Nacionalni portal odprte znanosti

Normal cones corresponding to credal sets of lower probabilities

Damjan Škulj

Izvirni znanstveni članek

Oznake: normal cone;credal set;convex polyhedron;extreme point;imprecise probability;coherent lower probability;

Credal sets are one of the most important models for describing probabilistic uncertainty. They usually arise as convex sets of probabilistic models compatible with judgments provided in terms of coherent lower previsions or more specific models such as coherent lower probabilities or probability in ...

Leto: 2022 Vir: Fakulteta za družbene vede (UL FDV)

ǂA ǂcomplete characterization of normal cones and extreme points for p-boxes

Damjan Škulj

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Oznake: convex polyhedron;credal set;extreme pointp-box;normal cone;probability boxes;extreme point;probability;p-boxes;

Probability boxes, also called p-boxes, correspond to sets of probability distributions bounded by a pair of distribution functions. They belong to the class of models known as imprecise probabilities. One of the central issues related to imprecise probabilities is the intervals of values correspond ...

Leto: 2023 Vir: Fakulteta za družbene vede (UL FDV)

Application of normal cones to the computation of solutions of the nonlinear Kolmogorov backward equation

Damjan Škulj

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Oznake: imprecise Markov chain in continuous time;nonlinear Kolmogorov backward equation;imprecise transition operator;normal cone;

A numerical approach to computing solutions of a generalized Kolmogorov backward equation is proposed, in which the stochastic matrix is replaced by a nonlinear operator obtained as the lower bound of a set of stochastic matrices. The equation is central to the theory of imprecise Markov chains in c ...

Leto: 2023 Vir: Fakulteta za družbene vede (UL FDV)

Random walks on graphs with interval weights as a model of reversible imprecise Markov chains

Damjan Škulj

Objavljeni znanstveni prispevek na konferenci

Oznake: random walk;weighted graph;interval weight;imprecise Markov chain;reversibility;inhomogeneous Markov chain;uncertainty;

We consider random walks on weighted graphs where the edge weights are interval-valued, reflecting uncertainty in the relationships between vertices. We study this model in the framework of reversible imprecise Markov chains by viewing them as sets of precise inhomogeneous Markov chains. We define a ...

Leto: 2025 Vir: Fakulteta za družbene vede (UL FDV)

Reversible imprecise Markov chains

Damjan Škulj

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Oznake: reversible Markov chains;imprecise probabilities;joint distributions;ergodicity;time reversal;

Reversible Markov chains play a central role in stochastic modelling and in algorithms such as Markov chain Monte Carlo (MCMC). Motivated by the fundamental importance of reversibility in classical settings, this paper develops a theoretical framework for reversible imprecise Markov chains. We focus ...

Leto: 2026 Vir: Fakulteta za družbene vede (UL FDV)

Približne izometrije na Banachovih prostorih

Damjan Škulj, Matjaž Omladič

Diplomsko delo

Oznake: približne izometrije;izometrije;Banachovi prostori;

Leto: 1998 Vir: Repozitorij Univerze v Ljubljani (RUL)

Socialna mobilnost v Sloveniji kot Markovski proces

Jasmina Grebenc, Damjan Škulj

Diplomsko delo

Oznake: intergeneracijska mobilnost;izobrazba;Družbena mobilnost;Družbena slojevitost;

Socialna mobilnost v Sloveniji kot Markovski proces

Leto: 2012 Vir: Fakulteta za družbene vede (UL FDV)