Probability Theory for Continuous Variables

OBJECTIVEForamen ovale electrodes (FOEs) are a minimally invasive method to localize mesial temporal seizures in cases in which noninvasive methods are inconclusive. The objective of this study was to identify factors predicting the ability of FOEs to yield a diagnosis in order to determine optimal candidates for this procedure.METHODSAll cases of diagnostic investigations performed with FOEs at the authors’ institution between 2005 and 2017 were reviewed. FOE investigation was defined as diagnostic if it led to a treatment decision. Demographic and clinical variables for diagnostic and nondiagnostic investigations were compared using a Wilcoxon rank-sum test for continuous variables and Fisher’s exact test for categorical variables.RESULTSNinety-three patients underwent investigations performed with FOEs during the study period and were included in the study. FOE investigation was diagnostic in 75.3% of cases. Of patients who underwent anterior temporal lobectomy following diagnostic FOE evaluation, 75.9% were Engel class I at last follow-up (average 40.1 months). When the diagnostic and nondiagnostic FOE groups were compared, patients who had diagnostic investigations were more likely to be male (57.1% male vs 26.1% in the nondiagnostic group, p = 0.015). They were also more likely to have temporal lesions on preoperative MRI (p = 0.018).CONCLUSIONSFOEs are a useful, minimally invasive diagnostic modality resulting in a treatment decision in 75% of cases. Male patients and patients with temporal lesions on MRI may be most likely to benefit from FOE investigation.

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Faculty Opinions recommendation of Natural history of imatinib-naive GISTs: a retrospective analysis of 929 cases with long-term follow-up and development of a survival nomogram based on mitotic index and size as continuous variables.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.13356067.14726207 ◽

2011 ◽

Author(s):

Richard Riedel

Keyword(s):

Natural History ◽

Retrospective Analysis ◽

Mitotic Index ◽

Continuous Variables ◽

Long Term Follow Up ◽

History Of

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The application of comparative method in the study of probability theory

Applied Mathematics Information ◽

10.35534/ami.0201001c ◽

2020 ◽

Vol 2 (1) ◽

pp. 1-8

Author(s):

Gao Wenwen

Keyword(s):

Probability Theory ◽

Comparative Method

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Probability Theory for Fuzzy Quantum Spaces with Statistical Applications

10.2174/97816810853881170101 ◽

2017 ◽

Cited By ~ 1

Author(s):

Renáta Bartková ◽

Beloslav Riečan ◽

Anna Tirpáková

Keyword(s):

Probability Theory ◽

Fuzzy Sets ◽

Ergodic Theorem ◽

Intuitionistic Fuzzy Sets ◽

Mathematics Students ◽

Intuitionistic Fuzzy ◽

Individual Ergodic Theorem ◽

Recurrence Theorem ◽

The Individual ◽

Atanassov Intuitionistic Fuzzy Sets

The reference considers probability theory in two main domains: fuzzy set theory, and quantum models. Readers will learn about the Kolmogorov probability theory and its implications in these two areas. Other topics covered include intuitionistic fuzzy sets (IF-set) limit theorems, individual ergodic theorem and relevant statistical applications (examples from correlation theory and factor analysis in Atanassov intuitionistic fuzzy sets systems, the individual ergodic theorem and the Poincaré recurrence theorem). This book is a useful resource for mathematics students and researchers seeking information about fuzzy sets in quantum spaces.

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Arguments from Providence and from Miracles

10.1093/oso/9780190842215.003.0021 ◽

2018 ◽

Author(s):

Timothy McGrew

Keyword(s):

Probability Theory ◽

20Th Century ◽

Probabilistic Analysis ◽

Interdisciplinary Collaboration ◽

Formal Analysis ◽

Empirical Science ◽

The Subject

The mid-20th century consensus regarding Hume’s critique of reported miracles has broken down dramatically in recent years thanks to the application of probabilistic analysis to the issue and the rediscovery of its history. Progress from this point forward is likely to be made along one or more of three fronts. There is wide room for interdisciplinary collaboration, work that will bring together scholars with expertise in religion, psychology, philosophy, and empirical science. There is a great deal of work still to be done in formal analysis, making use of the tools of modern probability theory to model questions about testimony and inference. And the recovery and study of earlier works on the subject—works that should never have been forgotten—can significantly enrich our understanding of the underlying issues.

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