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Sums of independent fuzzy random variables
Fuzzy Sets and Systems, 2001The paper deals with almost-sure-convergence of sums of independent fuzzy random variables. Via support functions, the fuzzy number space can be embedded as a cone into a Banach space and convergence results of Banach-space-valued random variables can be used (similarly to earlier papers by Klement/Puri/Ralescu and Körner). The author especially proves
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Convergence of Moments of Random Sums of Independent Random Variables
Theory of Probability & Its Applications, 1986Translation from Teor. Veroyatn. Primen. 30, No.2, 361-364 (Russian) (1985; Zbl 0572.60034).
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Japanese Journal of Statistics and Data Science, 2020
Masato Kitani, H. Murakami
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Masato Kitani, H. Murakami
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On Symmetric Sum of Sub-Independent Random Variables
Calcutta Statistical Association Bulletin, 1995This note is intended to complement the interesting work of J. Behboodian (1989, 1 heorems 1 and 2) on the symmetry of the sum of independent random variables. We recall a concept, which is much weaker than independence, but can replace the assumption of independence in the above mentioned results as well as in many important theorems in Probability ...
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Note on “sums of independent fuzzy random variables”
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comparing sums of independent bounded random variables and sums of Bernoulli random variables
Statistics & Probability Letters, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Probability Inequalities for the Sum of Independent Random Variables
, 1962G. Bennett
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Sums of Independent Random Variables.
Journal of the Royal Statistical Society. Series A (General), 1976A. D. Barbour, V. V. Petrov, A. A. Brown
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