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On the Uniformly Minimum Variance Unbiased Estimators of the Variance and its Reciprocal of an Inverse Gaussian Distribution

机译：关于逆高斯分布的方差的一致最小方差无偏估计及其倒数

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摘要

The two-parameter Inverse Gaussian distribution is found to have useful applications in a wide variety of fields. The uniformly minimum variance estimator of its mean is known and is the simple mean. However, no such estimator of the variance is reported in literature. Here the uniformly minimum variance unbiased estimators of the variance and its reciprocal are derived. (Author)

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作者
Korwar, R. M.;
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年度 1979
页码 p.1-10
总页数 10
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Probability density functions; Analysis of variance; Estimates; Bias; Mean; Random variables;

机译：概率密度函数;方差分析;估计;偏差;均值;随机变量;

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1. The uniformly minimum variance unbiased estimator of odds ratio in case–control studies under inverse sampling [J] . Piero Quatto, Antonella Zambon Statistical Papers . 2012,第2期

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2. The uniformly minimum variance unbiased estimator of odds ratio in case–control studies under inverse sampling [J] . Piero Quatto, Antonella Zambon Statistical papers . 2012,第2期

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3. Sampling theorem and efficiency comparison of three local minimum variance unbiased estimators of the mean and variance of the exponential distribution [J] . Guoan Li, Muzhen Li, Guohua Zou Cogent Mathematics . 2018,第1期

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4. Robustness of the Minimum Norm Quadratic Unbiased Estimator of Variance in Terms of Error Distributions [C] . QIU Hongbing, LUO Ji 2008年国际应用统计学术研讨会（2008 International Institute of Applied Statistics Studies）论文集 . 2008

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5. Speech enhancement using a truncated and constrained minimum variance estimator in non-uniform wavelet filterbanks. [D] . Koh, Min-Sung. 2002

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6. An Approximation of the Minimum-Variance Estimator of Heritability Based on Variance Component Analysis [O] . M. Grossman, H. W. Norton 1981

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7. UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATORS OF VARIANCES AND COVARIANCES OF MULTIVARIATE NORMAL DISTRIBUTIONS WITH CYCLIC COVARIANCE MATRICES [O] . Hajime Yamato, Masao Kondo 1993

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On the Uniformly Minimum Variance Unbiased Estimators of the Variance and its Reciprocal of an Inverse Gaussian Distribution

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