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Some Practical Techniques in Serial Number Analysis
Leo A. Goodman
Journal of the American Statistical Association
Vol. 49, No. 265 (Mar., 1954), pp. 97-112
Stable URL: http://www.jstor.org/stable/2281038
Page Count: 16
You can always find the topics here!Topics: Confidence interval, Sample size, Randomness, Null hypothesis, Analytical estimating, Production estimates, Unbiased estimators, Numberings, Logical givens, Interval estimators
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The problem discussed is that of sampling from continuous and discrete uniform distributions. An application of this problem is presented which deals with the analysis of serial numbers on manufactured items in order to estimate the total number of items manufactured. Estimates of bounded relative error are obtained. Some justification for the use of these estimates is presented from the loss (cost) function point of view. Confidence intervals for the parameters are obtained and graphs are presented which may be used to determine the sample size required for confidence intervals of a given expected relative length. Tests of hypotheses are discussed. A method is presented for determining whether the serial numbers obtained are a random sample from a population of consecutive serial numbers.^1
Journal of the American Statistical Association © 1954 American Statistical Association