Abstract
The origin of simultaneous estimation of parameters can be traced to the papers by Fairfield Smith, Hazel, and Panse on the construction of selection indices in genetics based on a method proposed by R.A. Fisher. This chapter discusses the method of constructing a specific type of empirical regression estimate. Further work in this direction considering more general situations was done by Henderson. The empirical Bayes estimation procedure suggested by Robbins is analogous to Fisher's method used in a more general context. The chapter discusses the problem of simultaneous prediction and estimation. It also describes direct and inverse regression estimates.
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