These notes demonstrate how one can define optimization problems whose solutions can be interpreted as the Delta and the Fieller confidence intervals for a ratio of normally distributed parameter estimates. Also included in these notes are the details of the derivation of the slope of a...

These notes demonstrate how one can define optimization problems whose solutions can be interpreted as the Delta and the Fieller confidence intervals for a ratio of normally distributed parameter estimates. Also included in these notes are the details of the derivation of the slope of a...

Quadratic functions are often used in regression to infer the existence of an extremum in a relationship although tests of the location of the extremum are rarely performed. We investigate the construction of the following confidence intervals: Delta, Fieller, estimated first derivative,...

Elasticities are often estimated from the results of demand analysis however, drawing inferences from them may involve assumptions that could influence the outcome. In this paper we investigate one of the most common forms of elasticity which is defined as a ratio of estimated relationships and...

Regression specifications in applied econometrics frequently employ regressors that are defined as the product of two other regressors to form an interaction. Unfortunately, the interpretation of the results of these models is not as straight forward as in the linear case. In this paper, we...

Regression specifications frequently employ regressors that are defined as the product of two other regressors to form an interaction. Unfortunately, these models have a number of potential difficulties when it comes to interpretation. In this paper, we discuss two common aspects of these...

The Fieller Method for the construction of confidence intervals for ratios of the expected value of two normally distributed random variables has been shown by a number of authors to be a superior method to the delta approximation. However, it is not widely used due in part, to the tendency to...