WebQuantifying the risk carried by an aggregate position Sd := ∑d i=1Xi comprising many risk factors Xi is fundamental to both insurance and financial risk management. Fréchet … WebIn probabilistic logic, the Fréchet inequalities, also known as the Boole–Fréchet inequalities, are rules implicit in the work of George Boole and explicitly derived by Maurice Fréchet that govern the combination of probabilities about logical propositions or events logically linked together in conjunctions (AND operations) or disjunctions (OR operations) …
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WebSándor : On the Ky Fan inequality and related inequalities I . Mathematical Inequalities & Applications . Mathematical Inequalities & Applications . Volume 5 , ... WebApr 12, 2024 · An Alternative Proof of Gauss’s Inequalities. A clear formulation of two Gauss’s inequalities is given, and their transparent proof based on the well-known fundamental results is presented. A simple method of constructing a partition of the parameter domain of the problem is proposed. An explicit form of the extreme distribution … thermospeed controller
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WebDec 27, 2024 · In this paper, we consider the generalized mixed variational-like inequality problem (in brief, GMVLIP): find such thatwhere and ,be bifunction and trifunction, respectively, and be the set of real numbers. Sol (GMVLIP equation (1)) stands for the solution of equation (1). WebIn probability theory, Hoeffding's inequality provides an upper bound on the probability that the sum of bounded independent random variables deviates from its expected value by more than a certain amount. Hoeffding's inequality was … WebOct 1, 2012 · Therefore, the result in Theorem 1 is tight in the sense that this inequality can be saturated for some metric spaces. By contrast, the inequality is strict in the Euclidean … thermo spectronic genesys