Inequalities for a new data-based method for selecting nonparametric density estimates

We continue the development of a method for the selection of a bandwidth or a number of design parameters in density estimation. We provideexplicit non-asymptotic density-free inequalities that relate the $L_1$ error of the selected estimate with that of the best possible estimate,and study in particular the connection between the richness of the classof density estimates and the performance bound. For example, our methodallows one to pick the bandwidth and kernel order in the kernel estimatesimultaneously and still assure that for {\it all densities}, the $L_1$error of the corresponding kernel estimate is not larger than aboutthree times the error of the estimate with the optimal smoothing factor and kernel plus a constant times $\sqrt{\log n/n}$, where $n$ is the sample size, and the constant only depends on the complexity of the family of kernels used in the estimate. Further applications include multivariate kernel estimates, transformed kernel estimates, and variablekernel estimates.

Medical demography and intergenerational inequalities in general practitioners' earnings

This article examines the link between restrictions on the number of physicians and general practitioners' (GPs) earnings. Using a representative panel of 6016 French self-employed GPs over the years 1983-2004, we estimate an earnings function to identify experience, time and cohort effects. The estimated gap in earnings between 'good' and 'bad' cohorts can be as large as 25%. GPs who began their practices during the eighties have the lowest permanent earnings: they belong to the large cohorts of the baby-boom and face the consequences of an unlimited number of places in medical schools. Conversely, the decrease in the number of places in medical schools led to an increase in permanent earnings of GPs who began their practices in the mid-nineties. A stochastic dominance analysis shows that unobserved heterogeneity does not compensate for average differences in earnings between cohorts. These findings suggest that the first years of practice are decisive for a GP. If competition between physicians is too intense at the beginning of their careers, they will suffer from permanently lower earnings. To conclude, our results show that the policies aimed at reducing the number of medical students succeeded in buoying up physicians' permanent earnings. [Ed.]

Le médecin face aux inégalités sociales de santé: quel pouvoir d'action [General practitioners facing social inequalities in health: which power to act?].

The link between social inequalities and health has been known for many years, as attested by Villermé's work on the "mental and physical status of the working class" (1840). We have more and more insight into the nature of this relationship, which embraces not only material deprivation, but also psychological mechanisms related to social and interpersonal problems. Defining our possible role as physicians to fight against these inequalities has become a public health priority. Instruments and leads, which are now available to help us in our daily practice, are presented here.

Socio-economic inequalities in reported depression in Spain : a decomposition approach

Recent evidence questions some conventional view on the existence of income-related inequalities in depression suggesting in turn that other determinants might be in place, such as activity status and educational attainment. Evidence of socio-economic inequalities is especially relevant in countries such as Spain that have a limited coverage of mental health care and are regionally heterogeneous. This paper aims at measuring and explaining the degree of socio-economic inequality in reported depression in Spain. We employ linear probability models to estimate the concentration index and its decomposition drawing from 2003 edition of the Spanish National Health Survey, the most recent representative health survey in Spain. Our findings point towards the existence of avoidable inequalities in the prevalence of reported depression. However, besides ¿pure income effects¿ explaining 37% of inequality, economic activity status (28%), education (15%) and demographics (15%) play also a key encompassing role. Although high income implies higher resources to invest and cure (mental) illness, environmental factors influencing in peoples perceived social status act as indirect path as explaining the prevalence of depression. Finally, we find evidence of a gender effect, gender social-economic inequality in income is mainly avoidable.

Trade policy and regional inequalities

This paper aims to analyse the effects of trade policies in the pattern of regional inequalities within a country. Inspired firstly, by the debate concerning the role of protectionist policies in the settlement of a pattern of striking regional inequalities in the Spanish industrialisation process and secondly, by current evidence of an increase in these inequalities following the entry of Spain in the EU (1986), we set a model that shows that trade liberalisation increases regional inequalities.

Variational Wigner-Kirkwood approach to relativistic mean field theory

The recently developed variational Wigner-Kirkwood approach is extended to the relativistic mean field theory for finite nuclei. A numerical application to the calculation of the surface energy coefficient in semi-infinite nuclear matter is presented. The new method is contrasted with the standard density functional theory and the fully quantal approach.

Variational analysis of the Gross-Neveu model in an S^1 space

The Gross-Neveu model in an S^1 space is analyzed by means of a variational technique: the Gaussian effective potential. By making the proper connection with previous exact results at finite temperature, we show that this technique is able to describe the phase transition occurring in this model. We also make some remarks about the appropriate treatment of Grassmann variables in variational approaches.

Variational study of 3He-4He mixtures

The ground-state properties of the 3He-4He mixture are investigated by assuming the wave function to be a product of pair correlations. The antisymmetry of the 3He component is taken into account by Fermi-hypernetted-chain techniques and the results are compared with those obtained from the lowest-order Wu-Feenberg expansion and the boson-boson approximation. A little improvement is found in the 3He maximum solubility. A microscopic theory to calculate 3He static properties such as zero-concentration chemical potential and excess-volume parameter is derived and the results are compared with the experiments.

Variational localized-site cluster expansions. X. Dimerization in linear Heisenberg chains

Ground-state instability to bond alternation in long linear chains is considered from the point of view of valence-bond (VB) theory. This instability is viewed as the consequence of a long-range order (LRO) which is expected if the ground state is reasonably described in terms of the Kekulé states (with nearest-neighbor singlet pairing). It is argued that the bond alternation and associated LRO predicted by this simple, VB picture is retained for certain linear Heisenberg models; many-body VB calculations on spin s=1 / 2 and s=1 chains are carried out in a test of this argument.

Socio-economic inequalities in reported depression in Spain : a decomposition approach

Recent evidence questions some conventional view on the existence of income-related inequalities in depression suggesting in turn that other determinants might be in place, such as activity status and educational attainment. Evidence of socio-economic inequalities is especially relevant in countries such as Spain that have a limited coverage of mental health care and are regionally heterogeneous. This paper aims at measuring and explaining the degree of socio-economic inequality in reported depression in Spain. We employ linear probability models to estimate the concentration index and its decomposition drawing from 2003 edition of the Spanish National Health Survey, the most recent representative health survey in Spain. Our findings point towards the existence of avoidable inequalities in the prevalence of reported depression. However, besides ¿pure income effects¿ explaining 37% of inequality, economic activity status (28%), education (15%) and demographics (15%) play also a key encompassing role. Although high income implies higher resources to invest and cure (mental) illness, environmental factors influencing in peoples perceived social status act as indirect path as explaining the prevalence of depression. Finally, we find evidence of a gender effect, gender social-economic inequality in income is mainly avoidable.

Trade policy and regional inequalities

This paper aims to analyse the effects of trade policies in the pattern of regional inequalities within a country. Inspired firstly, by the debate concerning the role of protectionist policies in the settlement of a pattern of striking regional inequalities in the Spanish industrialisation process and secondly, by current evidence of an increase in these inequalities following the entry of Spain in the EU (1986), we set a model that shows that trade liberalisation increases regional inequalities.

Contribution of modifiable risk factors to social inequalities in type 2 diabetes: prospective Whitehall II cohort study.

OBJECTIVE: To assess the contribution of modifiable risk factors to social inequalities in the incidence of type 2 diabetes when these factors are measured at study baseline or repeatedly over follow-up and when long term exposure is accounted for. DESIGN: Prospective cohort study with risk factors (health behaviours (smoking, alcohol consumption, diet, and physical activity), body mass index, and biological risk markers (systolic blood pressure, triglycerides and high density lipoprotein cholesterol)) measured four times and diabetes status assessed seven times between 1991-93 and 2007-09. SETTING: Civil service departments in London (Whitehall II study). PARTICIPANTS: 7237 adults without diabetes (mean age 49.4 years; 2196 women). MAIN OUTCOME MEASURES: Incidence of type 2 diabetes and contribution of risk factors to its association with socioeconomic status. RESULTS: Over a mean follow-up of 14.2 years, 818 incident cases of diabetes were identified. Participants in the lowest occupational category had a 1.86-fold (hazard ratio 1.86, 95% confidence interval 1.48 to 2.32) greater risk of developing diabetes relative to those in the highest occupational category. Health behaviours and body mass index explained 33% (-1% to 78%) of this socioeconomic differential when risk factors were assessed at study baseline (attenuation of hazard ratio from 1.86 to 1.51), 36% (22% to 66%) when they were assessed repeatedly over the follow-up (attenuated hazard ratio 1.48), and 45% (28% to 75%) when long term exposure over the follow-up was accounted for (attenuated hazard ratio 1.41). With additional adjustment for biological risk markers, a total of 53% (29% to 88%) of the socioeconomic differential was explained (attenuated hazard ratio 1.35, 1.05 to 1.72). CONCLUSIONS: Modifiable risk factors such as health behaviours and obesity, when measured repeatedly over time, explain almost half of the social inequalities in incidence of type 2 diabetes. This is more than was seen in previous studies based on single measurement of risk factors.