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Biometrika 1971 58(2):396-398; doi:10.1093/biomet/58.2.396
© 1971 by Biometrika Trust
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MISCELLANEA

Error of the normal approximation to the. sum of N random variables

R. SHERMAN

Bell Telephone Laboratories, Whippany, New Jersey

A bound on the mairimiitn value of the difference between the normal distribution function and the distribution function of the normalized sum of N independent, identically distributed, rectangular random variables is given. This bound is compared with other bounding expressions and with the maximum difference obtained numerically.

Key Words: Central limit theorem • Sums of rectangular random variables • Bounds on error in asymptotic expansions


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