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On uniform approximation of Poisson variates by normal ones |
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| Authors: | Judah Rosenblatt D.L. Jackson W.P. Dole W.L. Thompson |
| Affiliation: | University of Texas Medical Branch at Galveston, TX, USA;Case Western Reserve University, Cleveland, OH, USA;Health Sciences Center, San Antonio, TX, USA;Lilly Research Laboratories, Indianapolis, IN, USA |
| Abstract: | In this paper the accuracy of the normal approximation to the Poisson is treated from the viewpoint of direct approximation of Poisson variables by normal ones. The conclusions that are derived on the accuracy of this approximation lead (among others) to very useful results on confidence limits for the mean of a linear combination of independent Poisson variables; these latter are employed in precise determination of the composition of a mixture of radioactive isotopes by means of a scintillation counter. |
| Keywords: | 60E15 60F05 62E04 41-04 41A17 Poisson Normal approximation Central limit theorem |
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