Poverty Measures and Anti-Poverty Policy

[Excerpt] Amartya Sen has made fundamental contributions to the study of distributional aspects of economic growth and decline. Among his pathbreaking works are his lectures on the economics of inequality (Sen, 1973), his article on the axiomatics of poverty measurement (Sen, 1976), and his book on anti-poverty policy in the context of famines (Sen, 1981). This paper is concerned with one of these areas, namely, the measurement of poverty and the implications for anti-poverty policy. In the 1960\u27s and 1970\u27s those who were working in the poverty field held a number of somewhat incompletely articulated views as to the extent of poverty in an economy. One was the judgment that a country is poorer the larger is the number or fraction of its people below an agreed-upon poverty standard. Second, the severity of poverty depends on how poor the poor are. As formulated then, the larger is the average income shortfall among the poor, the more severe is poverty. Thirdly, it was recognized that some of the poor are poorer than others, and the extent of poverty should also depend on the distribution of income among the poor

Blind fluorescence structured illumination microscopy: A new reconstruction strategy

In this communication, a fast reconstruction algorithm is proposed for fluorescence \textit{blind} structured illumination microscopy (SIM) under the sample positivity constraint. This new algorithm is by far simpler and faster than existing solutions, paving the way to 3D and/or real-time 2D reconstruction.Comment: submitted to IEEE ICIP 201

Inequality of outcomes and inequality of opportunities in Brazil

The authors depart from John Roemer's theory of equality of opportunities. They seek to determine what part of observed outcome inequality may be attributed to differences in observed"circumstances,"including family background, and what part is due to"personal efforts."The authors use a microeconometric technique to simulate what the distribution of outcomes would look like if circumstances were the same for everybody. They apply this technique to Brazilian data from the 1996 household survey, both for earnings and for household incomes. The authors show that observed circumstances are a major source of outcome inequality in Brazil, probably more so than in other countries for which information is available. Nevertheless, the level of inequality after observed circumstances are equalized remains very high in Brazil.Economic Theory&Research,Public Health Promotion,Curriculum&Instruction,Teaching and Learning,Health Monitoring&Evaluation,Health Monitoring&Evaluation,Teaching and Learning,Economic Theory&Research,Inequality,Poverty Impact Evaluation

Discontinuous Losses from Poverty, Generalized Pα Measures, and Optimal Transfers to the Poor

This paper examines the distributional properties of poverty measures which are discontinuous at the poverty line. It is shown that among all the additive poverty measures, only those measures with some discontinuous jump at the poverty line are such that it is optimal to allocate a given antipoverty budget either to the richest of the poor, or to the poorest of the poor, or to both. A special class of such poverty measures is an extension of the well-known , the properties of which are investigated

Compact representation of wall-bounded turbulence using compressive sampling

Compressive sampling is well-known to be a useful tool used to resolve the energetic content of signals that admit a sparse representation. The broadband temporal spectrum acquired from point measurements in wall-bounded turbulence has precluded the prior use of compressive sampling in this kind of flow, however it is shown here that the frequency content of flow fields that have been Fourier transformed in the homogeneous spatial (wall-parallel) directions is approximately sparse, giving rise to a compact representation of the velocity field. As such, compressive sampling is an ideal tool for reducing the amount of information required to approximate the velocity field. Further, success of the compressive sampling approach provides strong evidence that this representation is both physically meaningful and indicative of special properties of wall turbulence. Another advantage of compressive sampling over periodic sampling becomes evident at high Reynolds numbers, since the number of samples required to resolve a given bandwidth with compressive sampling scales as the logarithm of the dynamically significant bandwidth instead of linearly for periodic sampling. The combination of the Fourier decomposition in the wall-parallel directions, the approximate sparsity in frequency, and empirical bounds on the convection velocity leads to a compact representation of an otherwise broadband distribution of energy in the space defined by streamwise and spanwise wavenumber, frequency, and wall-normal location. The data storage requirements for reconstruction of the full field using compressive sampling are shown to be significantly less than for periodic sampling, in which the Nyquist criterion limits the maximum frequency that can be resolved. Conversely, compressive sampling maximizes the frequency range that can be recovered if the number of samples is limited, resolving frequencies up to several times higher than the mean sampling rate. It is proposed that the approximate sparsity in frequency and the corresponding structure in the spatial domain can be exploited to design simulation schemes for canonical wall turbulence with significantly reduced computational expense compared with current techniques

Surgery and the Spectrum of the Dirac Operator

We show that for generic Riemannian metrics on a simply-connected closed spin manifold of dimension at least 5 the dimension of the space of harmonic spinors is no larger than it must be by the index theorem. The same result holds for periodic fundamental groups of odd order. The proof is based on a surgery theorem for the Dirac spectrum which says that if one performs surgery of codimension at least 3 on a closed Riemannian spin manifold, then the Dirac spectrum changes arbitrarily little provided the metric on the manifold after surgery is chosen properly.Comment: 23 pages, 4 figures, to appear in J. Reine Angew. Mat