstrations of usefulness of negative probabilities, physicists looked at them with suspicion trying to avoid this new concept in their theories. The main question that
arxiv  

Analysis of Stochastic Reserving Models By Means of NAIC Claims Data

Risks, 2019
In the past two decades increasing computational power resulted in the development of more advanced claims reserving techniques, allowing the stochastic branch to overcome the deterministic methods, resulting in forecasts of enhanced quality.
László Martinek
doaj   +1 more source

Asymptotic Growth of Sample Paths of Tempered Fractional Brownian Motions, with Statistical Applications to Vasicek-Type Models

Fractal and Fractional
Tempered fractional Brownian motion (TFBM) and tempered fractional Brownian motion of the second kind (TFBMII) modify the power-law kernel in the moving average representation of fractional Brownian motion by introducing exponential tempering.
Yuliya Mishura, Kostiantyn Ralchenko
doaj   +1 more source

Accuracy of Approximation for Discrete Distributions

Journal of Probability and Statistics, 2016
The paper is a contribution to the problem of estimating the deviation of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0,1].
Tamás F. Móri
doaj   +1 more source