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.
Cinfrignini, A., Petturiti, D., Vantaggi, B. (2022). Markov and Time-Homogeneity Properties in Dempster-Shafer Random Walks. In Communications in Computer and Information Science (pp.784-797). Springer Science and Business Media Deutschland GmbH [10.1007/978-3-031-08971-8_63].
Markov and Time-Homogeneity Properties in Dempster-Shafer Random Walks
Cinfrignini A.;
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.
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https://hdl.handle.net/11365/1275558