Correction to: Vertical and Horizontal Inequality in Ecuador: The Lack of Sustainability

Social Indicators Research - The article Vertical and Horizontal Inequality in Ecuador: The Lack of Sustainability, written Ivan Gachet, Diego F. Grijalva, Paúl A. Ponce and Damián...     

The Rayleigh–Lindley model: properties and applications

In this paper, the Rayleigh–Lindley (RL) distribution is introduced, obtained by compounding the Rayleigh and Lindley discrete distributions, where the compounding procedure follows an approach similar to the one previously studied by Adamidis and Loukas in some other contexts. The resulting distribution is a two-parameter model, which is competitive with other parsimonious models such as the gamma and Weibull distributions. We study some properties of this new model such as the moments and the mean residual life. The estimation was approached via EM algorithm. The behavior of these estimators was studied in finite samples through a simulation study. Finally, we report two real data illustrations in order to show the performance of the proposed model versus other common two-parameter models in the literature. The main conclusion is that the model proposed can be a valid alternative to other competing models well established in the literature.     

Imperfect Detection of Tax Evasion in a Corrupt Tax Administration

This article models the imperfect detection of tax evasion motivated by the existence of a corrupt tax administration. Consistent with previous literature, fines and audit probabilities both have a positive effect on compliance. Moreover, the model shows that they have a negative effect on the bribes paid to corrupt tax officials. More corruption decreases compliance levels, giving honest auditors incentives to work harder to detect evasion. Giving inspectors a share of the detected evasion (tax farming) makes auditors work harder; however, increasing their wages reduces their exerted effort to discover evasion. Higher compliance can as well be achieved by hiring more efficient inspectors.     

Can complementary pension plans help improve retirement income in the Dominican Republic?

In the 1990s, following the earlier example of Chile, pension system reforms were implemented in a number of Latin American and other countries. These reforms focused on introducing models of pension provision that were fully‐funded and privately managed. Although aspects of these reforms have been positive, for many persons covered by these systems retirement income is not adequate. The development of occupational pension plans may offer an alternative, complementary mechanism to help improve pension adequacy. This article discusses different complementary pension plan models and examines the case of the Dominican Republic. It argues that complementary occupational pension plans may be a viable policy option for this developing country.     

A clustering cure rate model with application to a sealant study

In this paper, the destructive negative binomial (DNB) cure rate model with a latent activation scheme [V. Cancho, D. Bandyopadhyay, F. Louzada, and B. Yiqi, The DNB cure rate model with a latent activation scheme, Statistical Methodology 13 (2013b), pp. 48–68] is extended to the case where the observations are grouped into clusters. Parameter estimation is performed based on the restricted maximum likelihood approach and on a Bayesian approach based on Dirichlet process priors. An application to a real data set related to a sealant study in a dentistry experiment is considered to illustrate the performance of the proposed model.     

A Novel Approach to Evaluate Repeatability and Reproducibility for Ordinal Data

We propose a novel usage of CUB models in order to evaluate Repeatability and Reproducibility (R&R) for ordinal data in business and industrial experiments. This is a context where there is a small group of appraisers who have to evaluate a sample of objects classifying them according to ordinal categories. By comparing the cumulative distribution functions obtained fitting CUB models to judgments given by appraisers, we give both graphical and analytical instruments to assess R&R for an ordinal measurement system. The approach is applied to the real-life example reported in de Mast and van Wieringen (2010 de Mast , J. , van Wieringen , W. N. ( 2010 ). Modeling and evaluating repeatibility and reproducibility of ordinal classifications . Technometrics 52 : 94 – 106 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]).     

A flexible cure rate model based on the polylogarithm distribution

Models for dealing with survival data in the presence of a cured fraction of individuals have attracted the attention of many researchers and practitioners in recent years. In this paper, we propose a cure rate model under the competing risks scenario. For the number of causes that can lead to the event of interest, we assume the polylogarithm distribution. The model is flexible in the sense it encompasses some well-known models, which can be tested using large sample test statistics applied to nested models. Maximum-likelihood estimation based on the EM algorithm and hypothesis testing are investigated. Results of simulation studies designed to gauge the performance of the estimation method and of two test statistics are reported. The methodology is applied in the analysis of a data set.     

Heterogeneous credit union production technologies with endogenous switching and correlated effects

Credit unions differ in the types of financial services they offer to their members. This article explicitly models this observed heterogeneity using a generalized model of endogenous ordered switching. Our approach captures the endogenous choice that credit unions make when adding new products to their financial services mix. The model that we consider also allows for the dependence between unobserved effects and regressors in both the selection and outcome equations and can accommodate the presence of predetermined covariates in the model. We use this model to estimate returns to scale for U.S. retail credit unions from 1996 to 2011. We document strong evidence of persistent technological heterogeneity among credit unions offering different financial service mixes, which, if ignored, can produce quite misleading results. Employing our model, we find that credit unions of all types exhibit substantial economies of scale.