INTRODUCTION Reliability or its square root, accuracy, is often reported by breeding organizations and required by Interbull along with estimated breeding values. In theory, reliability is calculated as a function of genetic variance and elements of the inverse of the coefficient matrix of the mixed model equations that are used to estimate breeding values. In practice, approximation methods ar...

Both the Doob-Meyer and the Graversen-Rao decomposition theorems can be proved following an approach based on predictable compensators of discretizations and weak-L technique, which was developed by K.M. Rao. It is shown that any decomposition obtained by Rao’s method gives predictability of compensators without additional assumptions (like submartingality in the original Doob-Meyer theorem or ...

A screening experiment focuses on narrowing down the factors that affect experimental results. To deal with increased number of runs due to an increase in caused by product diversification, a was applied two-level supersaturated design.