Bias corrected empirical Bayes confidence intervals for the selected mean

Empirical Bayes (EB) methods are very useful for post selection inference. Following Datta et al. (2002 Datta, G. S., M. Ghosh, D. D. Smith, and P. Lahiri. 2002. On an asymptotic theory of conditional and unconditional coverage probabilities of empirical Bayes confidence intervals. Scandinavian Journal of Statistics 29:139–52.[Crossref], [Web of Science ®] , [Google Scholar]), we construct EB confidence intervals for the selected population mean. The EB intervals are adjusted to achieve the target coverage probabilities asymptotically up to the second order. Both unconditional coverage probabilities of EB intervals and corresponding probabilities conditional on ancillary statistics are found.     

Prevalence and economic well-being of families raising multiple children with disabilities

This study estimates the prevalence of households raising more than one child with disabilities, and examines these families' economic well-being. Using pooled data from the 2004 and 2008 Survey of Income and Program Participation we compare households with multiple children with disabilities (n = 932) to households with one disable child (n = 3457) and to households with at least one child but none with disabilities (n = 21,378) on measures of material hardship. Three percent of U.S. households with children had more than one disabled child. Compared to other households with children, those with multiple children with disabilities were significantly more likely to have income below the federal poverty level and to report material hardships. The number of children with disabilities is an important contextual variable for studying the economic circumstances under which, care is provided to children with disabilities. Its implications for practice and policy are discussed.     

Financial inclusion through a public works programme: Does left‐wing extremism make a difference?

Using district‐level household data, the study investigates the impact of left wing extremism (LWE) violence on financial inclusion in India. Exploiting the staggered roll‐out of a major public works programme, we find that the programme has the potency to improve financial inclusion, notwithstanding the deleterious effects of higher LWE violence. These findings are, however, different in the post‐Pradhan Mantri Jan Dhan Yojana (Prime Minister's People Money Scheme) phase, especially in the short run wherein there is an increase in both access to and use of finance. The findings are consistent with the citizen support model and suggest that demonstrable government commitment in the form of spending on public works has the capacity to raise financial inclusion, even if the programme occurs in LWE‐affected districts.     

A study of demographic trends in West Bengal during 1901–1950

From time to time attempts have been made to determine the trends of fertility of the Indian population. Actuarial analyses which have been undertaken in this connection, published in the Census Reports and elsewhere² are admitted to be in the nature of makeshifts. The difficulty with such reconstructions is that while they may adequately represent the trends and tendencies in a fairly homogenous region or, over a short period of time, they may be misleading when the region covered is too large, or the period considered is too long. Studies covering India as a whole have in most cases to depend largely on the Census. But in the Census returns the errors in age and other details are very large and the conclusions thus depend to a great extent on the power of the particular smoothing formula which is used. But although these facts are well known, demographers dealing with India rely too often on such data for drawing conclusions not only about narrow time periods or small regions, but also for determining fertility trends and differentials over a long period and for the country as a whole.     

Brexit and the Economics of Political Change in Developed Countries

The economic forces underlying Brexit—and the election of Donald Trump in the US—are similar, but they are also well advanced in many European countries, where much of the population faces similar material insecurity and stagnation. These frustrations can easily be channelled by right-wing xenophobic forces. To combat this, the EU needs to undo some of its design flaws and particularly its adherence to fiscal austerity rules. Only a more progressive and more flexible union based on solidarity of peoples is likely to survive.     

A New Two‐Bin Policy for Inventory Systems with Differentiated Demand Classes

We consider an inventory system under continuous review with two demand classes that are different in terms of service level required (or penalty cost incurred for backordering of demand). Prior literature has proposed the critical level rationing (CLR) policy under which the demand from the lower priority class is backordered once inventory falls below the critical level. While this reduces the penalty cost for the higher demand class, the fill rate achieved for the lower priority demand class gets compromised. In this study, we propose a new class of two‐bin (2B) policy for the problem. The proposed 2B policy assigns separate bins of inventory for the two demand classes. The demand for each class is fulfilled from its assigned bin. However, when the bin intended for the higher demand class is empty, the demand from the higher class can still be fulfilled with the inventory from the other bin. The advantage of the 2B policy is that better fill rates are achieved, especially for the lower demand class. Computational results show that the proposed policy is able to provide a much higher service level for the lower priority class demand without increasing the total cost too much and without affecting the service level for the higher priority class. When a service level constrained optimization problem is considered, the 2B policy dominates the CLR policy when the service level difference for the two classes is not too high or the service levels required for both the classes are relatively lower.     

On priors that match posterior and frequentist distribution functions

In the multiparameter case, this paper characterizes priors so as to match, up to o(n^-1/2), the posterior joint cumulative distribution function (c.d.f.) of a posterior standardized version of the parametric vector with the corresponding frequentist c.d.f.