%0 Journal Article %1 CAPRIO2023325 %A Caprio, Michele %A Mukherjee, Sayan %D 2023 %J International Journal of Approximate Reasoning %K topic_mathfoundation Dynamic Ergodic Imprecise Lower Strong Subjective imprecise kinematics large law numbers probabilities probability %P 325-343 %R https://doi.org/10.1016/j.ijar.2022.10.016 %T Ergodic theorems for dynamic imprecise probability kinematics %U https://www.sciencedirect.com/science/article/pii/S0888613X2200175X %V 152 %X We formulate an ergodic theory for the (almost sure) limit PE˜co of a sequence (PEnco) of successive dynamic imprecise probability kinematics (DIPK, introduced in 10) updates of a set PE0co representing the initial beliefs of an agent. As a consequence, we formulate a strong law of large numbers.

@article{CAPRIO2023325, abstract = {We formulate an ergodic theory for the (almost sure) limit PE˜co of a sequence (PEnco) of successive dynamic imprecise probability kinematics (DIPK, introduced in [10]) updates of a set PE0co representing the initial beliefs of an agent. As a consequence, we formulate a strong law of large numbers.}, added-at = {2024-11-12T13:19:53.000+0100}, author = {Caprio, Michele and Mukherjee, Sayan}, biburl = {https://puma.scadsai.uni-leipzig.de/bibtex/2ad2f45782fc6a4813dfcc4c0c3c6678e/scadsfct}, doi = {https://doi.org/10.1016/j.ijar.2022.10.016}, interhash = {a5d5fbb2eebd2e8c552b0733abb60677}, intrahash = {ad2f45782fc6a4813dfcc4c0c3c6678e}, issn = {0888-613X}, journal = {International Journal of Approximate Reasoning}, keywords = {topic_mathfoundation Dynamic Ergodic Imprecise Lower Strong Subjective imprecise kinematics large law numbers probabilities probability}, pages = {325-343}, timestamp = {2024-11-22T15:49:12.000+0100}, title = {Ergodic theorems for dynamic imprecise probability kinematics}, url = {https://www.sciencedirect.com/science/article/pii/S0888613X2200175X}, volume = 152, year = 2023 }