左删失监测数据下对数正态总体均值的近似置信限
Approximate Confidence Limits of the Lognormal Mean from Left-Censored Samples

作者: 许家清 :;

关键词: 对数正态分布左删失数据极大似然估计渐近置信限Log-Normal Distributions Left-Censored Samples Maximum Likelihood Estimate Approximate Confidence Limits

摘要: 文章讨论了在对数正态总体下,当环境监测数据为左删失时未知参数的极大似然估计,总体均值的渐近置信限和检验统计量,并通过计算机模拟验证了方法的可行性,同时给出了一个实际例子。

Abstract: Log-Normal Distributions; Left-Censored Samples; Maximum Likelihood Estimate; Approximate Confidence Limits

文章引用: 许家清 (2011) 左删失监测数据下对数正态总体均值的近似置信限。 环境保护前沿, 1, 20-23. doi: 10.12677/aep.2011.12004

参考文献

[1] R. J. Gilliom, D. R. Helsel. Estimation of distributional parameters for censored trace level water quality data: 1. Estimation techni- ques. Water Resources Research, 1986, 22(2): 135-146.

[2] D. R. Helsel, R. M. Hirsch. Statistical methods in water resour- ces. New York: Elsevier, 1988.

[3] A. P. Dempster, N. M. Laird and D. B. Rubin. Maximum like- lihood from incomplete data via the EM algorithm. The Journal of Royal Statistical Society, 1977, 39(1): 1-38.

[4] C. Cohen Jr. On the solution of estimating equations for truncated and censored samples from normal populations. Biometrika, 1957, 44(1-2): 225-236.

[5] R. J. Serfling. Approximation theorems of mathematical sta- tistics. New York: John Wiley & Sons, Inc., 1980.

[6] A. El-Makarim, A. Aboueissa. Maximum likelihood estimators of population parameters from multiply censored samples. Environ- metrics, 2009, 20: 312-330.

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