Transient analysis of Markov Regenerative Processes (MRPs) can be performed through the solution of Markov renewal equations defined by global and local kernels, which respectively characterize the occurrence of regenerations and transient probabilities between them. To derive kernels from stochastic models (e.g., stochastic Petri nets), existing methods exclusively address the case where at mo...

In finite mixtures of location-scale distributions, if there is no constraint on the parameters then the maximum likelihood estimate does not exist. But when the ratios of the scale parameters are restricted appropriately, the maximum likelihood estimate exists. We prove that the maximum likelihood estimator (MLE) is strongly consistent, if the ratios of the scale parameters are restricted from...

In 1959 Carnap published a probability model that was meant to allow for reasoning by analogy involving two independent properties. Maher (2000) derived a generalized version of this model axiomatically and defended the model’s adequacy. It is thus natural to now consider how the model might be extended to the case of more than two properties. A simple extension was published by Hesse (1964); t...

Neural network training targets for speech recognition are estimated using a novel method. Rather than use zero and one, continuous targets are generated using forwardbackward probabilities. Each training pattern has more than one class active. Experiments showed that the new method e ectively decreased the error rate by 15% in a continuous digits recognition task.

We present CompARE, a web platform that computes how more efficient is to use a composite endpoint instead of one of its components. CompARE is based on the Asymptotic Relative Efficiency (ARE) method developed by Gómez and Lagakos. Users interact with CompARE through HTML form pages and no knowledge of R is needed. A list of candidate endpoints, anticipatable probabilities and hazard ratios ar...

1. GRAMMAR AND LANGUAGE FORM. 1.1. WHAT GAHL AND GARNSEY (2004) SHOW. There is widespread consensus that one of the tasks of a grammar is to describe the form of language. What Gahl and Garnsey (2004; henceforth G&G) show is that the description of both /t,d/-deletion and word and pause durations in American English needs to make reference to statements of the form ‘such-and-such a syntactic co...

Within an epistemic model for two-player extensive games, we formalize the event that each player believes that his opponent chooses rationally at all information sets. Letting this event be common certain belief yields the concept of sequential rationalizability. Adding preference for cautious behavior to this event likewise yields the concept of quasi-perfect rationalizability. These concepts...

By definition, objects that are skyline points cannot be compared with each other. Yet, thanks to the probabilistic skyline model, skyline points with repeated observations can now be compared. In this model, each object will be assigned a value to denote for its probability of being a skyline point. When we are using this model, some questions will naturally be asked: (1) Which of the objects ...

Cross impact analysis (CIA) consists of a set of related methodologies that predict the occurrence probability of a specific event and that also predict the conditional probability of a first event given a second event. The conditional probability can be interpreted as the impact of the second event on the first. Most of the CIA methodologies are qualitative that means the occurrence and condit...