Plausibility Measures: A User`s Guide
... connection between the probability of disjoint events and the probability of their union. Such an assumption can be viewed as providing a systematic basis for dealing with the combination of evidence, as well as providing a certain modularity in the description of probabilities. For example, if W is ...
... connection between the probability of disjoint events and the probability of their union. Such an assumption can be viewed as providing a systematic basis for dealing with the combination of evidence, as well as providing a certain modularity in the description of probabilities. For example, if W is ...
Probabilistic Horn abduction and Bayesian networks
... Determining what is in a system from observations (diagnosis and recognition) is an important part of AI. There have been many logic-based proposals as to what is a diagnosis 17, 57, 13, 45, 12]. One problem with all of these proposals is that for any diagnostic problem of a reasonable size there a ...
... Determining what is in a system from observations (diagnosis and recognition) is an important part of AI. There have been many logic-based proposals as to what is a diagnosis 17, 57, 13, 45, 12]. One problem with all of these proposals is that for any diagnostic problem of a reasonable size there a ...
Weak Convergence of Probability Measures
... fλ1 ,...,λk (x1 , . . . , xk ) = exp(λ1 x1 + . . . + λk xk ). For the weak convergence in the infinite-dimensional space C[0, 1], the usual additional step is to verify tightness of the distributions of the family of processes (X n ). Loosely speaking, tightness means that no probability mass escape ...
... fλ1 ,...,λk (x1 , . . . , xk ) = exp(λ1 x1 + . . . + λk xk ). For the weak convergence in the infinite-dimensional space C[0, 1], the usual additional step is to verify tightness of the distributions of the family of processes (X n ). Loosely speaking, tightness means that no probability mass escape ...
New Perspectives on the Complexity of Computational Learning, and Other
... a scientist. There were days when I would arrive at meetings discouraged about not making any progress, but his enthusiasm for research and the excitement he brought to each discussion was infectious, and I would walk away with new ideas and new optimism. By not only advancing the state of the art i ...
... a scientist. There were days when I would arrive at meetings discouraged about not making any progress, but his enthusiasm for research and the excitement he brought to each discussion was infectious, and I would walk away with new ideas and new optimism. By not only advancing the state of the art i ...
Probability, Markov Chains, Queues, and Simulation
... getting a 1 is the same as that of getting a 2, or indeed any of the other four possibilities. If a deck of cards is well shuffled and we pick a single card, there is a one in 52 chance that it will be the queen of hearts. What we have done in these examples is to associate probabilities with the el ...
... getting a 1 is the same as that of getting a 2, or indeed any of the other four possibilities. If a deck of cards is well shuffled and we pick a single card, there is a one in 52 chance that it will be the queen of hearts. What we have done in these examples is to associate probabilities with the el ...