A Unified Approach to Ordering Comparison of GPS Distributions with their Mixtures

Recently, several authors have been concerned with ordering comparison of known distributions of the family of generalized power series (GPS) distributions with their mixtures in various senses. In this article, we shall employ a unified approach and obtain similar results, more generally, for all members of the class of the GPS distributions. Some of the previous findings of Misra et al. (2003 Misra , N. , Singh , H. , Harner , E. J. ( 2003 ). Stochastic comparisons of Poisson and binomial random variables with their mixtures . Statist. Probab. Lett. 65 : 279 – 290 .[Crossref], [Web of Science ®] , [Google Scholar]), Alamatsaz and Abbasi (2008 Alamatsaz , M. H. , Abbasi , S. ( 2008 ). Ordering comparison of negative binomial random variables with their mixtures . Statist. Probab. Lett. 78 : 2234 – 2239 . [Google Scholar]), and Aghababaei Jazi and Alamatsaz (2010 Aghababaei Jazi , M. , Alamatsaz , M. H. ( 2010 ). Ordering comparison of logarithmic series random variables with their mixtures . Commun. Statist. Theor. Meth. 39 : 3252 – 3263 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) in this connection, then, follow as corollaries. Further, we have derived some more ordering comparison results.     

Same-occupation spouses: preferences or search costs?

Married individuals match with spouses who share their occupation more frequently than should happen by chance if marriage markets are large frictionless search markets covering a particular geographic area. This suggests that either there is a preference for same-occupation matches or that search costs are lower within occupation. This paper uses 2008–2015 data from the American Community Survey to analyze same-occupation matching among a sample of recently married couples. Our empirical strategy compares the difference in wages between same-occupation husbands and different-occupation husbands across occupations with different percent male workers. Under a preference explanation, this difference should become less negative as the share of males in the occupation increases. Under a search cost explanation, this difference should become more negative as the share of males increases. Our results are consistent with the search cost explanation. Furthermore, using an occupation-specific index of workplace communication, we demonstrate that the results are most consistent with the search cost mechanism for occupations with a greater degree of workplace communication. Finally, we show that matching on field of degree for couples in which both spouses have a college degree is also consistent with the search cost explanation.     

The Effects of Intrauterine Malnutrition on Birth and Fertility Outcomes: Evidence From the 1974 Bangladesh Famine

This article uses the Bangladesh famine of 1974 as a natural experiment to estimate the impact of intrauterine malnutrition on sex of the child and infant mortality. In addition, we estimate the impact of malnutrition on post-famine pregnancy outcomes. Using the 1996 Matlab Health and Socioeconomic Survey (MHSS), we find that women who were pregnant during the famine were less likely to have male children. Moreover, children who were in utero during the most severe period of the Bangladesh famine were 32 % more likely to die within one month of birth compared with their siblings who were not in utero during the famine. Finally, we estimate the impacts of the famine on subsequent pregnancy outcomes. Controlling for pre-famine fertility, we find that women who were pregnant during the famine experienced a higher number of stillbirths in the post-famine years. This increase appears to be driven by an excess number of male stillbirths.     

Economic Insecurity and Fertility: Does Income Volatility Impact the Decision to Remain a One-Child Family?

This study is the first to investigate the economic factors behind the recent rise of the one-child family in the United States. Using longitudinal data from the Panel Study of Income Dynamics (PSID) that runs from 1968 to 2013 and a variety of different model specifications with state and year fixed effect, including logistic regression, linear probability, and Cox proportional hazard models, the study examined the effect of absolute income volatility on the decision of having an only-child family. The study found that an increase in the standard deviation of income is associated with a decrease in the probability of having a second child for mothers who are in the second quartile of income distribution.     

Ordering Comparison of Logarithmic Series Random Variables with their Mixtures

The problem of comparing some known distributions in various types of stochastic orderings has been of interest to many authors. In particular, several authors have been recently concerned with the comparison of Poisson, binomial, and negative binomial distributions with their respective mixtures. Incidentally, these distributions are among the four well-known distributions of the family of generalized power series distributions (GPSD's). The remaining distribution is the logarithmic series distribution. In this paper, we shall be concerned with comparing this remaining distribution of the class GPSD with its mixture in terms of various types of stochastic orderings such as the simple stochastic, likelihood ratio, uniformly more variable, convex, hazard rate and expectation orderings. Derivation of the results in this case prove to be computationally trickier than the other three. The special case when the means of the two distributions are the same is also discussed. Finally, an illustrative explicit example is provided.