5,026 research outputs found
Bootstrap inference in the presence of bias
We consider bootstrap inference for estimators which are (asymptotically)
biased. We show that, even when the bias term cannot be consistently estimated,
valid inference can be obtained by proper implementations of the bootstrap.
Specifically, we show that the prepivoting approach of Beran (1987, 1988),
originally proposed to deliver higher-order refinements, restores bootstrap
validity by transforming the original bootstrap p-value into an asymptotically
uniform random variable. We propose two different implementations of
prepivoting (plug-in and double bootstrap), and provide general high-level
conditions that imply validity of bootstrap inference. To illustrate the
practical relevance and implementation of our results, we discuss five
applications: (i) a simple location model for i.i.d. data, possibly with
infinite variance; (ii) regression models with omitted controls; (iii)
inference on a target parameter based on model averaging; (iv) ridge-type
regularized estimators; and (v) dynamic panel data models
Features of collisionless turbulence in the intracluster medium from simulated Faraday Rotation maps
Observations of the intracluster medium (ICM) in galaxy clusters suggest for
the presence of turbulence and the magnetic fields existence has been proved
through observations of Faraday Rotation and synchrotron emission. The ICM is
also known to be filled by a rarefied weakly collisional plasma. In this work
we study the possible signatures left on Faraday Rotation maps by collisionless
instabilities. For this purpose we use a numerical approach to investigate the
dynamics of the turbulence in collisionless plasmas based on an
magnetohydrodynamical (MHD) formalism taking into account different levels of
pressure anisotropy. We consider models covering the sub/super-Alfv\'enic and
trans/supersonic regimes, one of them representing the fiducial conditions
corresponding to the ICM. From the simulated models we compute Faraday Rotation
maps and analyze several statistical indicators in order to characterize the
magnetic field structure and compare the results obtained with the
collisionless model to those obtained using standard collisional MHD framework.
We find that important imprints of the pressure anisotropy prevails in the
magnetic field and also manifest in the associated Faraday Rotation maps which
evidence smaller correlation lengths in the collisionless MHD case. These
points are remarkably noticeable for the case mimicking the conditions
prevailing in ICM. Nevertheless, in this study we have neglected the decrease
of pressure anisotropy due to the feedback of the instabilities that naturally
arise in collisionless plasmas at small scales. This decrease may not affect
the statistical imprint differences described above, but should be examined
elsewhere.Comment: 24 pages, 15 figures, MNRAS accepte
The Domination Number of Grids
In this paper, we conclude the calculation of the domination number of all
grid graphs. Indeed, we prove Chang's conjecture saying that for
every , .Comment: 12 pages, 4 figure
Hysteretic Optimization For Spin Glasses
The recently proposed Hysteretic Optimization (HO) procedure is applied to
the 1D Ising spin chain with long range interactions. To study its
effectiveness, the quality of ground state energies found as a function of the
distance dependence exponent, , is assessed. It is found that the
transition from an infinite-range to a long-range interaction at
is accompanied by a sharp decrease in the performance . The transition is
signaled by a change in the scaling behavior of the average avalanche size
observed during the hysteresis process. This indicates that HO requires the
system to be infinite-range, with a high degree of interconnectivity between
variables leading to large avalanches, in order to function properly. An
analysis of the way auto-correlations evolve during the optimization procedure
confirm that the search of phase space is less efficient, with the system
becoming effectively stuck in suboptimal configurations much earlier. These
observations explain the poor performance that HO obtained for the
Edwards-Anderson spin glass on finite-dimensional lattices, and suggest that
its usefulness might be limited in many combinatorial optimization problems.Comment: 6 pages, 9 figures. To appear in JSTAT. Author website:
http://www.bgoncalves.co
Interação palma forrageira Opntia FÃcus-Indica Mill e Napolea Cochenillifera Salmdyck x Coconilha de escama Diaspis Enchinocati x Joaninha Chilocorus Nigrita Fabricius.
Qualitative analysis of a scalar-tensor theory with exponential potential
A qualitative analysis of a scalar-tensor cosmological model, with an
exponential potential for the scalar field, is performed. The phase diagram for
the flat case is constructed. It is shown that solutions with an initial and
final inflationary behaviour appear. The conditions for which the scenario
favored by supernova type Ia observations becomes an attractor in the space of
the solutions are established.Comment: Latex file, 9 pages, 1 figur
Alterações nos atributos quÃmicos do solo proveniente da adição de fontes alternativas portadoras de potássio.
Dada a enorme geodiversidade que ocorre no Brasil, a tecnologia da aplicação de pó de rocha (rochagem) configura-se como uma excelente alternativa ao fornecimento de nutrientes no solo. Objetivou-se avaliar os efeitos de fontes alternativas de nutrientes nos atributos quÃmicos do solo em um experimento de incubação realizado em casa de vegetação. Foi conduzido em vasos com 5 kg preenchidos com um Latossolo Vermelho Amarelo distrófico de textura média, com teor de K (Mehlich-1) de 0,06 cmolc dm-3 de solo. O delineamento experimental foi inteiramente casualizado e os tratamentos foram distribuÃdos em arranjo fatorial 5 x 9 x 3, sendo cinco doses de potássio (0, 150, 300, 450 e 600 kg ha-1 de K2O) e nove fontes alternativas de nutrientes (verdete, 25C:75V, verdete tratado com NH4OH, ultramáfica, 25C:75U, fonolito, 25C:75F, resÃduo de mineração, 25C:75R), com três repetições. As fontes alternativas de nutrientes foram aplicadas e incorporadas ao solo, deixando-os em incubação por um perÃodo de 45 dias, com a umidade em torno de 70% da capacidade de campo, e, após isto, foram feitas análises do solo. Os fertilizantes potássicos alteraram a disponibilidade de nutrientes, sendo que o resÃduo de mineração e sua mistura foram os que mais liberaram K para o solo em todas as doses testadas
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