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Estimating the Means and Standard Deviation from Two Censored Normal Samples

由两个删失正态样本估计均值和共同标准差

Simple estimators of the means and the common standard deviation of two normal populations areobtained from Type II censored samples. A t test is proposed for testing the equality of the two population means.

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Monte Carlo study of some simple estimators in censored normal samples

删失正态样本中若干简单估计量的蒙特卡洛研究

The results are presented of a Monte Carlo investigation into the small sample properties of simple estimators of mean and standard deviation calculated from Type II censored normal samples.

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Estimating the Parameters of Log-Normal Distribution from Censored Samples

利用删失样本估计对数正态分布参数

Let g(x) be the ratio of the ordinate and the probability integral of a standardized normal distribution. The local approximation g(x) ≃α + βx is used to derive estimators μc, σc and τc of the parameters of a log-normal distribution, from a type II censored sample. The asymptotic variances and covariances of these estimators are obtained. The estimators are shown to be asymptotically as efficient as the maximum likelihood estimators. Numerical example is presented to give an…

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Estimating the mean and standard deviation from a censored normal sample

删失正态样本中均值与标准差的估计

SUMMARY The relation g(x) -c- + fx, where g(x) is the ratio of the ordinate and the probability integral of a normal distribution, is used to derive estimators ,uc and oc of the population mean and standard deviation, from a censored normal sample. These estimators are easy to compute. For symmetrical censoring ,uc is unbiased and for moderate censoring the bias in both ,c and oc is small. In terms of efficiency, ,c and o-c seem to be as good as the maximum likelihood (M.L.)…

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