The regression problem involving non-random variates in the case of stratified sample from normal parent populations with varying regression coefficients
Martin Weibull · Scandinavian Actuarial Journal · 1951
1. Introduction. A sample of N independently observed points (xo 1 | x11 , x21 ,... , xpt ), i = 1, 2, ... , N≥ p is given, where xk, k = 1, 2, ... , p are known, possibly choosable, non-random variates. Suppose now that, for any fixed values of x1 , x2 ..., xp the random variable o is normally distributed with the mean and the variance λo α x and λo are unknown parameters, not involving xk, the regression coefficients and the residual variance of the parent population respectively.