Statistical Estimation

Confidence intervals

2 Confidence Interval

Published:
Category: { Statistical Estimation }
References: - Schaum's Outline of Theories and Problems of Elements of Statistics II, by Ruth Bernstein and Stephen Bernstein. Chapter 13, 14
Summary: Estimates from a sample can be entitled a confidence interval
Pages: 2

1 Why Estimation Theory

Published:
Category: { Statistical Estimation }
References: - Schaum's Outline of Theories and Problems of Elements of Statistics II, by Ruth Bernstein and Stephen Bernstein
Summary: In statistics, we work with samples. For example, the sample mean is easily calculated. However, it is the population mean that is more valuable. Suppose we have one sample $S_i$, which is used to calculate the mean of the sample $\mu_i$. We have two key problems to solve at this moment. Can we use this sample mean $\mu_i$ to represent the population mean $\mu_p$? How good is our estimations? To answer these questions, we need to work out the properties of the samples themselves and work out a theory to instruct us to infer population statistics from sample statistics.
Pages: 2