Bertrand’s paradox in a discretized space: a perspective of randomness
Sign Up to like & getrecommendations! Published in 2025 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2025.2505588
Abstract: Abstract Bertrand’s paradox is analyzed in a discretized space, by considering the degree of randomness. It is demonstrated that none of the three original chord-selection methods can reach the global maximum of entropy, i.e., they… read more here.
Keywords: paradox discretized; discretized space; randomness; space perspective ... See more keywords
Bertrand's Paradox and the Maximum Entropy Principle
Sign Up to like & getrecommendations! Published in 2019 at "Philosophy and Phenomenological Research"
DOI: 10.1111/phpr.12596
Abstract: An important suggestion of objective Bayesians is that the maximum entropy principle can replace a principle which is known to get into paradoxical difficulties: the principle of indifference. No one has previously determined whether the… read more here.
Keywords: principle; maximum entropy; bertrand paradox; entropy principle ... See more keywords