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首页> 外文期刊>Journal of statistical computation and simulation >Mean residual weighted versus the length-biased Rayleigh distribution
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Mean residual weighted versus the length-biased Rayleigh distribution

机译：平均剩余加权与长度偏向瑞利分布

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摘要

In some statistical applications, data may not be considered as a random sample of the whole population and some subjects have less probability of belonging to the sample. Consequently, statistical inferences for such data sets, usually yields biased estimation. In such situations, the length-biased version of the original random variable as a special weighted distribution often produces better inferences. An alternative weighted distribution based on the mean residual life is suggested to treat the biasedness. The Rayleigh distribution is applied in many real applications, hence the proposed method of weighting is performed to produce a new lifetime distribution based on the Rayleigh model. In addition, statistical properties of the proposed distribution is investigated. A simulation study and a real data set are prepared to illustrate that the mean residual weighted Rayleigh distribution gives a better fit than the original and also the length-biased Rayleigh distribution.
机译：在某些统计应用中，数据可能不被视为整个人群的随机样本，并且某些对象拥有样本的可能性较小。因此，此类数据集的统计推断通常会产生偏差估计。在这种情况下，原始随机变量的长度偏移版本作为特殊的加权分布通常会产生更好的推断。建议使用基于平均剩余寿命的替代加权分布来处理偏差。瑞利分布已在许多实际应用中得到应用，因​​此，基于瑞利模型，执行了建议的加权方法以产生新的寿命分布。另外，研究了建议分布的统计特性。准备了一个仿真研究和一个真实的数据集，以说明平均残留加权瑞利分布比原始分布和长度偏向瑞利分布具有更好的拟合度。

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