51,375 research outputs found
Recapturing the Spirit of Furman: The American Bar Association and the New Abolitionist Politics
Sarat locates the American Bar Association\u27s call for a moratorium on executions in the context of modern abolitionist politics. New abolitionism links anti-death penalty work with a broader civil rights agenda
Recapturing the Spirit of Furman: The American Bar Association and the New Abolitionist Politics
Sarat locates the American Bar Association\u27s call for a moratorium on executions in the context of modern abolitionist politics. New abolitionism links anti-death penalty work with a broader civil rights agenda
Book Review
reviewing, Charles J. Ogletree, Jr. & Austin Sarat eds., When Law Fails: Making Sense of Miscarriages of Justice, (2009
Hierarchical mixture models for assessing fingerprint individuality
The study of fingerprint individuality aims to determine to what extent a
fingerprint uniquely identifies an individual. Recent court cases have
highlighted the need for measures of fingerprint individuality when a person is
identified based on fingerprint evidence. The main challenge in studies of
fingerprint individuality is to adequately capture the variability of
fingerprint features in a population. In this paper hierarchical mixture models
are introduced to infer the extent of individualization. Hierarchical mixtures
utilize complementary aspects of mixtures at different levels of the hierarchy.
At the first (top) level, a mixture is used to represent homogeneous groups of
fingerprints in the population, whereas at the second level, nested mixtures
are used as flexible representations of distributions of features from each
fingerprint. Inference for hierarchical mixtures is more challenging since the
number of unknown mixture components arise in both the first and second levels
of the hierarchy. A Bayesian approach based on reversible jump Markov chain
Monte Carlo methodology is developed for the inference of all unknown
parameters of hierarchical mixtures. The methodology is illustrated on
fingerprint images from the NIST database and is used to make inference on
fingerprint individuality estimates from this population.Comment: Published in at http://dx.doi.org/10.1214/09-AOAS266 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Regenerative Simulation for Queueing Networks with Exponential or Heavier Tail Arrival Distributions
Multiclass open queueing networks find wide applications in communication,
computer and fabrication networks. Often one is interested in steady-state
performance measures associated with these networks. Conceptually, under mild
conditions, a regenerative structure exists in multiclass networks, making them
amenable to regenerative simulation for estimating the steady-state performance
measures. However, typically, identification of a regenerative structure in
these networks is difficult. A well known exception is when all the
interarrival times are exponentially distributed, where the instants
corresponding to customer arrivals to an empty network constitute a
regenerative structure. In this paper, we consider networks where the
interarrival times are generally distributed but have exponential or heavier
tails. We show that these distributions can be decomposed into a mixture of
sums of independent random variables such that at least one of the components
is exponentially distributed. This allows an easily implementable embedded
regenerative structure in the Markov process. We show that under mild
conditions on the network primitives, the regenerative mean and standard
deviation estimators are consistent and satisfy a joint central limit theorem
useful for constructing asymptotically valid confidence intervals. We also show
that amongst all such interarrival time decompositions, the one with the
largest mean exponential component minimizes the asymptotic variance of the
standard deviation estimator.Comment: A preliminary version of this paper will appear in Proceedings of
Winter Simulation Conference, Washington, DC, 201
Repo auction formats, bidders' behaviour and money market response in India
The treasury securities repo-auction is an important instrument for central banks in managing liquidity and sending interest rate signal to the money market. In the Indian context, the repo-auctions have been used actively in the post-reform period. The present study illustrates the money market reaction to repo-auctions and points out whether such reaction is consistent with applied auction rules. The policy implications are analysed in the light of alternative rules pertaining to discriminatory price auctions and fixed rate repos.Repo Auction Formats; Money Market Response
Inference for Differential Equation Models using Relaxation via Dynamical Systems
Statistical regression models whose mean functions are represented by
ordinary differential equations (ODEs) can be used to describe phenomenons
dynamical in nature, which are abundant in areas such as biology, climatology
and genetics. The estimation of parameters of ODE based models is essential for
understanding its dynamics, but the lack of an analytical solution of the ODE
makes the parameter estimation challenging. The aim of this paper is to propose
a general and fast framework of statistical inference for ODE based models by
relaxation of the underlying ODE system. Relaxation is achieved by a properly
chosen numerical procedure, such as the Runge-Kutta, and by introducing
additive Gaussian noises with small variances. Consequently, filtering methods
can be applied to obtain the posterior distribution of the parameters in the
Bayesian framework. The main advantage of the proposed method is computation
speed. In a simulation study, the proposed method was at least 14 times faster
than the other methods. Theoretical results which guarantee the convergence of
the posterior of the approximated dynamical system to the posterior of true
model are presented. Explicit expressions are given that relate the order and
the mesh size of the Runge-Kutta procedure to the rate of convergence of the
approximated posterior as a function of sample size
- …