Sentence examples for generalization of probability from inspiring English sources

So these functions are a generalization of probability.

In 1974, the Japanese scholar Sugeno [1] presented a kind of typical nonadditive measure, Sugeno measure, which is an important generalization of probability measure [2 6].

This notion of "probable" can be formalized as sufficiently high (numerical) probability (i.e., P ≥ t, for some threshold value 1∕2 < t ≤ 1), or alternatively in terms of plausibility, which is a non-metrical generalization of probability.

Hence, it can be considered as a generalization of the probability measure.

GPs can be seen as a generalization of Gaussian probability distributions.

Free probability theory [38] was introduced by Voiculescu in the 1980s in order to attack some problems related to operator algebras and it can be considered as a generalization of classical probability theory to noncommutative algebras.

Partial proportional odds models are generalizations of ordered probability models, for which some of the beta coefficients can differ across alternatives, were applied to investigate Patterns 5 and 8, and the total left-turn crash injuries.

The result of this fusion gives a Bayesian probability on Ω n that can be seen as a generalization of the posterior probability.

In other words, GP are a distribution over functions and a natural generalization of a Gaussian Probability Distribution.

Kratzer's treatment of modal conditionals may be seen as a generalization of the treatment of "Probably, if A, C" as a conditional probability to other modalities.

The conditional expectation E Y|X) considered as a random variable has its own (unconditional) expectation E{E Y|X)}, which is calculated by multiplying equation (9) by f xi) and summing over i to obtain the important formula Properly interpreted, equation (10) is a generalization of the law of total probability.