ISSN:
1572-9052
Keywords:
Permutation-invariant stopping rules
;
average sample numbers
;
percentage savings
;
sequential point estimation
;
fixed-width confidence interval
;
normal mean
;
unknown variance
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In the context of sequential (point as well as interval) estimation, a general formulation of permutation-invariant stopping rules is considered. These stopping rules lead to savings in the ASN at the cost of some elevation of the associated risk—a phenomenon which may be attributed to the violation of the sufficiency principle. For the (point and interval) sequential estimation of the mean of a normal distribution, it is shown that such permutation-invariant stopping rules may lead to a substantial saving in the ASN with only a small increase in the associated risk.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00049113
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