Journal of the Japan Statistical Society, Japanese Issue
Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602
THE SHORTEST INVARIANT PREDICTION INTERVAL FOR THE LARGEST OBSERVATION FROM THE EXPONENTIAL DISTRIBUTION
Yoshikazu Takada
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1980 Volume 9 Issue 2 Pages 87-91

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Abstract
This paper deals with obtaining the shortest invariant prediction interval for the largest observation Xn in an ordered sample of size n from the exponential distribution where the first m observations X1<X2<…<Xm, 1≤-m<n, have been observed. The interval is based on the statistics Z=(Xn-Xm)/S, where S=_??_Xi+(n-m)Xm.
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