Best Linear Unbiased Estimator of the Parameter of the Rayleigh Distribution - Part I: Small Sample Theory for Censored Order Statistics

The best linear unbiased estimator of the parameter of the Rayleigh distribution using order statistics in a Type II censored sample from a potential sample of size N is considered. The coefficients for this estimator are tabled to five decimal places for N = 2(1)15 and censoring values of r
₁
, (the number of observations censored from the left) and r
₂
(the number of observations censored from the right) such that r
₁
+ r
₂
⩽ N - 2 for N = 2(1)10, r
₁
+ r
₂
⩽ N - 3 for N = 11(1)15.