Journal of the Korean Statistical Society
- 제12권2호
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- Pages.69-80
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- 1983
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- 1226-3192(pISSN)
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- 2005-2863(eISSN)
Estimation of the Scale Parameter in the Weibull Distribution Based on the Quasi-range
초록
The purpose of this paper is to obtain representation of the mathematical special functions and the numerical values of the mean square errors for the quasi-ranges in random small smaples ($n \leq 30$) from the Weibull distribution with a shape and a scale parameters, and to estimate the scale parameter by use of unbiased estimator based on the quasi-range. It will be shown that the jackknife estimator of the range is worse than the range of random samples from the given distribution in the sense of the mean square error.
키워드