MATH 1202 Lecture Notes - Lecture 5: Bias Of An Estimator, Point Estimation, Royal Institute Of Technology

• School: Saint Mary's University
• Department: Mathematics
• Course: MATH 1202
• Professor: Margaret Mc Kee

Document Summary

Sec 6. 1: some general concepts of point estima- tion: de nition: a point estimate of a parameter is a single number that can be regarded as a sensible value of . A point estimate is obtained by selecting a suitable statistic and computing its value from the given sample data. The selected statistic is called the point estimator of : unbiased estimator: a point estimator is said to be an unbiased estimator of if e( ) = for every possible value of . If is not unbiased, the di erence e( ) is called the bias of : when choosing among several di erent estimator of. , select one that is unbiased: among all estimators of that are unbiased, choose the one that has minimum variance. Is called the minimum variance unbiased estimator (mvue) of . , xn be a random sample from a distri- bution with mean value and variance 2.