An Average Derivative Estimation of Stochastic Frontiers

This paper utilizes the average derivative estimation of Stoker (1986) and the pesudo-likelihood estimation of Fan, Li, and Weersink (1996) to estimate a semiparametric stochastic frontier regression, y = g(x) + , where the function g(.)is unknown and is a composite error in a standard setting. The proposed semiparametric method of estimation is applied to data on farmers' credit unions in Taiwan. Empirical results show that the banking services of the farmers' credit unions is subject to economies of scale, but high degree of cost inefficiency in operation.     

A limited information estimator for the multivariate ordinal probit model

A limited information estimator for the multivariate ordinal probit model is developed. The main advantage of the estimator is that even for high dimensional models, the estimation procedure requires the evaluation of bivariate normal integrals only. The proposed estimator also avoids the potential problem of encountering local maxima in the estimation process, which is looming using maximum likelihood. The performance of the limited information estimator is shown by Monte Carlo experiments to be excellent and it is comparable to that of the maximum likelihood estimator. Finally, an application of the limited information multivariate ordinal probit to model the consumption level of cigarette, alcohol and betel nut is presented.     

Consumer Willingness to Pay for Low-Pesticide Fresh Produce in Taiwan

Willingness to pay (WTP) for reductions in health risk associated with consuming pesticide residues on vegetables are estimated using the contingent valuation method with in-person interviews of married females in Taiwan. Estimated median WTP for 25 per cent, 50 per cent and 90 per cent reductions in the risk of developing cancer from consuming pesticide residues on a popular Taiwanese vegetable, bok choy, are estimated as 46 per cent, 56 per cent and 75 per cent of the current price of bok choy, respectively. WTP is significantly related to the scope or magnitude of the risk reduction, although it varies less than proportionately to the risk increment. WTP is also significantly related to measures of consumer preferences for health.     

Estimation and efficiency evaluation of stochastic frontier models with interval dependent variables

Journal of Productivity Analysis - This paper considers the maximum likelihood estimation of a stochastic frontier production function with an interval outcome. We derive an analytical formula for...     

An examination of the cost efficiency of banks in Taiwan and China using the metafrontier cost function

Using the stochastic metafrontier framework of Battese et al. (J Prod Anal 21:91–103, 2004), this study proposes to compare and measure the cost efficiency and cost frontier gap between the banking industry in Taiwan and China. It further identifies environmental variables that determine bank’s cost frontier gap between two countries. Data on 69 sample banks for years 2005–2009 are used in the empirical analysis and inference. The empirical results show that Taiwanese banks have in general the superior cost frontier of production, but inferior cost efficiency of operation than Chinese banks. Private banks in Taiwan have the best cost frontier, whereas foreign banks in China are most cost efficient among all banks in Taiwan and China. The empirical results also reveal that the majority of Taiwanese banks are undersized and that most banks in China are oversized. Finally, the regression results show that the financial market structure, institutional environment, and political development are significant determinants of the cost gap between the cost frontiers of banks in Taiwan and China. Therefore, programs related to changes directed toward a better bank production environment can be initiated to improve the cost technologies of banks in both Taiwan and China.     

A simple closed-form approximation for the cumulative distribution function of the composite error of stochastic frontier models

This paper derives an analytic closed-form formula for the cumulative distribution function (cdf) of the composite error of the stochastic frontier analysis (SFA) model. Since the presence of a cdf is frequently encountered in the likelihood-based analysis with limited-dependent and qualitative variables as elegantly shown in the classic book of Maddala (Limited-dependent and qualitative variables in econometrics. Cambridge University Press, Cambridge, 1983), the proposed methodology is useful in the framework of the stochastic frontier analysis. We apply the formula to the maximum likelihood estimation of the SFA models with a censored dependent variable. The simulations show that the finite sample performance of the maximum likelihood estimator of the censored SFA model is very promising. A simple empirical example on the modeling of reservation wage in Taiwan is illustrated as a potential application of the censored SFA.     

Cultivation Arrangements and the Cost Efficiency of Rice Farming in Taiwan

In this paper, a switching regression model is developed to analyze farmers' choice behavior and cost efficiency in field plowing arrangement in Taiwan. We find that the decision on the choice of plowing arrangement is determined by a cost comparison between self-plowing and hired-service, and other non-cost considerations, such as the availability of family labor and machinery, education level, non-farm income, age, and regional effects. Across a spectrum of farmer characteristics, empirical results indicate a potentially substantial cost-savings by hiring service for field plowing than by self-plowing. Self-plowing farmers also subject to a significant level of cost inefficiency.