方差已经情况下总体均值的估计
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方差已经情况下总体均值的估计 [2023/03/22 05:17] – zhangruihao | 方差已经情况下总体均值的估计 [2024/03/26 03:42] (当前版本) – 2104龚文滕 | ||
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*当(成正态分布的)总体的均值μ和方差σ已知时,容量为n样本均值的分布随之确定,服从均值为μ、方差为σ2/ | *当(成正态分布的)总体的均值μ和方差σ已知时,容量为n样本均值的分布随之确定,服从均值为μ、方差为σ2/ | ||
*根据样本方差均值的分布,可知:1.总体均值μ是样本均值的最佳点估计;2.置信度为1-α的置信区间可由相应z分数确定。 | *根据样本方差均值的分布,可知:1.总体均值μ是样本均值的最佳点估计;2.置信度为1-α的置信区间可由相应z分数确定。 | ||
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+ | **Estimation of population mean with known variance** | ||
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+ | *When the mean μ and variance σ of a normally distributed population are known, the distribution of sample mean with a capacity of n is determined, following a normal distribution of mean μ and variance σ2/n. | ||
+ | *According to the distribution of the mean variance of the sample, it can be concluded that: 1. The population mean μ is the best point estimate of the sample mean; The confidence interval with a confidence level of 1-α can be determined by the corresponding z-score. | ||
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方差已经情况下总体均值的估计.1679462226.txt.gz · 最后更改: 2023/03/22 05:17 由 zhangruihao