Application of bootstrap re-sampling method in statistical measurement of sustainability

Sustainability is of essential interest for many organizations and is defined as the ability to maintain existing resources at a certain rate or level when encountered with barriers. Factors affecting sustainability are categorized as enablers (capacities) and barriers (challenges) that have positive and negative effects on sustainability, respectively. To evaluate the status of sustainability, organizations need a measurement method to account for all the aspects of the sustainability classified into social, economic, and environmental tiers. Previously many researchers have provided indexes and measure specific to the studied field, which is not applicable to other areas. Furthermore, the proposed methods fail to cover all the aspects of sustainability. This study investigates a statistical method to measure the sustainability and the application of the bootstrap re-sampling method in order to overcome the problem with normality assumption when the sample size is not large enough and thus develop a more realistic stochastic model. The Bootstrap re-sampling method enables the unbiased estimation of population parameters such as mean and standard deviation. The proposed method is evaluated by comparing its results with those found in the literature.     

Technical efficiency of mainstream airlines and low-cost carriers: New evidence using bootstrap data envelopment analysis truncated regression

Between 2001 and 2005, the US airline industry faced financial turmoil while the European airline industry entered a period of substantive deregulation. Consequently, this opened up opportunities for low-cost carriers to become more competitive in the market. To assess airline performance and identify the sources of efficiency in the immediate aftermath of these events, we employ a bootstrap data envelopment analysis truncated regression approach. The results suggest that at the time the mainstream airlines needed to significantly reorganize and rescale their operations to remain competitive. In the second-stage analysis, the results indicate that private ownership, status as a low-cost carrier, and improvements in weight load contributed to better organizational efficiency.     

Assessing Variability of Complex Descriptive Statistics in Monte Carlo Studies Using Resampling Methods

Good statistical practice dictates that summaries in Monte Carlo studies should always be accompanied by standard errors. Those standard errors are easy to provide for summaries that are sample means over the replications of the Monte Carlo output: for example, bias estimates, power estimates for tests and mean squared error estimates. But often more complex summaries are of interest: medians (often displayed in boxplots), sample variances, ratios of sample variances and non‐normality measures such as skewness and kurtosis. In principle, standard errors for most of these latter summaries may be derived from the Delta Method, but that extra step is often a barrier for standard errors to be provided. Here, we highlight the simplicity of using the jackknife and bootstrap to compute these standard errors, even when the summaries are somewhat complicated. © 2014 The Authors. International Statistical Review © 2014 International Statistical Institute     

Are stock prices related to the political uncertainty index in OECD countries? Evidence from the bootstrap panel causality test

This study applies the bootstrap panel causality test proposed by Kónya (2006. Econ Modell 23, 978) to investigate the causal link between political uncertainty and stock prices for seven OECD countries over the monthly period of 2001.01 to 2013.04. This modeling approach allows us to examine both cross-sectional dependency and country-specific heterogeneity. Our empirical results indicate that not all the countries are alike and that the theoretical prediction that stock prices fall at the announcement of a policy change is not always supported. Specifically, we find evidence for the stock price leading hypothesis for Italy and Spain, while the political uncertainty leading hypothesis cannot be rejected for the United Kingdom and the United States. In addition, the neutrality hypothesis was supported in the remaining three countries (Canada, France and Germany), while no evidence for the feedback hypothesis was found.     

Household food demand in Turkey: A two-step demand system approach

Demands for sixteen food products are investigated, using data from the Turkish Household Expenditure Survey. The linear approximate almost ideal demand system (LAIDS) is estimated with Shonkwiler and Yen’s two-step procedure. All own-price elasticities are negative and expenditure elasticities positive. Bread, other cereals, bovine, mutton, giblets, and cheese have high expenditure elasticities. Mutton, bovine, and several other protein-rich products are price elastic. Results suggest a mix of gross substitutes and complements, while net substitution is the dominant pattern. Demographic characteristics also play important roles in shaping food demand. The elasticity estimates can inform policy deliberations.     

Testing population variance in case of one sample and the difference of variances in case of two samples: Example of wage and pension data sets in Serbia

Testing one population variance and the difference in variances of two populations based on the ordinary t-statistics combined with the bootstrap method are suggested in this article. Suggested techniques are combined with Hall's transformation approach. Application of presented methods in domain of real economic data set is described and analyzed. We compare the outputs of suggested methods and traditional methods for considered data set. The results show that these introduced methods have small advantages in comparisons with traditional methods especially for small samples.     

Semiparametric diffusion estimation and application to a stock market index

The analysis of diffusion processes in financial models is crucially dependent on the form of the drift and diffusion coefficient functions. A new model for a stock market index process is proposed in which the index is decomposed into an average growth process and an ergodic diffusion. The ergodic diffusion part of the model is not directly observable. A methodology is developed for estimating and testing the coefficient functions of this unobserved diffusion process. The estimation is based on the observations of the index process and uses semiparametric and non-parametric techniques. The testing is performed via the wild bootstrap resampling technique. The method is illustrated on S&P 500 index data.     

What to do with mushroom pickers in my forest? Policy tools from the landowners’ perspective

Wild mushroom picking is a growing recreational and commercial activity. In Spain, wild mushrooms legally belong to the landowner, who seldom benefits from trade in mushrooms or from their recreational value. Cultural aspects (tradition, picker-related harms) and economic aspects (costly forestry works, income opportunities) constitute elements of the debate on how to deal with mushroom picking. Through a survey of private forest owners in Catalonia (north-eastern Spain), this paper examines their experiences with mushroom pickers, the factors shaping their related policy preferences and their willingness to engage in mushroom reserves.The results show broad support for introducing mushroom picking norms. A regulation would allow outsider pickers to enter private land, but only under certain conditions, i.e. to comply with socio-ecological rules of the area. Among respondents who support the regulation, active land owners who report instances of picker-related harm (both tangible and intangible) tend to support the establishment of a fee system which could be reinvested into forest management. That is also the position of the respondents who perceive mushrooms as a private right, i.e. they believe to have a legitimate right to exclude outsider pickers and, eventually, to raise revenues from that asset. On the contrary, forest owners who conceive mushroom picking as a free-access activity prefer neither to regulate it nor to charge fees. The option to establish a mushroom picking reserve depends on the landholder being a fee-supporter and perceiving instances of harm. Harm, instead, is mainly determined by the perception of congestion of pickers, which in turn is determined by the mushroom productivity of their forest, their level of privacy protection and their involvement to the primary sector. These findings help policymakers to better understand the logic and sensitivities of forest owners in view of designing mushroom picking policies that can effectively solve picker-landowner conflicts.     

The Limit Distribution of the Bootstrap for the Unit Root Test Statistic when the Residuals are Dependent

In this article, the unit root test for the AR(1) model with dependent residuals is considered. We adopt a bootstrap procedure to bootstrap the residuals with bootstrap sample size m less than the size n of the original sample. Under the assumptions that m → ∞ and m/n → 0, the convergence in probability of the bootstrap distribution function is established. Research supported by National Natural Science Foundation of China (No. 10471126)