Sequential Monte Carlo for rare event estimation

This paper discusses a novel strategy for simulating rare events and an associated Monte Carlo estimation of tail probabilities. Our method uses a system of interacting particles and exploits a Feynman-Kac representation of that system to analyze their fluctuations. Our precise analysis of the variance of a standard multilevel splitting algorithm reveals an opportunity for improvement. This leads to a novel method that relies on adaptive levels and produces, in the limit of an idealized version of the algorithm, estimates with optimal variance. The motivation for this theoretical work comes from problems occurring in watermarking and fingerprinting of digital contents, which represents a new field of applications of rare event simulation techniques. Some numerical results show performance close to the idealized version of our technique for these practical applications.     

Corporate social responsibility and corporate governance in Italian SMEs: the experience of some “spirited businesses”

The study proposes to individuate the relationship between social engagement, social statements and governance of SMEs. Does an adhesion to the philosophy and to the practices of CSR, which are reflected in a firm’s mission and accountability, positively influences its governance? If so, is this influence more or less significant for SMEs with respect to large-sized firms? This paper winds itself around these questions and describes the principle findings that have emerged from a qualitative investigation focused on a selected group of “cohesive” Italian SMEs, in which their management complies with both economic and social issues. The empirical study finds that the diffusion of CSR is tied above all to the entrepreneur’s values and orientation and to the company embeddedness to the local socio-economic environment. The concluding reflections trace the features of a territorial model of socially responsible orientation centered on the best practices of SMEs who are excellent examples of “spirited businesses” and are part of a network (which includes institutions, trade associations, non-profit organizations, etc.) that contributes to the diffusion of an orientation towards CSR and to sustainability across the territory.     

Post-Divorce Transfers and the Welfare of Mothers and Children in the United States

ABSTRACT In this paper we analyze the relationship between post-divorce private transfers (child support and alimony), mothers' economic independence and children's welfare using US data. Our empirical results show that mothers who receive child support and alimony from absent fathers are more likely to work and to spend a higher proportion of the income on child-related goods. We argue that the pattern of empirical results is consistent with there being significant externalities between parents even after divorce.     

The role of grandparenting in early childcare and child outcomes

This paper examines the short and medium term impact of early childcare provision by grandparents and formal care settings on child cognitive outcomes, using data from the Millennium Cohort Study (UK). Compared with children placed in formal childcare, children cared for by their grandparents are better at naming objects, but perform worse on tests of basic concept development and non-verbal reasoning. These results mask strong heterogeneities. On the one hand, the positive association between grandparental care and child outcomes is stronger for children from more advantaged households; on the other, the negative association is only significant for those from more disadvantaged households. The results of OLS estimations used for our analysis are confirmed using panel methods and an instrumental variable approach.     

Risk of Error and the Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification

The accuracy of a binary diagnostic test is usually measured in terms of its sensitivity and its specificity, or through positive and negative predictive values. Another way to describe the validity of a binary diagnostic test is the risk of error and the kappa coefficient of the risk of error. The risk of error is the average loss that is caused when incorrectly classifying a non-diseased or a diseased patient, and the kappa coefficient of the risk of error is a measure of the agreement between the diagnostic test and the gold standard. In the presence of partial verification of the disease, the disease status of some patients is unknown, and therefore the evaluation of a diagnostic test cannot be carried out through the traditional method. In this paper, we have deduced the maximum likelihood estimators and variances of the risk of error and of the kappa coefficient of the risk of error in the presence of partial verification of the disease. Simulation experiments have been carried out to study the effect of the verification probabilities on the coverage of the confidence interval of the kappa coefficient.     

Mixing patterns between age groups in social networks

We present a method for estimating transmission matrices that describe the mixing and the probability of infection between age groups. Transmission matrices can be used to estimate age-dependent forces of infection in age-structured, compartmental models for the study of infectious diseases. We analyze the social network generated by the synthetic population of Portland and extract mixing patterns. Our results show that the mixing within the population consists of two groups, children and adults. Children interact most frequently with other children close to their own age, while adults interact with a wider range of age groups and the durations of typical adult contacts are shorter than typical contacts between children. Furthermore, the transmission matrix shows that children are more likely to acquire infection than adults.     

Perceptions and expectations of price changes and inflation: A review and conceptual framework

Drawing on relevant literature from a diverse range of academic disciplines we present a conceptual framework intended to further our understanding of perceptions and expectations of price changes and inflation. Based on this framework, we provide a detailed review of the literature and an analysis of open issues in current research. The review is primarily concerned with individuals’ perceptions and expectations of price changes and inflation, which can influence individuals’ economic behaviour (e.g. spending and saving decisions). The main insight from the review is that while consumers may have a limited ability to store and recall specific prices, and even succumb to a number of biases in the way in which they form perceptions and expectations of global price changes, they do seem to have some feel for, and ability to judge and forecast, inflation. How they achieve this, however, is still an open question, although plausible explanations have been proposed. While much important research has been undertaken and significant progress made in our understanding of the psychology of inflation, there remain many unanswered questions and interesting avenues for future research, which are discussed in the final part of the paper.     

Basic notions for the analysis of large two-mode networks

Many large real-world networks actually have a two-mode nature: their nodes may be separated into two classes, the links being between nodes of different classes only. Despite this, and despite the fact that many ad hoc tools have been designed for the study of special cases, very few exist to analyse (describe, extract relevant information) such networks in a systematic way. We propose here an extension of the most basic notions used nowadays to analyse large one-mode networks (the classical case) to the two-mode case. To achieve this, we introduce a set of simple statistics, which we discuss by comparing their values on a representative set of real-world networks and on their random versions. This makes it possible to evaluate their relevance in capturing properties of interest in two-mode networks.