We generalize discrete-time finite-horizon random walks in order to deal with ambiguity or mis-specification inside the framework of belief functions. Referring to the product rule of conditioning for belief functions, we propose suitable definitions of Markov and time-homogeneity properties. Moreover, we investigate to what extent such properties can be constrained by means of one-step time-homogeneity.

Markov and Time-Homogeneity Properties in Dempster-Shafer Random Walks

Cinfrignini A.;Petturiti D.
;
Vantaggi B.
2022-01-01

Abstract

We generalize discrete-time finite-horizon random walks in order to deal with ambiguity or mis-specification inside the framework of belief functions. Referring to the product rule of conditioning for belief functions, we propose suitable definitions of Markov and time-homogeneity properties. Moreover, we investigate to what extent such properties can be constrained by means of one-step time-homogeneity.
978-3-031-08970-1
978-3-031-08971-8
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1536476
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