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The Shewhart and the Bonferroni-adjustment R and S chart are usually applied to monitor the range and the standard deviation
of a quality characteristic. These charts are used to recognize the process variability of a quality characteristic. The control
limits of these charts are constructed on the assumption that the population follows approximately the normal distribution
with the standard deviation parameter known or unknown. In this article, we establish two new charts based approximately on
the normal distribution. The constant values needed to construct the new control limits are dependent on the sample group
size (k) and the sample subgroup size (n). Additionally, the unknown standard deviation for the proposed approaches is estimated by a uniformly minimum variance unbiased
estimator (UMVUE). This estimator has variance less than that of the estimator used in the Shewhart and Bonferroni approach.
The proposed approaches in the case of the unknown standard deviation, give out-of-control average run length slightly less
than the Shewhart approach and considerably less than the Bonferroni-adjustment approach. 相似文献
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The paper deals with some new indices for ordinal data that arise from sample surveys. Their aim is to measure the degree
of concentration to the “positive” or “negative” answers in a given question. The properties of these indices are examined.
Moreover, methods for constructing confidence limits for the indices are discussed and their performance is evaluated through
an extensive simulation study. Finally, the values of the indices defined and their confidence intervals are calculated for
an example with real data.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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J. Panaretos 《Metrika》1982,29(1):189-194
The damage model was introduced byRao [1963] and is based on the assumption that an original observation is subjected to a destructive process. Rao, examined in detail the case where the distribution of the original observation and the destructive process were Poisson and Binomial respectively with fixed parameters.In this paper we extend the damage model to the case where either the parameter of the Poisson or the parameter of the Binomial is a random variable with a given distribution function (d.f.). 相似文献
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