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September, 1963 Some Applications of the Jirina Sequential Procedure to Observations with Trend
Sam C. Saunders
Ann. Math. Statist. 34(3): 857-865 (September, 1963). DOI: 10.1214/aoms/1177704008


Assume that each random variable of a sequence had a density which is a Polya frequency function of order two. To this sequence we apply the Jirina sequential procedure to determine a tolerance interval. In this paper we find some sufficient conditions on the type of trend permissible for this sequence which enable us to show that when the Jirina procedure is used the sampling will stop sooner and the tolerance interval cover more of the population (in a stochastic sense) than would occur in the case without trend. Similar considerations are shown to hold when the sequences of observations have densities which have non-decreasing hazard rates.


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Sam C. Saunders. "Some Applications of the Jirina Sequential Procedure to Observations with Trend." Ann. Math. Statist. 34 (3) 857 - 865, September, 1963.


Published: September, 1963
First available in Project Euclid: 27 April 2007

zbMATH: 0122.14201
MathSciNet: MR152086
Digital Object Identifier: 10.1214/aoms/1177704008

Rights: Copyright © 1963 Institute of Mathematical Statistics

Vol.34 • No. 3 • September, 1963
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