Ridge estimation of restricted parameters in production techniques

The problem of determining ridge estimates of the regression parameters in a two-input production function model,constrained to be non-negative,has been formulated as an exercise in quadratic programming. Relevant Kuhn-Tucker conditions have been derived and a small simulation studv has been carried out.     

Correlation in a Bayesian framework

The authors consider the correlation between two arbitrary functions of the data and a parameter when the parameter is regarded as a random variable with given prior distribution. They show how to compute such a correlation and use closed form expressions to assess the dependence between parameters and various classical or robust estimators thereof, as well as between p‐values and posterior probabilities of the null hypothesis in the one‐sided testing problem. Other applications involve the Dirichlet process and stationary Gaussian processes. Using this approach, the authors also derive a general nonparametric upper bound on Bayes risks.     

ON THE ROBUSTNESS OF MAJORITY RULE

We show that simple majority rule satisfies five standard and attractive axioms—the Pareto property, anonymity, neutrality, independence of irrelevant alternatives, and (generic) decisiveness—over a larger class of preference domains than (essentially) any other voting rule. Hence, in this sense, it is the most robust voting rule. This characterization of majority rule provides an alternative to that of May (1952). (JEL: D71)     

Charting the Course: An Overview of Domestic Violence in the South Asian Community in the United States

In the South Asian community in the United States, domestic violence is a prevalent problem of significant magnitude. Although the community stridently denies the existence of this horror, women have been systematically organizing antiviolenceagainst- women work for the last 15 yearsAt this time, it is a vibrant movement struggling with several complex issues that are perhaps less common in thedominant white community. As in the lives of immigrant women of color, much of the intricacies of domestic violencein the South Asian context emerge from the intersections of race, class, andsresidencystatus problems. Consequently, a slew of personal, institutional, and cultural barriers commingle to form roadblocks for battered South Asian women, who attempt to escape family violence. As the needs of battered South Asian first and second generation women enlarge and become more perceptible, the community-based organizations have to ready themselves for more complicated activities in the future.     

Attitude Toward Menopause and Aging: A Study on Postmenopausal Women of West Bengal

We examined the attitude of postmenopausal women toward menopause and aging with respect to sociodemographic variables and postmenopausal years. Four hundred and eighty postmenopausal women representing Bengali-speaking Hindu ethnic group of West Bengal, India were interviewed about their attitude toward menopause and aging. Information on sociodemographic and reproductive characteristics and menopausal symptoms were also collected. The participants were categorized into four groups based on postmenopausal years (Group 1: ≤2; Group 2: >2 to ≤5; Group 3: >5 to ≤8; and Group 4: >8). The attitude did not differ significantly among different groups, but it differed significantly when compared for residential status and per capita monthly household expenditure (pooled groups), for residential and educational status (Groups 3 and 4), and per capita monthly household expenditure (Group 3). Hierarchical linear regression (stepwise) shows per capita monthly expenditure, age at menopause, years after menopause, and menopausal symptoms (irritability and inability to hold urine) significantly predict attitude.     

Contraction consistent stochastic choice correspondence

We model a general choice environment via probabilistic choice correspondences, with (possibly) incomplete domain and infinite universal set of alternatives. We offer a consistency restriction regarding choice when the feasible set contracts. This condition, ‘contraction consistency’, subsumes earlier notions such as Chernoff’s Condition, Sen’s α and β, and regularity. We identify a restriction on the domain of the stochastic choice correspondence (SCC), under which contraction consistency is equivalent to the weak axiom of revealed preference in its most general form. When the universal set of alternatives is finite, this restriction is also necessary for such equivalence. Analogous domain restrictions are also identified for the special case where choice is deterministic but possibly multi-valued. Results due to Sen (Rev Econ Stud 38:307–317, 1971) and Dasgupta and Pattanaik (Econ Theory 31:35–50, 2007) fall out as corollaries. Thus, conditions are established, under which our notion of consistency, articulated only in reference to contractions of the feasible set, suffices as the axiomatic foundation for a general revealed preference theory of choice behaviour.     

Are social networking sites a source of online harassment for teens? Evidence from survey data

Media reports on incidences of abuse on the internet, particularly among teenagers, are growing at an alarming rate causing much concern among parents of teenagers and prompting legislations aimed at regulating internet use among teenagers. Social networking sites (SNS) have been criticized for serving as a breeding ground for cyber-bullying and harassment by strangers. However, there is a lack of serious research studies that explicitly identify factors that make teenagers prone to internet abuse, and study whether it is SNS that is causing this recent rise in online abuse or is it something else. This study attempts to identify the key factors associated with cyber-bullying and online harassment of teenagers in the United States using the 2006 round of Pew Internet™ American Life Survey that is uniquely suited for this study. Results fail to corroborate the claim that having social networking site memberships is a strong predictor of online abuse of teenagers. Instead this study finds that demographic and behavioral characteristics of teenagers are stronger predictors of online abuse.     

Fuzzy choice functions

The R-greatest and maximal sets of standard choice theory are extended to fuzzy R-greatest and fuzzy maximal sets. Unlike the precise counterparts of these concepts, these two sets do not in general coincide when preferences are reflexive and connected. A stronger than usual version of connectedness under which the two sets are equal is provided. The concept of a fuzzy choice function is introduced and conditions under which a fuzzy choice function may be rationalized as a fuzzy R-greatest or a fuzzy maximal set are discussed. Rationalizability with transitive and weakly transitive fuzzy preference relations is also considered.We are indebted to Professor P. K. Pattanaik for his comments on an earlier version of this paper. We also wish to acknowledge comments made by an anonymous referee from which this paper has benefited greatly. The usual caveat about errors applies.