3,193 research outputs found
CONVERGENCE, HARMONIZATION, AND COMPATIBILITY UNDER NAFTA: A 2003 STATUS REPORT
In the 2001 Workshop the authors developed and applied a taxonomy and framework for assessing the status of agricultural and food policies in each of the NAFTA countries (Knutson, Loyns and Ochoa, 2002). It divided the policies into the following areas: -Facilitate growth and progress. Regulation. Market intervention. For each area the paper identified the major points of conflict that existed in 2001 at the time the paper was written and the requirements for harmonization. The major areas of conflict included; -Facilitate growth and progress: particularly grades and standards in grains (US-CA) and beef (US-CA); trade policy in dairy (US-CA), sugar (US-MX), poultry (US-MX), and wheat (US-CA); infrastructure policies (border conflicts US-MX). Regulation: particularly plant and animal protection (US-MX), food safety (US-MX), pesticides (US-CA-MX). Market interventions: particularly disaster assistance (US-CA-MX), price supports and safety nets (US-CA-MX), and supply management and state trading. The purpose of this paper is to update that paper and to draw conclusions as to whether progress has been made since 2001 has been positive, negative, or neutral in each of these areas of conflict for policy/program convergence, harmonization, and compatibility. The 2001 policies, therefore, can be looked upon as a policy baseline point of reference for comparison in 2003. Many of the policy changes were embodied in the precipitated by the US 2002 farm bill. However, care was taken to review each of the policy/program areas covered in the 2001 taxonomy to identify changes in the level of conflict.International Relations/Trade,
Analysis of the Bayesian Cramer-Rao lower bound in astrometry: Studying the impact of prior information in the location of an object
Context. The best precision that can be achieved to estimate the location of
a stellar-like object is a topic of permanent interest in the astrometric
community.
Aims. We analyse bounds for the best position estimation of a stellar-like
object on a CCD detector array in a Bayesian setting where the position is
unknown, but where we have access to a prior distribution. In contrast to a
parametric setting where we estimate a parameter from observations, the
Bayesian approach estimates a random object (i.e., the position is a random
variable) from observations that are statistically dependent on the position.
Methods. We characterize the Bayesian Cramer-Rao (CR) that bounds the minimum
mean square error (MMSE) of the best estimator of the position of a point
source on a linear CCD-like detector, as a function of the properties of
detector, the source, and the background.
Results. We quantify and analyse the increase in astrometric performance from
the use of a prior distribution of the object position, which is not available
in the classical parametric setting. This gain is shown to be significant for
various observational regimes, in particular in the case of faint objects or
when the observations are taken under poor conditions. Furthermore, we present
numerical evidence that the MMSE estimator of this problem tightly achieves the
Bayesian CR bound. This is a remarkable result, demonstrating that all the
performance gains presented in our analysis can be achieved with the MMSE
estimator.
Conclusions The Bayesian CR bound can be used as a benchmark indicator of the
expected maximum positional precision of a set of astrometric measurements in
which prior information can be incorporated. This bound can be achieved through
the conditional mean estimator, in contrast to the parametric case where no
unbiased estimator precisely reaches the CR bound.Comment: 17 pages, 12 figures. Accepted for publication on Astronomy &
Astrophysic
Performance analysis of the Least-Squares estimator in Astrometry
We characterize the performance of the widely-used least-squares estimator in
astrometry in terms of a comparison with the Cramer-Rao lower variance bound.
In this inference context the performance of the least-squares estimator does
not offer a closed-form expression, but a new result is presented (Theorem 1)
where both the bias and the mean-square-error of the least-squares estimator
are bounded and approximated analytically, in the latter case in terms of a
nominal value and an interval around it. From the predicted nominal value we
analyze how efficient is the least-squares estimator in comparison with the
minimum variance Cramer-Rao bound. Based on our results, we show that, for the
high signal-to-noise ratio regime, the performance of the least-squares
estimator is significantly poorer than the Cramer-Rao bound, and we
characterize this gap analytically. On the positive side, we show that for the
challenging low signal-to-noise regime (attributed to either a weak
astronomical signal or a noise-dominated condition) the least-squares estimator
is near optimal, as its performance asymptotically approaches the Cramer-Rao
bound. However, we also demonstrate that, in general, there is no unbiased
estimator for the astrometric position that can precisely reach the Cramer-Rao
bound. We validate our theoretical analysis through simulated digital-detector
observations under typical observing conditions. We show that the nominal value
for the mean-square-error of the least-squares estimator (obtained from our
theorem) can be used as a benchmark indicator of the expected statistical
performance of the least-squares method under a wide range of conditions. Our
results are valid for an idealized linear (one-dimensional) array detector
where intra-pixel response changes are neglected, and where flat-fielding is
achieved with very high accuracy.Comment: 35 pages, 8 figures. Accepted for publication by PAS
Are there hadronic bound states above the QCD transition temperature?
Recent lattice QCD calculations, at physical pion masses and small lattice
spacings that approach the continuum limit, have revealed that non-diagonal
quark correlators above the critical temperature are finite up to about 2
. Since the transition from hadronic to free partonic degrees of freedom
is merely an analytic cross-over, it is likely that, in the temperature regime
between 1-2 , quark and gluon quasiparticles and pre-hadronic bound states
can coexist. The correlator values, in comparison to PNJL model calculations
beyond mean-field, indicate that at least part of the mixed phase resides in
color-neutral bound states. A similar effect was postulated for the in-medium
fragmentation process, i.e. for partons which do not thermalize with the system
and thus constitute the non-equilibrium component of the particle emission
spectrum from a deconfined plasma phase. Here, for the first time we
investigate the likelihood of forming bound states also in the equilibrated,
parton dominated phase above which is described by lattice QCD.Comment: 15 pages, 4 Figure
Orbits for eighteen visual binaries and two double-line spectroscopic binaries observed with HRCAM on the CTIO SOAR 4m telescope, using a new Bayesian orbit code based on Markov Chain Monte Carlo
We present orbital elements and mass sums for eighteen visual binary stars of
spectral types B to K (five of which are new orbits) with periods ranging from
20 to more than 500 yr. For two double-line spectroscopic binaries with no
previous orbits, the individual component masses, using combined astrometric
and radial velocity data, have a formal uncertainty of ~0.1 MSun. Adopting
published photometry, and trigonometric parallaxes, plus our own measurements,
we place these objects on an H-R diagram, and discuss their evolutionary
status. These objects are part of a survey to characterize the binary
population of stars in the Southern Hemisphere, using the SOAR 4m
telescope+HRCAM at CTIO. Orbital elements are computed using a newly developed
Markov Chain Monte Carlo algorithm that delivers maximum likelihood estimates
of the parameters, as well as posterior probability density functions that
allow us to evaluate the uncertainty of our derived parameters in a robust way.
For spectroscopic binaries, using our approach, it is possible to derive a
self-consistent parallax for the system from the combined astrometric plus
radial velocity data ("orbital parallax"), which compares well with the
trigonometric parallaxes. We also present a mathematical formalism that allows
a dimensionality reduction of the feature space from seven to three search
parameters (or from ten to seven dimensions - including parallax - in the case
of spectroscopic binaries with astrometric data), which makes it possible to
explore a smaller number of parameters in each case, improving the
computational efficiency of our Markov Chain Monte Carlo code.Comment: 32 pages, 9 figures, 6 tables. Detailed Appendix with methodology.
Accepted by The Astronomical Journa
Optimality of the Maximum Likelihood estimator in Astrometry
The problem of astrometry is revisited from the perspective of analyzing the
attainability of well-known performance limits (the Cramer-Rao bound) for the
estimation of the relative position of light-emitting (usually point-like)
sources on a CCD-like detector using commonly adopted estimators such as the
weighted least squares and the maximum likelihood. Novel technical results are
presented to determine the performance of an estimator that corresponds to the
solution of an optimization problem in the context of astrometry. Using these
results we are able to place stringent bounds on the bias and the variance of
the estimators in close form as a function of the data. We confirm these
results through comparisons to numerical simulations under a broad range of
realistic observing conditions. The maximum likelihood and the weighted least
square estimators are analyzed. We confirm the sub-optimality of the weighted
least squares scheme from medium to high signal-to-noise found in an earlier
study for the (unweighted) least squares method. We find that the maximum
likelihood estimator achieves optimal performance limits across a wide range of
relevant observational conditions. Furthermore, from our results, we provide
concrete insights for adopting an adaptive weighted least square estimator that
can be regarded as a computationally efficient alternative to the optimal
maximum likelihood solution. We provide, for the first time, close-form
analytical expressions that bound the bias and the variance of the weighted
least square and maximum likelihood implicit estimators for astrometry using a
Poisson-driven detector. These expressions can be used to formally assess the
precision attainable by these estimators in comparison with the minimum
variance bound.Comment: 24 pages, 7 figures, 2 tables, 3 appendices. Accepted by Astronomy &
Astrophysic
Herzberg Circuit and Berry's Phase in Chirality-based Coded Qubit in a Triangular Triple Quantum Dot
We present a theoretical proposal for the Herzberg circuit and controlled
accumulation of Berry's phase in a chirality-based coded qubit in a triangular
triple quantum dot molecule with one electron spin each. The qubit is encoded
in the two degenerate states of a three spin complex with total spin .
Using a Hubbard and Heisenberg model the Herzberg circuit encircling the
degeneracy point is realized by adiabatically tuning the successive on-site
energies of quantum dots and tunnel couplings across a pair of neighbouring
dots. It is explicitly shown that encircling the degeneracy point leads to the
accumulation of the geometrical Berrys phase. We show that only triangular but
not linear quantum dot molecule allows for the generation of Berry's phase and
we discuss a protocol to detect this geometrical phase
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