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Velocity dispersion profiles of seven dwarf spheroidal galaxies
We present stellar velocity dispersion profiles for seven Milky Way dwarf spheroidal (dSph) satellite galaxies. We have measured 8394 line-of-sight velocities (±2.5 km s-1) for 6804 stars fromExpand
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CLEAN KINEMATIC SAMPLES IN DWARF SPHEROIDALS: AN ALGORITHM FOR EVALUATING MEMBERSHIP AND ESTIMATING DISTRIBUTION PARAMETERS WHEN CONTAMINATION IS PRESENT
We develop an algorithm for estimating parameters of a distribution sampled with contamination. We employ a statistical technique known as expectation maximization (EM). Given models for both memberExpand
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Nonparametric Least Squares Estimation of a Multivariate Convex Regression Function
This paper deals with the consistency of the least squares estimator of a convex regression function when the predictor is multidimensional. We characterize and discuss the computation of such anExpand
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On risk bounds in isotonic and other shape restricted regression problems
We consider the problem of estimating an unknown $\theta\in {\mathbb{R}}^n$ from noisy observations under the constraint that $\theta$ belongs to certain convex polyhedral cones in ${\mathbb{R}}^n$.Expand
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A Computational Framework for Multivariate Convex Regression and Its Variants
ABSTRACT We study the nonparametric least squares estimator (LSE) of a multivariate convex regression function. The LSE, given as the solution to a quadratic program with O(n2) linear constraints (nExpand
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Global risk bounds and adaptation in univariate convex regression
We consider the problem of nonparametric estimation of a convex regression function $$\phi _0$$ϕ0. We study the risk of the least squares estimator (LSE) under the natural squared error loss. We showExpand
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On matrix estimation under monotonicity constraints
We consider the problem of estimating an unknown $n_1 \times n_2$ matrix $\mathbf{\theta^*}$ from noisy observations under the constraint that $\mathbf{\theta}^*$ is nondecreasing in both rows andExpand
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A continuous mapping theorem for the smallest argmax functional
This paper introduces a version of the argmax continuous mapping theorem that applies to M-estimation problems in which the objective functions converge to a limiting process with multipleExpand
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Covering Numbers for Convex Functions
TLDR
In this paper, we study the covering numbers of the space of convex and uniformly bounded functions in multidimension. Expand
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Testing independence and goodness-of-fit in linear models
We consider a linear regression model and propose an omnibus test to simultaneously check the assumption of independence between the error and predictor variables and the goodness-of-fit of theExpand
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