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DS438UNCLASSIFIED/EA CONVERGENCE OF SUMS OF NO VIN AV ESITH ALPHASTABLE DOMAIN OF (U) NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS F ABRAM JUN 87 TRi9i F/G 12/3 AFOSRTR87it87 F4962885C8144SEEMSNL11111_!.
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How to fill out weak convergence of sums

01
Compute the characteristic function of the sum of random variables.
02
Take the limit as the number of random variables in the sum goes to infinity.
03
Check if the limit converges to the characteristic function of a random variable.

Who needs weak convergence of sums?

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Statisticians
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Econometricians
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Mathematicians working with limit theorems
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Weak convergence of sums refers to the convergence of the sums of random variables to a limit in distribution.
Researchers, statisticians, and analysts who are working with probability theory and statistics may be required to study or report on weak convergence of sums.
To fill out weak convergence of sums, one needs to calculate the sums of random variables and analyze their convergence properties.
The purpose of studying weak convergence of sums is to understand how the sums of random variables behave and converge to a limit.
Information such as the random variables involved, their distributions, and the limits of their sums must be reported on weak convergence of sums.
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