Measuring scale efficiency from a parametric hyperbolic distance function

This paper shows how scale efficiency can be measured from an arbitrary parametric hyperbolic distance function with multiple outputs and multiple inputs. It extends the methods introduced by Ray (J Product Anal 11:183–194, 1998), and Balk (J Product Anal 15:159–183, 2001) and Ray (2003) that measure scale efficiency from a single-output multi-input distance function and from a multi-output and multi-input distance function, respectively. The method developed in the present paper is different from Ray’s and Balk’s in that it allows for simultaneous contraction of inputs and expansion of outputs. Theorems applicable to an arbitrary parametric hyperbolic distance function are introduced first, and then their uses in measuring scale efficiency are illustrated with the translog functional form.     

Union wage effects in Australia: an endogenous switching approach

Using data from the Household and Labour Income Dynamics Australia (HILDA), an endogenous switching model is employed to analyse union wage effects in Australia between 2001 and 2013. An advantage of this approach is that the decision to join a union is treated as potentially endogenous, a function of the wage differential between union and non-union workers, rather than exogenous as is the case in virtually all previous Australian studies. The article finds that the decision to join a union is highly sensitive to the wage differential between union and non-union workers. The article also finds that male (female) union workers with average union characteristics earn 12% (18%) more than male (female) non-union workers with average non-union characteristics. However, a decomposition analysis finds that this difference is due to union workers having better human capital endowments than their non-union counterparts. In addition, they also receive a lower return for those endowments. These decomposition results suggest that union wage effects in Australia may be negative, rather than the small positive effects typically found in the Australian literature.     

The Effects of New Goods and Substitution on the Korean CPI as a Measure of Cost of Living

This paper estimates upper-level substitution and new-goods bias in the Korean Consumer Price Index (CPI) from the early 1990s to the mid 2000s. It has been estimated that the upper-level substitution bias in the CPI alone increased the inflation rate by 0.51 percentage points per year over the 13-year period between 1990 and 2002. The new-goods bias further increased the inflation rate by 0.17 and 0.13 percentage points per year between 1990-1995 and 1995-2000 respectively. The Chained Laspeyres index series that is based on annually-updated weights has been found to correct less than half of the upper-level substitution bias.     

An Exact Index for the CES Function with Unobservable Prices

Introduction of new products into the market place poses a difficult problem for the calculation of a cost-of-living (COL) index. The problem is that the reservation prices of new products in the periods before their introduction are unobservable. This paper introduces a new index number formula that overcomes the problem. It is exact for the constant-elasticity-of-substitution (CES) function. Unlike the one introduced to the literature by Feenstra (1994), for which the elasticity of substitution has to be estimated using a separate econometric model, the new index can be computed by simply substituting available prices and quantities into a known exact functional form. The new index number formula is illustrated with the data used in Feenstra (1994).