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Avoiding subtraction and division of stochastic signals using normalizing flows: NFdeconvolve. [PDF]
Pessoa P +6 more
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Machine learning analysis of Iran's wildfire landscape and anthropogenic influences. [PDF]
Sadra N +5 more
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Utility of <sup>18</sup>F-Florzolotau PET as a prognostic and monitoring biomarker in a memory clinic cohort. [PDF]
Lu J +23 more
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Sums of Independent Random Variables
2010The classical large-sample theory is about the sum of independent random variables. Even though large-sample techniques have expanded well beyond the classical theory, the foundation set up by the latter remains the best way to understand and further explore elements of large-sample theory.
Jiming Jiang
semanticscholar +3 more sources
Journal of Applied Analysis, 2023
In this paper, the joint distribution of the sum and maximum of independent, not necessarily identically distributed, nonnegative random variables is studied for two cases: (i) continuous and (ii) discrete random variables.
Christos N. Efrem
semanticscholar +1 more source
In this paper, the joint distribution of the sum and maximum of independent, not necessarily identically distributed, nonnegative random variables is studied for two cases: (i) continuous and (ii) discrete random variables.
Christos N. Efrem
semanticscholar +1 more source
ASTIN Bulletin: The Journal of the International Actuarial Association
The conditional expectation $m_{X}(s)=\mathrm{E}[X|S=s]$ , where X and Y are two independent random variables with $S=X+Y$ , plays a key role in various actuarial applications. For instance, considering the conditional mean risk-sharing rule, $m_X(s)
Michel Denuit +2 more
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The conditional expectation $m_{X}(s)=\mathrm{E}[X|S=s]$ , where X and Y are two independent random variables with $S=X+Y$ , plays a key role in various actuarial applications. For instance, considering the conditional mean risk-sharing rule, $m_X(s)
Michel Denuit +2 more
semanticscholar +1 more source
Sums of Independent Random Variables
1991Sums of independent random variables already appeared in the preceding chapters in some concrete situations (Gaussian and Rademacher averages, representation of stable random variables). On the intuitive basis of central limit theorems which approximate normalized sums of independent random variables by smooth limiting distributions (Gaussian, stable),
Michel Ledoux, Michel Talagrand
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