Linear estimates of a population scale parameter
总体尺度参数的线性估计
Downton (1966) proposed an estimator, σ*, for σ, the standard deviation of a normal population. This estimator is a simple linear combination of the order statistics of a sample from the population. In the present paper, four moments of σ* are given in closed form and the use of Y = (μ − μo)/σ* is investigated as a possible competitor to the usual Student‘s test on the location of the normal population. It is shown that a test based on Y is almost as powerful as Student’s…