Sums of powers of binomial coefficients

An asymptotic series for sums of powers of binomial coefficients is derived, the general term being defined and usable with a computer symbolic language. Sums of squares of coefficients in the symmetric case are shown to have a link with classical moment problems, but this property breaks down for cubes and higher powers. Problems of remainders for the asymptotic series are mentioned. Using the reflection formula for I'(.), a continuous form for a binomial function is set up, and this becomes oscillatory outstde the usual range. A new contmued fraction emerges for the logarithm of an adjusted sum of binomial squares. The note is a contribution to the problem of the interpretation of asymptotic series and processes for their convergence acceleration.     

Supportive Housing for Addicted,Incarcerated Homeless Adults

ABSTRACT

Homeless populations often suffer from mental illness, substance abuse, and criminality. Interventions, such as supportive housing, can have positive impacts, although benefits can be limited. This study examined outcomes for clients (N = 102) of a new supportive housing intervention. Use of formal treatment, jail contact, and community stability were compared pre- and post-housing. Jail bookings and residential substance abuse treatment significantly declined post-housing, while clients improved in income level, access to food, and housing stability. Results from official justice and treatment system data suggest that supportive housing can lead to significant changes. Future research is necessary to understand the relationship between client characteristics and outcomes.     

Contraceptive Responsibility among Male University Students

Abstract

This paper assesses the male contribution to contraceptive mismanagement and unwanted pregnancy. The subjects were 109 students at the University of Melbourne. A high incidence of risk-taking was reported, and almost one-fifth of the sexually experienced men stated that they had been involved in an unwanted pregnancy. A small group of these reported more than one such incident. The underlying reasons for poor contraceptive technique seemed to be related to two beliefs: that contraception is a female responsibility, and that sexual intercourse should be entirely spontaneous and unplanned.     

Chronic Child Abuse: The Characteristics and Careers of Children Caught in the Child Protection System

The introduction of the Quality Protects initiative in Englandand the focus on performance management has challenged socialservices departments to examine the systems, processes and outcomesfor children who have their name on a child protection register.Research indicates that approximately one-quarter of the situationsin which children are registered could be described as chronic—thatis, they remain on the child protection register for significantperiods of time, experience more than one period of registrationor suffer a further incident of significant harm whilst subjectto a child protection plan. In this article, the findings froma research study conducted into this group of vulnerable childrenare reported, focusing on the characteristics of the childrenand their families, and their careers in the child protectionsystem. The paper concludes with observations about the weakconceptualization of performance management and the need torecognize the complexity of the factors that influence children’scareers in the child protection system.     

On the existence of linear trend free block designs

We present a class of counerexamples for a conjecture on the existence or linear trend free block designs we will also prove a considerably weakened version of this conjecture which will determine all combinations of designs parmetres for which the class of linear trend free block designs is non empty.     

Does product complexity matter for competition in experimental retail markets?

We describe a first experiment on whether product complexity affects competition and consumers in retail markets. We are unable to detect a significant effect of product complexity on prices, except insofar as the demand elasticity for complex products is higher. However, there is qualified evidence that complex products have the potential to induce consumers to buy more than they would otherwise. In this sense, consumer exploitability in quantities cannot be ruled out. We also find evidence for shaping effects: consumers’ preferences are shaped by past experience with prices, and firms may in principle exploit this to sell more.     

Leveraging the common and outsourcing the distinct: institutional difference and multinational company identity in emerging economies

ABSTRACT

This paper explores the challenges of outsidership faced by multinational companies (MNCs) accessing emerging economies. The paper departs from popular conceptualisations of culture drawing instead on social identity theory as part of an institutions-based view, to explain how employing a singularities approach can allow the identification of commonalities of Indianness and Australianness that can be leveraged to ameliorate negative socially embedded business norms that pose a challenge to MNC success in emerging economies. This study shows that despite recognised formal (regulatory) and informal (cultural) differences, managers of Australian MNCs operating in India were able to innovatively identify and exploit cultural commonalties/singularities to ease cultural adjustment and mitigate intergroup conflict, allowing them to achieve an innovative institutional fit. The paper discusses how, using this approach, sole-venture MNCs can access many of the benefits provided by collaborative entry modes while preserving MNC identity. We further propose that the singularities approach can provide a valuable starting point to develop culturally appropriate competence training initiatives.     

Comment on “Constrained Optimization Approaches to Estimation of Structural Models”

We revisit the comparison of mathematical programming with equilibrium constraints (MPEC) and nested fixed point (NFXP) algorithms for estimating structural dynamic models by Su and Judd (2012). Their implementation of the nested fixed point algorithm used successive approximations to solve the inner fixed point problem (NFXP‐SA). We redo their comparison using the more efficient version of NFXP proposed by Rust (1987), which combines successive approximations and Newton–Kantorovich iterations to solve the fixed point problem (NFXP‐NK). We show that MPEC and NFXP are similar in speed and numerical performance when the more efficient NFXP‐NK variant is used.     

Impatience versus Incentives

This paper studies the dynamics of long‐term contracts in repeated principal–agent relationships with an impatient agent. Despite the absence of exogenous uncertainty, Pareto‐optimal dynamic contracts generically oscillate between favoring the principal and favoring the agent.     

Managing Quality in a Heterogeneous Contract Manufacturing Environment

The outsourcing of production is a prominent strategy across industries. While the strategy can have many benefits, the popular press reports numerous examples of quality issues originating with contract manufacturers (CMs). Observing these quality issues, multiple scholars call for the quality management (QM) literature to be extended to explicitly address the challenges of managing quality in an inter‐organizational context. Additionally, QM researchers recognize the need to consider contextual contingencies for the effectiveness of specific QM practices. Responding to these calls, we focus on the potential contingent factor of CM heterogeneity (i.e. the degree of product and process diversity at the CM plant). We first test the direct relationship between CM manufacturing heterogeneity and CM quality conformance performance, as reported by the CM's customers, brand‐owning firms. Next, we evaluate the effectiveness of multiple practices that these brand‐owning firms can employ to mitigate the anticipated negative effect of heterogeneity on their CM's conformance quality. We utilize paired dyadic data on 106 contract manufacturing relationships in the food, drug, and medical device industries to test our hypothesized model. The results of our analysis reveal a negative association between heterogeneity at CM facilities and their conformance quality performance. Our results also identify cooperative relationships, contractual coordination provisions, and formal performance assessment programs as practices that brand‐owning firms can employ to largely eliminate the negative impact of heterogeneity on CMs’ conformance quality performance.