31. In a repeated measures design it is possible to partition subject variability from the treatment and error terms . 32. This prevents the filter from commuting with derivatives, and the commutation operation leads to several additional error terms : 33. Instrumental variables estimates are generally inconsistent if the instruments are correlated with the error term in the equation of interest. 34. Where is the th error term which is normally small for suitable values of and depends on,,, and. 35. For example, as statistical offices improve their data, measurement error decreases, so the error term declines over time. 36. Developments within analytic number theory are often refinements of earlier techniques, which reduce the error terms and widen their applicability. 37. Note that if two error terms are iid logistic, which is the basis for the equivalence of the two specifications. 38. The problem in autocorrelation, often found in time series data, is that the error terms are correlated over time. 39. Usually some specific distribution assumption on the error term is imposed, such that the parameter \ beta is estimated parametrically. 40. The parametric model is convenient for computation but might not be consistent once the distribution of the error term is misspecified.
