Approximations to extreme tail probabilities for sampling without replacement
Published online by Cambridge University Press: 24 October 2008
Extract
Introduction and summary: In the distribution of the sum of n random variables
for which we suppose , the tail probability will be called an extreme tail probability if the normal approximation
is poor, when is asymptotically normal and n is large. This paper concerns the specialization of (1.1) in which
with a random permutation of nλ ones and n − nλ zeros, that is, in which T is the total for a simple random sample from the population with sampling fraction λ. In this case, we will always write T as Tλ. For brevity, we may write {c1,…, cn} for .
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 3 , November 1969 , pp. 587 - 606
- Copyright
- Copyright © Cambridge Philosophical Society 1969
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