KnowraSample meanLinked fromLinked fromThe 9 pages that link to Sample mean, each with the reason it gives.All 9Broader topic 5Related 4Sampling distributionBroader topic: Its sampling distribution is a central example, with behavior governed by population variance and sample size.Law of large numbersBroader topic: The theorem describes how this statistic behaves as the sample grows.Arithmetic meanBroader topic: It uses the same calculation to estimate a population’s average.Strong law of large numbersBroader topic: The theorem tracks this statistic as the number of observations grows.Chebyshev's inequalityRelated: Its variance shrinks with sample size, allowing Chebyshev's inequality to certify concentration.Method of momentsBroader topic: Equating it with the model mean often yields the first parameter estimate.Student's t-distributionRelated: Inference about a population mean is the distribution's classic use.Rao–Blackwell theoremRelated: In common models, conditioning a sample-based estimate on a sufficient statistic yields a function of the sample mean.Basu's theoremRelated: For a normal model with known variance, the sample mean is complete and sufficient for the mean.