Sentence examples for foundations of probability from inspiring English sources

Carnap presented a rigorous theory of this kind in his Logical Foundations of Probability (1950).

In addition to his work on the foundations of probability, he contributed profound papers on stochastic processes, especially Markov processes.

In using computers to analyze statistical data, he drew on his expertise in the sampling of inspections for industrial quality control, the philosophical foundations of probability and the analysis of variance.

This is not unlike the foundations of probability theory.

This axiom seems to derive directly from Reichenbach's interpretation of the foundations of probability, in particular from Reichenbach's assumption about normal sequences, described below.

Thus, problems in the foundations of probability bear at least indirectly, and sometimes directly, upon central scientific, social scientific, and philosophical concerns.

The fundamental quantities of the measure theoretic foundation of probability theory are the sample space S, which as before is just the set of all possible outcomes of an experiment, and a distinguished class M of subsets of S, called events.

Parameters in Table 1 are the foundations of solving probability distribution of each wind sequence.

Indeed, measures have applications in the foundations of integration, probability and ergodic theories.

In An Essay Concerning Human Understanding (1690), he identified three kinds of arguments, the ad verecundiam, ad ignorantiam, and ad hominem arguments, each of which he contrasted with ad judicium arguments which are arguments based on "the foundations of knowledge and probability" and are reliable routes to truth and knowledge.

In addition to an axiomatization, Reichenbach attempts to provide a foundation for probability claims in terms of properties of sequences, similar to von Mises.