Let (X1,Y1),...,(Xp,Yp be i.i.d. random vectors. This paper is concerned with the estimation of E(X1|X1>0) E(Y1|Y1>0). This problem arises naturally in comparing the fishing ability of different vessels. In this case (Xi, Yi) denote the catch per tow of the two vessels at the site i or time i. Due to the highly skewed nature of the distributions of the catches the difference of the average means would not give a realistic idea of the relative fishing power of the vessels.
All Science Journal Classification (ASJC) codes
- Statistics, Probability and Uncertainty
- Applied Mathematics
- Statistics and Probability