Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model

Table 3

Estimated QB values of the 𝛽_SRRE(𝑘),  𝛽_𝑅(𝑘,𝑤),  𝛽_SRLE(𝑑), and  𝛽_𝐿(𝑑,𝑤) when  𝜌=0.99,0.999.

𝑘/𝑑	0.1	0.2	0.5	0.8	0.99
𝜌=0.99
𝛽SRRE(𝑘)	0.0059443	0.0236735	0.1460404	0.3690512	0.5605782
𝛽𝑅(𝑘,𝑤)	3.0509𝑒−08	4.8337𝑒−07	1.8336𝑒−05	0.0001167	0.0002687
𝛽SRLE(𝑑)	0.4630895	0.3658979	0.1429289	0.0228686	5.7171𝑒−05
𝛽𝐿(𝑑,𝑤)	0.0001834	0.0001145	1.7472𝑒−05	4.4728𝑒−07	2.7955𝑒−12
𝜌=0.999
𝛽SRRE(𝑘)	0.0081916	0.0325987	0.2006468	0.5059226	0.7674195
𝛽𝑅(𝑘,𝑤)	5.7930𝑒−08	9.1625𝑒−07	3.4582𝑒−05	0.0002190	0.0005028
𝛽SRLE(𝑑)	0.6339137	0.5008701	0.1956524	0.0313043	7.8260𝑒−05
𝛽𝐿(𝑑,𝑤)	0.0003430	0.0002141	3.2682𝑒−05	8.3667𝑒−07	5.2292𝑒−12