Results 1 to 10 of about 1,277,454 (140)
Entangled probability distributions [PDF]
arXiv, 2023 Concept of entangled probability distribution of several random variables is introduced. These probability distributions describe multimode quantum states in probability representation of quantum mechanics. Example of entangled probability distribution is considered.
arxiv
Precise asymptotics of ruin probabilities for a class of multivariate heavy-tailed distributions [PDF]
Statistics & Probability Letters Volume 166, November 2020, 108871, 2020 This article studies asymptotic approximations of ruin probabilities of multivariate random walks with heavy-tailed increments. Under our assumptions, the distributions of the increments are closely connected to multivariate subexponentiality and admit dependence between components.
arxiv +1 more source
Piecewise Probability Distribution Theory [PDF]
arXiv, 2022 A general piecewise (including pointwise) probability distribution with space-saving notation and its hierarchical particular cases are considered. The explicit closed-form normalization, expectation, and variance formulas along with the median and mode formulas and algorithms for a general one-dimensional piecewise linear probability distribution are ...
arxiv
Joint Probability Distributions for a Class of Non-Markovian Processes [PDF]
Physical Review E 71, 026101 (2005), 2004 We consider joint probability distributions for the class of coupled Langevin equations introduced by Fogedby [H.C. Fogedby, Phys. Rev. E 50, 1657 (1994)]. We generalize well-known results for the single time probability distributions to the case of N-time joint probability distributions. It is shown that these probability distribution functions can be
arxiv +1 more source
Imprecise Subset Simulation [PDF]
arXiv, 2021 The objective of this work is to quantify the uncertainty in probability of failure estimates resulting from incomplete knowledge of the probability distributions for the input random variables. We propose a framework that couples the widely used Subset simulation (SuS) with Bayesian/information theoretic multi-model inference.
arxiv
Probability Thermodynamics and Probability Quantum Field [PDF]
J. Math. Phys. 64, 103302 (2023), 2019 We introduce probability thermodynamics and probability quantum fields. By probability we mean that there is an unknown operator, physical or nonphysical, whose eigenvalues obey a certain statistical distribution. Eigenvalue spectra define spectral functions.
arxiv +1 more source
arXiv, 2020 We explain, on the example of Wigner's quasiprobability distribution, how negative probabilities may be used in the foundations of probability.
arxiv
Quantization for a mixture of uniform distributions associated with probability vectors [PDF]
arXiv, 2019 The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus approximation of a continuous probability distribution by a discrete distribution.
arxiv
On the Generalized Arcsine Probability Distribution with Bounded Support [PDF]
arXiv, 2015 Properties of the beta functions are investigated. We define the generalized arcsine probability distribution with bounded support. The properties of the beta functions prove some results for this distribution.
arxiv
$\mathcal{R}(p,q)$-multivariate discrete probability distributions [PDF]
arXiv, 2022 We construct the multivariate probability distributions (P\'olya, inverse P\'olya, hypergeometric and negative hypergeometric) from the generalized quantum algebra. Moreover, we derive the bivariate probability distributions and determine their properties($\mathcal{R}(p,q)$-factorial moments and covariance).
arxiv