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Estimation and confidence intervals
1997In Chapter 7 we looked at the properties of a sampling distribution of sample means. This sampling distribution has three very important properties: The mean of the sampling distribution is equal to the population mean: $$ {\mu _{\bar X}} = \mu $$
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Nonparametric Bayesian Interval Estimation
Biometrika, 1979SUMMARY Bayesian confidence bands for a distribution function are converted into confidence intervals for specified population quantiles and also for the mean. Bayesian tolerance limits are similarly constructed.
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Confidence interval estimation
1989Suppose we take a random sample of 50 from the population of the heights of all first-year students in higher education, and we find that the sample mean height is \(\bar x\) = 171.2 cm.
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2011
One of the primary objectives of inferential statistics is estimation of population characteristics (descriptors) on the basis of limited information contained in a sample. The population descriptors are formalized by a statistical model, which can be postulated at various levels of specificity: a broad class of models, a parametric family, or a fully ...
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One of the primary objectives of inferential statistics is estimation of population characteristics (descriptors) on the basis of limited information contained in a sample. The population descriptors are formalized by a statistical model, which can be postulated at various levels of specificity: a broad class of models, a parametric family, or a fully ...
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, 2011