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In traditional statistics, we usually assume that we know the exact probability distributions. In practice, we often only know the probabilities with interval uncertainty. The main emphasis on taking this uncertainty into account has been on situations in which we know a cumulative distribution function (cdf) with interval uncertainty. However, in some
Xiang, Gang, Hall, Jim W.
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PHD thesis, successfully defended at the University of Utrecht, October 4 ...
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Analytic field solution for machine learning integrating physics model and data driven approach
We derive analytical formulas for machine learning that merge a physics model with a data driven approach. We use a path integral method to find a field solution that calculates machine learning statistics while considering the physics model’s ...
Xiaobin Wang, April Wang
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Statistics and uncertainty [PDF]
Quantitative Microbial Risk Assessment Institute HandbookThis chapter provides a review of concepts from probability and statistics that are useful for risk assessment.
Gurian, Patrick L.
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Cultural Influences in Probabilistic Thinking [PDF]
Concerns about students' difficulties in statistics and probability and a lack of research in this area outside of western countries led to a case study which explored form five (14 to 16 year olds) students' ideas in this area.
Sharma, Sashi
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Probabilità e Statistica nella scuola primaria: esperienze didattiche e proposte
INVALSI tests, with the idea of evaluating schools, and teachers, evaluating students abilities, produce a passage from mass school, in which the goal was to promote cooperation and uniform training of all students, with particular attention to the ...
Luciana Delli Rocili, Antonio Maturo
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Determination of Uncertainty in Measuring Instruments in Electrical Engineering Programs
When electrical engineering students start their instrumentation and measurement course, they have previously taken calculus, physics, probability, and statistics. However, they have problems to apply the knowledge they acquired to solve problems related
Álvaro Espinel-Ortega, Adriana Vega-E
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Overcoming Dilution of Collision Probability in Satellite Conjunction Analysis via Confidence Distribution [PDF]
In satellite conjunction analysis, dilution of collision probability has been recognized as a significant deficiency of probabilistic inference. A recent study identified the false confidence problem as another limitation and suggested a possible causal ...
Hangbin Lee, Youngjo Lee
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Setting optimal alarm thresholds in vibration based condition monitoring system is inherently difficult. There are no established thresholds for many vibration based measurements.
Kun S. Marhadi +1 more
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Probability Disassembled [PDF]
While there is no universal logic of induction, the probability calculus succeeds as a logic of induction in many contexts through its use of several notions concerning inductive inference. They include Addition, through which low probabilities represent
Norton, JD, Norton, John D.
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