Finitistic and Frequentistic Approximation of Probability Measures with or without <Emphasis Type="Italic">σ</Emphasis>-Additivity

In this paper a theory of finitistic and frequentistic approximations — in short: f-approximations — of probability measures P over a countably infinite outcome space N is developed. The family of subsets of N for which f-approximations converge to a frequency limit forms a pre-Dynkin system . The limiting probability measure over D can always be extended to a probability measure over , but this measure is not always σ-additive. We conclude that probability measures can be regarded as idealizations of limiting frequencies if and only if σ-additivity is not assumed as a necessary axiom for probabilities. We prove that σ-additive probability measures can be characterized in terms of so-called canonical and in terms of so-called full f-approximations. We also show that every non-σ-additive probability measure is f-approximable, though neither canonically nor fully f-approximable. Finally, we transfer our results to probability measures on open or closed formulas of first-order languages.     

Testing attitudes,social desirability and behavioral regulations as moderators of implicit-explicit exercise discrepancies: A replication study in Iranian students

IntroductionThere is mixed evidence regarding moderators of the relationship between implicitly and explicitly measured constructs. This study examined this issue with evaluations of exercise relative to health or appearance in a sample of Iranian adolescents. Investigaing automatic associations and reflective constructs might provide important implications for developing interventions targeting exercise behavior in a population with different cultural, social, and economic barriers to exercise than European or North American adolescents.MethodsParticipants were 471 students enrolled in grades 9 to 12, of whom 269 (54.9%) were female. Behavioral regulations, explicit attitudes, and social desirability were investigated as possible moderators. All students completed questionnaire measures of physical activity behavior, attitudes, social desieality and behavioral regulation. They also completed two Go/No Go Association tasks to measure automatic associations of exercise with health and apperarance.ResultsAttitude was a significant moderator of discrepancies between automatic associations of exercise with health and health motives. Interjected regulation moderated implicit-explicit appearance discrepancies. Participants with low social desirability and negative automatic appearance associations had the highest appearance motivation.ConclusionsParticipants focused on the potential of achieving positive health outcomes of exercise rather than physical appearance outcomes, which differs from research from other countries. It is possible that, health was strongly linked with exercise by the pervasive societal pressures in Iran to have a healthy body.     

Modelling asynchrony in automatic speech recognition using loosely coupled hidden Markov models

Hidden Markov models (HMMs) have been successful for modelling the dynamics of carefully dictated speech, but their performance degrades severely when used to model conversational speech. Since speech is produced by a system of loosely coupled articulators, stochastic models explicitly representing this parallelism may have advantages for automatic speech recognition (ASR), particularly when trying to model the phonological effects inherent in casual spontaneous speech. This paper presents a preliminary feasibility study of one such model class: loosely coupled HMMs. Exact model estimation and decoding is potentially expensive, so possible approximate algorithms are also discussed. Comparison of one particular loosely coupled model on an isolated word task suggests loosely coupled HMMs merit further investigation. An approximate algorithm giving performance which is almost always statistically indistinguishable from the exact algorithm is also identified, making more extensive research computationally feasible.