On some aspects of a generalized alternative zero-inflated logarithmic series distribution

Here, we consider a generalized form of the alternative zero-inflated logarithmic series distribution of Kumar and Riyaz (J. Statist. Comp. Simul., 2015) and study some of its important aspects. The parameters of the distribution are estimated by the method of maximum likelihood and some test procedures are developed for testing the significance of the additional parameter of the model. All these estimation and testing procedures are illustrated with the help of certain real life datasets. A simulation study is also carried out for assessing the performance of the estimators.     

A stratified unrelated question randomized response model using Neyman allocation

This paper applies stratified random sampling using Neyman allocation to Mangat et al. (1992 Mangat, N.S., Singh, R., Singh, S. (1992). An improved unrelated question randomized response strategy. Cal. Stat. Assoc. Bull. 42:277–281.[Crossref] , [Google Scholar]) unrelated question randomized response (RR) strategy for both completely truthful reporting and less than completely truthful reporting. It is shown that, for the prior information given, our new model is more efficient in terms of variance (in the case of completely truthful reporting) and mean square error (in terms of less than completely truthful reporting) than Kim and Elam's (2007 Kim, J.M., Elam, M.E. (2007). A stratified unrelated question randomized response model. Stat. Papers 48:215–233.[Crossref], [Web of Science ®] , [Google Scholar]) model. Numerical illustrations and graphs are also given in support of the present study.     

Bayesian prediction of order statistics with fixed and random sample sizes based on k-record values from Pareto distribution

In this paper, the two-parameter Pareto distribution is considered and the problem of prediction of order statistics from a future sample and that of its geometric mean are discussed. The Bayesian approach is applied to construct predictors based on observed k-record values for the cases when the future sample size is fixed and when it is random. Several Bayesian prediction intervals are derived. Finally, the results of a simulation study and a numerical example are presented for illustrating all the inferential procedures developed here.     

An optional randomized response model for estimating a rare sensitive attribute using Poisson distribution

The crux of this article is to estimate the mean of the number of persons possessing a rare sensitive attribute based on the Mangat (1991 Mangat, N.S. (1991). An optional randomized response sampling technique using non–stigmatized attribute. Statistica. 51(4):595–602. [Google Scholar]) randomization device by utilizing the Poisson distribution in simple random sampling and stratified sampling. Properties of the proposed randomized response (RR) model have been studied along with recommendations. It is also shown that the proposed model is more efficient than that of Land et al. (2011 Land, M., Singh, S., Sedory, S.A. (2011). Estimation of a rare attribute using Poisson distribution. Statistics. 46(3):351–360.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) in simple random sampling and that of Lee et al. (2013 Lee, G.S., Uhm, D., Kim, J.M. (2013). Estimation of a rare sensitive attribute in stratified sampling using Poisson distribution. Statistics. 47(3):575–589.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) in stratified random sampling when the proportion of persons possessing a rare unrelated attribute is known. Numerical illustrations are also given in support of the present study.     

Slashed generalized Rayleigh distribution

We introduce a new family of distributions suitable for fitting positive data sets with high kurtosis which is called the Slashed Generalized Rayleigh Distribution. This distribution arises as the quotient of two independent random variables, one being a generalized Rayleigh distribution in the numerator and the other a power of the uniform distribution in the denominator. We present properties and carry out estimation of the model parameters by moment and maximum likelihood (ML) methods. Finally, we conduct a small simulation study to evaluate the performance of ML estimators and analyze real data sets to illustrate the usefulness of the new model.     

Gamma-Maxwell distribution

A new two-parameter distribution, the gamma-Maxwell distribution, isproposed and studied. We generate the new distribution using the gamma-G generator of distributions. The proposal distribution can be seen as an extension of the Maxwell distribution with more flexibility in terms of the distribution asymmetry and kurtosis. We study some probability properties, discuss maximum-likelihood estimation and present a real data application indicating that the new distribution can improve the ordinary Maxwell distribution in fitting real data.     

Asymptotic inference in poverty indices: an empirical processes approach

We derive an empirical poverty index containing most of those proposed in the literature. Then, we study its asymptotic behavior by using empirical processes theory. From the results obtained, we derive a Wald-type test for comparing a vector of theoretical poverty indices to a vector of reference indices. We study the test statistic under the null hypothesis of equality, fixed alternatives, and a sequence of local alternatives. A simulation experiment conducted shows that our test performs well for exponential and Pareto data.     

Does Viewing Pornography Diminish Religiosity Over Time? Evidence From Two-Wave Panel Data

Research consistently shows a negative association between religiosity and viewing pornography. While scholars typically assume that greater religiosity leads to less frequent pornography use, none have empirically examined whether the reverse could be true: that greater pornography use may lead to lower levels of religiosity over time. I tested for this possibility using two waves of the nationally representative Portraits of American Life Study (PALS). Persons who viewed pornography at all at Wave 1 reported more religious doubt, lower religious salience, and lower prayer frequency at Wave 2 compared to those who never viewed porn. Considering the effect of porn-viewing frequency, viewing porn more often at Wave 1 corresponded to increases in religious doubt and declining religious salience at Wave 2. However, the effect of earlier pornography use on later religious service attendance and prayer was curvilinear: Religious service attendance and prayer decline to a point and then increase at higher levels of pornography viewing. Testing for interactions revealed that all effects appear to hold regardless of gender. Findings suggest that viewing pornography may lead to declines in some dimensions of religiosity but at more extreme levels may actually stimulate, or at least be conducive to, greater religiosity along other dimensions.     

Do Some Students Need Special Protection From Research on Sex and Trauma? New Evidence for Young Adult Resilience in “Sensitive Topics” Research

Institutional review boards (IRBs) have expressed concerns that certain individuals or groups, such as participants who are younger, ethnic minorities, or who have certain psychological or personality traits, may be particularly distressed when participating in “sensitive topics” research. This study examined the effects of several demographic and individual difference factors (i.e., age, sex, ethnicity, religiosity, Big Five personality traits, and baseline psychological distress levels) on reactions to participation in sensitive topics research. Participants were 504 undergraduates who completed an extensive battery of either trauma/sex questionnaires or cognitive tests and rated their positive and negative emotional reactions and the perceived benefits and mental costs of participating. They also compared research participation to normal life stressors. Our findings indicated that individual difference and demographic risk factors do not increase participant distress after participating in sex/trauma research over and above that experienced after participating in traditionally minimal-risk cognitive tasks. Participants generally found research participation less distressing than normal life stressors and even enjoyable.     

Generating Dynamic Democratic Discussions: An Analysis of Teaching With U.S. Presidential Debates

Researchers have found that when young people participate in discussions of controversial political issues, they often become more politically engaged and informed (Hess, 2009 Hess, Diana E. (2009). Controversy in the classroom: The democratic power of discussion. New York, NY: Routledge.[Crossref] , [Google Scholar]). Nonetheless, some educators avoid fostering such discussions because they can become heated and distract from academic learning (Hess, 2002 Hess, Diana E. (2002). Discussing controversial public issues in secondary social studies classrooms: Learning from skilled teachers. Theory &; Research in Social Education, 30(1), 10–41.[Taylor &; Francis Online] , [Google Scholar]). Presidential elections, including the highly publicized debates, provide substantial material for discussions of major national and international issues, but no published research has examined how educators can leverage these events to generate productive civic learning experiences. In this article, we analyze data collected in seven high school classrooms during the 2012 presidential election to examine the challenges and opportunities associated with generating substantive, dynamic discussions of presidential debates. Our findings indicate that students enjoyed learning about candidates' different perspectives and that certain strategies were especially helpful for fostering substantive discussions: (a) scaffolding students' preparation for discussion; (b) providing opportunities for students to address open-ended questions; (c) redirecting students' engagement in competitive, interpersonal dynamics to learning about public issues; and (d) countering students' partisan tendencies. We discuss implications for practice and research and present a conceptual framework for generating dynamic, substantive democratic discussions.