6,106 research outputs found
JRR Variance Estimates for Longitudinal Fuzzy Measures of Multi-Dimensional Poverty
No full textThis chapter explores variance estimation to longitudinal multi-dimensional fuzzy poverty measures. The measures considered are based on a fuzzy representation of individuals’ propensity for deprivation in monetary and diverse non-monetary dimensions and are derived from sample surveys with complex designs and fairly large samples. The design recommended by Eurostat is developed and described in Verma and Betti. It involves a rotational panel in which a new sample of households and individuals is introduced each year to replace one-quarter of the existing sample. All micro-level data have been weighted for variations in selection probabilities, non-response, other shortcomings in implementation, calibration on the basis of external data and population size. The cross-sectional component covers information pertaining to the current and recent periods, such as the preceding calendar year. The empirical analysis indicates that in general the fuzzy measures have smaller standard errors than conventional measures
Associazionismo e ordinamento: riflessioni sull'attualità del pensiero di Emilio Betti
No full textIl contributo riproduce, con l'aggiunta di note, l'intervento tenuto su "associazioni e ordinamento" nel corso della prima sessione del Convegno "Riflessioni sull'attualità del pensiero di Emilio Betti a cinquant'anni dalla sua scomparsa", Scuola estiva dell'Associazione dottorati di diritto privato, tenutasi dal 5 all'8 settembre 2018 presso l'Università degli Studi di Camerin
Can a neighbouring region influence poverty? A fuzzy and longitudinal approach
No full textThis chapter provides fuzzy measures of poverty and deprivation, covering both monetary and non-monetary aspects from cross-sectional and longitudinal perspectives. It presents the most important characteristics of the spatial empirical best linear unbiased predictor (SEBLUP), which is the small area technique that people believe is the most appropriate for estimating poverty at the regional level in the European Union (EU), because it includes correlations of poverty among neighbouring regions. The chapter describes the micro-dataset used and the construction of computational units for variance estimation. It explores the EU survey on the statistics on income and living conditions (EU-SILC), a large-scale micro-database, from which people use a subset in our analysis. The primary result obtained is the extension of variance estimation to go beyond measures of monetary longitudinal poverty, specifically using a fuzzy formulation of those measures and, as a corollary, multi-dimensional measures of longitudinal deprivation, which by their nature are a matter of degree - i.e. are fuzzy
Relative ends, L^2 invariants and Property (T)
No full textWe prove splitting theorems for groups with positive first L^2-betti number (denoted \beta^2_1) and verify Kropholler's conjecture for pairs of groups H \leq G satisfying \beta^2_1(G) > \beta^2_1(H). We also prove that every n-dimensional Poincare duality group containing an (n-1)-dimensional Poincare duality group H with property (T) splits over a subgroup commensurable with H.<br/
Non-orientable surface-plus-one-relation groups
No full textRecently Dicks–Linnell determined the L2-Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the L2-Betti numbers of the non-orientable surface-plus-one-relation group
GRAPH INVARIANTS AND BETTI NUMBERS OF REAL TORIC MANIFOLDS
No full textFor a graph G, the graph cubeahedron □_G and the graph associahedron △_G are simple convex polytopes which admit (real) toric manifolds. In this paper, we introduce a graph invariant, called the b-number, and show that the b-numbers compute the Betti numbers of the real toric manifold X^R(□_G) corresponding to □_G. The b-number is a counterpart of the notion of anumber, introduced by S. Choi and the second named author, which computes the Betti numbers of the real toric manifold X^R(△_G) corresponding to △_G. We also study various relationships between a-numbers and b-numbers from the viewpoint of toric topology. Interestingly, for a forest G and its line graph L(G), the real toric manifolds X^R(△_G) and X＾R(□_＜L(G)＞) have the same Betti numbers
L2-Betti numbers
No full textThis thesis aims to introduce the subject of L2-Betti numbers to the uninitiated reader. These L2-Betti numbers are invariants of regular G-coverings. They will first be introduced by means of functional analysis and later a more algebraic approach to their study will be employed. Three questions of particular importance will then be emphasized. These are the so called zero-in-the-spectrum conjecture, the Atiyah conjecture and L2-Betti number approximation.Cette thèse vise a initier le lecteur avec le sujet des nombres L2-Betti. Ces nombres sont des invariants de G-revêtements réguliers. Ils seront introduits en un premier temps en utilisant l'analyse fonctionnelle et, ensuite, une approche plus algébrique sera prise pour leur étude. L'emphase sera alors mise sur trois questions importantes. Ces questions sont: la conjecture zero-in-the-spectrum, la conjecture d'Atiyah et l'approximation des nombres L2-Betti
The effect of equivalence scales on poverty at oblast level in Ukraine
No full textThis paper aims at properly measuring and evaluating the impact of equivalence scales on poverty and inequality at both national and regional (Oblast) level in Ukraine. A new equivalence scale set is proposed and estimated on the basis of the UHLSC data; for some regions the precision of the estimates results as not being sufficient due to small sub-sample sizes. A variant of EBLUP small area estimation technique is proposed and implemented to properly estimate poverty measures and to reduce standard errors of such estimates; the variant concerned is based on a ratio approach: in this way the effect of the difficult-to-qualify institutional and historical factors, common to the country and its regions, is abstracted
L^2-Betti numbers of locally compact groups and their cross section equivalence relations
No full text© 2015 American Mathematical Society. We prove that the L2-Betti numbers of a unimodular locally compact group G coincide, up to a natural scaling constant, with the L2-Betti numbers of the countable equivalence relation induced on a cross section of any essentially free ergodic probability measure preserving action of G. As a consequence, we obtain that the reduced and unreduced L2-Betti numbers of G agree and that the L2-Betti numbers of a lattice Γ in G equal those of G up to scaling by the covolume of Γ in G. We also deduce several vanishing results, including the vanishing of the reduced L2-cohomology for amenable locally compact groups.sponsorship: The first author was supported by ERC Starting Grant VNALG-200749. The second author was supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92). The third author was supported by ERC Starting Grant VNALG-200749, Research Programme G.0639.11 of the Research Foundation - Flanders (FWO), and KU Leuven BOF research grant OT/08/032. (ERC|VNALG-200749, Danish National Research Foundation through the Centre for Symmetry and Deformation|DNRF92, Research Foundation - Flanders (FWO)|G.0639.11, KU Leuven BOF|OT/08/032, Villum Fonden|00007423)status: Publishe
Conflitto di interessi e legittimazione: l’insegnamento di Emilio Betti
No full textIn linea con lettura data da Emilio Betti ai fenomeni di rappresentanza, si affronta il tema della qualificazione del conflitto di interessi nel contratto. Nel tentativo di attualizzare l’insegnamento del Maestro, si configura una patologia negoziale legata a un difetto di legittimazione, allo stato idonea a destabilizzare le dinamiche dei mercati finanziari
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