Journal of Japan Industrial Management Association
Online ISSN : 2432-9983
Print ISSN : 0386-4812
Single Variables Sampling Plans of the "Point-of-Control" Type Based on Doubly Exponential Distribution with Known Standard Deviation
Kinji TAKAGIYasunhiko HOSONOAtsushi KAYASHIMAIsamu NAKAYAMA
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1994 Volume 45 Issue 2 Pages 98-109

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Abstract
This paper treats two problems I and II on acceptance sampling. Problem I is the design problem of single variables sampling plans of the "point-of-control" type based on doubly exponential distribution with known standard deviation. Problem II is the conversion problem between parameters of two sampling systems, viz., the system of the "point-of-control" type and that of the familiar "two-point specified" type. These two problems are solved by two kinds of solutions A and B, respectively. Solution A is the solution which is based on the sample mean. On the other hand, Solution B is the solution which is based upon an efficient estimator (MVLUE) for mode (location parameter) of the distribution and is making use of c.d.f. of the standardized Pearson's Type III distribution that can approximately represent the OC function of sampling plan in question, The theoretical background of each solution is discussed at some length and its practical procedures are illustrated by an example respectively. Finally, Solution A is compared with Solution B from the various points of view.
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© 1994 Japan Industrial Management Association
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