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• W2122617661 abstract "This short note considers how values of ratios of moment generating functions cleanly arise when comparing local approximations to probability functions for convolutions to those resulting through one-step conditioning. In particular, for an independent and identically distributed sequence fXig and a sequence f~ i g which approximates the probability function for the sum P 1<i<n Xi, we compare ~ p i (x) with the expectation E(~ p ii1 (xiX)) for x 2R. It is shown that such approximations for probability functions arising via local limit theorems can difier, signiflcantly, with respect to convolution from the functions themselves. The main result is noteworthy in its simplicity, and raises questions as to possible improvements in approximations via conditional methods. A binomial example is considered." @default.
• W2122617661 created "2016-06-24" @default.
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• W2122617661 date "2008-01-01" @default.
• W2122617661 modified "2023-09-27" @default.
• W2122617661 title "Moment Generating Functions, Local Approximations and One-Step Conditioning" @default.
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• W2122617661 hasPublicationYear "2008" @default.
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