Results 241 to 250 of about 515,753 (286)

Independent events in elementary probability theory

International Journal of Mathematical Education in Science and Technology, 2011
In Probability and Statistics taught to mathematicians as a first introduction or to a non-mathematical audience, joint independence of events is introduced by requiring that the multiplication rule is satisfied. The following statement is usually tacitly assumed to hold (and, at best, intuitively motivated): If the n events E 1, E 2, … , E n are ...
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Statistical Independence and Kolmogorov’s Probability Theory

1998
Independently repeated experiments with random outcomes have a formal counter-part in the mathematical concept of statistical independence. The cleanest way to introduce the latter can be found within the framework of Kolmogorov’s axiomatic probability theory which, since the 1930s, became the standard, and by far most widespread, mathematical model of
Manfred Denker, Wojbor A. Woyczyński, Bernard Ycart   +2 more
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Probability theory for number of mixture components resolved by n independent columns

Journal of Chromatography A, 2005
A general theory is proposed for the probability of different outcomes of success and failure of component resolution, when complex mixtures are partially separated by n independent columns. Such a separation is called an n-column separation. An outcome of particular interest is component resolution by at least one column. Its probability is identified
Joe M, Davis, Leonid M, Blumberg
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Conditional independence in probability theory on MV-algebras

Soft Computing, 2003
The author considers a weakly \(\sigma\)-distributive MV-algebra \(M\) and a state on \(M\). He defines the conditional independence of two observables \(x_1\), \(x_2\) given an observable \(x_3\), and he shows that the notion has properties that are analogous to the independence in the Kolmogorov theory.
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Conditional probabilities and statistical independence in quantum theory

Journal of Mathematical Physics, 1978
The problem of defining conditional probabilities and the notion of statistical independence in quantum theory is analyzed. It is shown that (unlike in classical probability theory) the conditional probabilities of a given set of events can be determined only if the sequence of all the experiments performed on the system is also specified.
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Cumulative reaction probability from time independent scattering theory

The Journal of Chemical Physics, 1995
The formally exact expression for the cumulative reaction probability, N(E), was first derived by Miller, Schwartz and Tromp (MST) [J. Chem. Phys. 79, 4889 (1983)] from the flux–flux time-dependent expression for the thermal rate constant. We derive the MST formula for N(E) from the time-independent expression for the state-to-state transition ...
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Cumulative reaction probability and reaction eigenprobabilities from time-independent quantum scattering theory

Physical Review A, 2001
The cumulative reaction probability (CRP) is a gross characteristic of rearrangement collision processes defining the reaction rate constant. This paper presents a complete development of the approach to the theory of CRP that we have recently proposed [Phys. Rev. Lett. 80, 41 (1998)]. In the core of this approach lies an alternative expression for CRP
Oleg I. Tolstikhin, Valentin N. Ostrovsky, Hiroki Nakamura   +2 more
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Viscoelastic or Viscoplastic Glucose Theory (VGT #66): Relative Risk Probability of Developing Ovarian and/or Uterine Cancers in Female Patients Using a Type 2 Diabetes and Obesity Patient Collected Data Over 12+ Years From 1/1/2010 To 4/23/2022 With 5 Gender-Independent Generic Cancer risk factors, i.e., Obesity, Diabetes, Lipids, Diet, and Exercise to Validate the Suitability of VGT Tool for Gynecological Cancer Study Based on GH-Method: Math-Physical Medicine (No. 655)

Journal of Tumor Science Research, 2022
A family member of the author was recently diagnosed with ovarian and uterine cancer which piqued his interest in understanding more about this subject. To date, he has read numerous published articles regarding this topic. Although the majority of these research papers utilize statistical data analysis tools to draw their observed conclusions, they ...
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Keynes’s Methodology of Criticism: Probability and Classical Economic Theory. Logical Fallacies: The Introduction of the Tacit Assumptions of Homogeneity and Independence

2021
This chapter deals with Keynes’s actual way of criticising the classical economic theory compared with his own way of reasoning in A Treatise on Money and the General Theory. This chapter shows the persistence, continuity and coherence of Keynes’s methodological approach in the search for logical fallacies and tacit assumptions.
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Discussion the Teaching Methods Reform on “Probability Theory and Mathematical Statistics” of Independent College

2013
Independent College is a new school model of Higher Education in our country, how to train students to adapt to the needs of society is its urgent problem. From the practical teaching, this paper analyzes the current situation and point out the problems on Probability theory and Mathematical Statistics in Independent Colleges, and proposes a solution ...
Xiaohong Liu, Qilei Feng, Yongli Zhang, Yankun Li   +3 more
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