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305 articles for “probability”
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Research ArticleOpen accessEvery word in the titleBuilding Probability Functions by Persian CurveAbdolrasoul Ranjbaran, Mohammad Ranjbaran, Fatema RanjbaranConstruction of a probability function for a given random data is the main theme of several branches of human knowledge, where it is an active area of study. In spite of great developments, the solution needs extensive effort and the results contain epistemic uncertainty. In this study, making use of the logical reasoning and concise mathematical logics, a method called … …International Journal of Structural Glass and Advanced Materials Research, Vol. 4, Issue 1 · 31 Oct 2020 · 8,154 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFormalizing Probability Concepts in a Type TheoryFarida KachapovaIn this paper we formalize some fundamental concepts of probability theory such as the axiomatic definition of probability space, random variables and their characteristics, in the Calculus of Inductive Constructions, which is a variant of type theory and the foundation for the proof assistant COQ. In a type theory every term and proposition should have a type, so in our … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 12 Nov 2018 · 8,547 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Complex Probability Paradigm and Analytic Linear Prognostic for Vehicle Suspension SystemsAbdo Abou JaoudeThe Andrey N. Kolmogorov's system of axioms can be extended to encompass the imaginary set of numbers and this by adding to his original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C which is the sum of the real set R with its corresponding real probability and … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 22 Apr 2015 · 7,474 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA BIVARIATE PROBABILITY MODEL TO IDENTIFY "HONESTY" VERSUS "CHEATING" IN ECONOMIC SURVEYS: XENOPHOBIA IS ILLUSTRATEDRamalingam ShanmugamMaking successful policies for manufacturing or globalized business sectors require "honest" answers by the respondents in the surveys. When some respondents cheat in their answers to the questions in a survey for a variety of reasons, the survey results become useless. Currently, there is no appropriate probability model to address this phenomenon "cheating" in a survey. An efficient methodology is … …American Journal of Economics and Business Administration, Vol. 6, Issue 1 · 18 Jun 2014 · 6,849 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleCOMPLEX PROBABILITY THEORY AND PROGNOSTICAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 9 Dec 2013 · 7,586 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTHE THEORY OF COMPLEX PROBABILITY AND THE FIRST ORDER RELIABILITY METHODAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 6,903 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Probability and the Asymptotic Distribution Functions of Increasing Ordered Statistical DataA. A. El-Faheem, Eman A. MahmoudProblem statement: We considered two types of sequences of ordered statistical discrete data i1, i2…in, 1≤i1≤ i2≤… in≤n and ij = 1,2,…,n, j = 1,2,…,n. The first type is the order statistics of a sample of size n taken from the uniform discrete distribution on the set S = {1,2,…,n}, n ∈ N+. The other type is the increasing ordered … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,290 accessesView PDFCite
Research ArticleOpen accessEvery word in the titlePerformance of Unequal Error Protection Using Maximum A- posteriori Probability Algorithm and Modified MAP in Additive White Gaussian Noise and Fading ChannelT. Gnanasekaran, K. DuraiswamyProblem statement: In this study we propose a method to improve the performance of Maximum A-Posteriori Probability Algorithm, which is used in turbo decoder. Previously the performance of turbo decoder is improved by means of scaling the channel reliability value. Approach: A modification in MAP algorithm proposed in this study, which achieves further improvement in forward error correction by means … …Journal of Computer Science, Vol. 4, Issue 7 · 31 Jul 2008 · 6,686 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn the Probability Density Function of the Test Statistic for One Nonlinear GLR Detector Arising from fMRIFangyuan NanRecently an important and interesting nonlinear generalized likelihood ratio (GLR) detector emerged in functional magnetic resonance imaging (fMRI) data processing. However, the study of that detector is incomplete: the probability density function (pdf) of the test statistic was draw from numerical simulations without much theoretical support and is therefore, not firmly grounded. This correspondence presents more accurate (asymptotic) closed form … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 7,106 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleComparison of Probability Curves Obtained from 2 Quantitative Allergen-specific IgE Assays: FEIA and 3gAllergyTMT. M. Li, T. Chuang, S. M. Li, D. Hovanec-BurnsThe validity and benefit of probability curves in allergen-specific IgE (sIgE) testing and their applicability to more than a few allergens are still pending. One study[1] presented probability curves for 4 food allergens and proposed decision points to rule out the need for food challenges in his clinic. Since then, such cutoffs were reported by Boyano-Martinez[2] to be dependent on … …American Journal of Immunology, Vol. 1, Issue 2 · 30 Jun 2005 · 6,737 accessesView PDFCite