Results 11 to 20 of about 3,135,129 (143)

Ruin probability in a risk model with variable premium intensity and risky investments [PDF]

open access: yesOpuscula Mathematica, 2015
We consider a generalization of the classical risk model when the premium intensity depends on the current surplus of an insurance company. All surplus is invested in the risky asset, the price of which follows a geometric Brownian motion.
Yuliya Mishura   +2 more
doaj   +1 more source

Quantum Probability Theory [PDF]

open access: yes, 2005
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann in ...
Redei, Miklos, Summers, Stephen J.
core   +5 more sources

Gamblers Never Change their Habits

open access: yesAustrian Journal of Statistics, 2016
In the game ‘6 out of 45’ the gambler has to guess 6 different numbers out of 45. These guesses are far from being uniformly distributed, instead gamblers prefer certain numbers and avoid others.
Karl Grill, Norbert Kusolitsch
doaj   +1 more source

Investigation of sample paths properties for some classes of φ-sub-Gaussian stochastic processes

open access: yesModern Stochastics: Theory and Applications, 2021
This paper investigates sample paths properties of φ-sub-Gaussian processes by means of entropy methods. Basing on a particular entropy integral, we treat the questions on continuity and the rate of growth of sample paths.
Olha Hopkalo, Lyudmyla Sakhno
doaj   +1 more source

General Conditions of Weak Convergence of Discrete-Time Multiplicative Scheme to Asset Price with Memory

open access: yesRisks, 2020
We present general conditions for the weak convergence of a discrete-time additive scheme to a stochastic process with memory in the space D [ 0 , T ] . Then we investigate the convergence of the related multiplicative scheme to a process that can
Yuliya Mishura   +2 more
doaj   +1 more source

Conditioning in tropical probability theory [PDF]

open access: yes, 2019
We define a natural operation of conditioning of tropical diagrams of probability spaces and show that it is Lipschitz continuous with respect to the asymptotic entropy distance.Comment: 12 pages, V2 - updated ...
Matveev, Rostislav   +1 more
core   +2 more sources

Decision Trees with Soft Numbers [PDF]

open access: yesInternational Journal of Circuits, Systems and Signal Processing volume 15, 2021, 2022
In the classical probability in continuous random variables there is no distinguishing between the probability involving strict inequality and non strict inequality. Moreover a probability involves equality collapse to zero without distinguishing among the values that we would like that the random variable will have for comparison.
arxiv   +1 more source

Gaussian Volterra processes with power-type kernels. Part I

open access: yesModern Stochastics: Theory and Applications, 2022
The stochastic process of the form \[ {X_{t}}={\int _{0}^{t}}{s^{\alpha }}\left({\int _{s}^{t}}{u^{\beta }}{(u-s)^{\gamma }}\hspace{0.1667em}du\right)\hspace{0.1667em}d{W_{s}}\] is considered, where W is a standard Wiener process, $\alpha >-\frac{1}{
Yuliya Mishura, Sergiy Shklyar
doaj   +1 more source

Quantum Theory of Probability and Decisions [PDF]

open access: yes, 1999
The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining, non-probabilistic, axioms of ...
Centre For Quantum Computation   +2 more
core   +4 more sources

Stability Estimates for Finite-Dimensional Distributions of Time-Inhomogeneous Markov Chains

open access: yesMathematics, 2020
This paper is devoted to the study of the stability of finite-dimensional distribution of time-inhomogeneous, discrete-time Markov chains on a general state space.
Vitaliy Golomoziy, Yuliya Mishura
doaj   +1 more source

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