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Commodity Bundling: The Gaussian Case*
"... In order to obtain comparative results for alternative pricing strategies, the distribution of buyers ' reservation prices in the AdamsYellen framework is assumed to be bivariate normal. Pure bundling then operates by reducing effective buyer diversity, thus facilitating capture of consumers & ..."
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In order to obtain comparative results for alternative pricing strategies, the distribution of buyers ' reservation prices in the AdamsYellen framework is assumed to be bivariate normal. Pure bundling then operates by reducing effective buyer diversity, thus facilitating capture of consumers ' surplus. It apparently always makes buyers worse off than unbundled sales; it is more profitable if average reservation prices are high enough. Mixed bundling combines advantages of both pure bundling and unbundled sales, and it is apparently generally more profitable than either. Bundling policies, which treat both goods symmetrically, seem most attractive under symmetric reservation price distributions.
Faithfulness in Chain Graphs: The Gaussian Case
"... This paper deals with chain graphs under the classic LauritzenWermuthFrydenberg interpretation. We prove that almost all the regular Gaussian distributions that factorize with respect to a chain graph are faithful to it. This result has three important consequences. First, chain graphs are more po ..."
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Cited by 4 (4 self)
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This paper deals with chain graphs under the classic LauritzenWermuthFrydenberg interpretation. We prove that almost all the regular Gaussian distributions that factorize with respect to a chain graph are faithful to it. This result has three important consequences. First, chain graphs are more
Longitudinal data analysis using generalized linear models”.
 Biometrika,
, 1986
"... SUMMARY This paper proposes an extension of generalized linear models to the analysis of longitudinal data. We introduce a class of estimating equations that give consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence. The estimating ..."
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Cited by 1526 (8 self)
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. The estimating equations are derived without specifying the joint distribution of a subject's observations yet they reduce to the score equations for multivariate Gaussian outcomes. Asymptotic theory is presented for the general class of estimators. Specific cases in which we assume independence, m
Secure spread spectrum watermarking for multimedia
 IEEE TRANSACTIONS ON IMAGE PROCESSING
, 1997
"... This paper presents a secure (tamperresistant) algorithm for watermarking images, and a methodology for digital watermarking that may be generalized to audio, video, and multimedia data. We advocate that a watermark should be constructed as an independent and identically distributed (i.i.d.) Gauss ..."
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Cited by 1100 (10 self)
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. In these cases, the watermark detector unambiguously identifies the owner. Further, the use of Gaussian noise, ensures strong resilience to multipledocument, or collusional, attacks. Experimental results are provided to support these claims, along with an exposition of pending open problems.
Mean shift, mode seeking, and clustering
 IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 1995
"... Mean shift, a simple iterative procedure that shifts each data point to the average of data points in its neighborhood, is generalized and analyzed in this paper. This generalization makes some kmeans like clustering algorithms its special cases. It is shown that mean shift is a modeseeking proce ..."
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Cited by 624 (0 self)
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Mean shift, a simple iterative procedure that shifts each data point to the average of data points in its neighborhood, is generalized and analyzed in this paper. This generalization makes some kmeans like clustering algorithms its special cases. It is shown that mean shift is a mode
Contour Tracking By Stochastic Propagation of Conditional Density
, 1996
"... . In Proc. European Conf. Computer Vision, 1996, pp. 343356, Cambridge, UK The problem of tracking curves in dense visual clutter is a challenging one. Trackers based on Kalman filters are of limited use; because they are based on Gaussian densities which are unimodal, they cannot represent s ..."
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Cited by 661 (23 self)
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. In Proc. European Conf. Computer Vision, 1996, pp. 343356, Cambridge, UK The problem of tracking curves in dense visual clutter is a challenging one. Trackers based on Kalman filters are of limited use; because they are based on Gaussian densities which are unimodal, they cannot represent
Stable signal recovery from incomplete and inaccurate measurements,”
 Comm. Pure Appl. Math.,
, 2006
"... Abstract Suppose we wish to recover a vector x 0 ∈ R m (e.g., a digital signal or image) from incomplete and contaminated observations y = Ax 0 + e; A is an n × m matrix with far fewer rows than columns (n m) and e is an error term. Is it possible to recover x 0 accurately based on the data y? To r ..."
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Cited by 1397 (38 self)
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, suppose that A is a Gaussian random matrix; then stable recovery occurs for almost all such A's provided that the number of nonzeros of x 0 is of about the same order as the number of observations. As a second instance, suppose one observes few Fourier samples of x 0 ; then stable recovery occurs
Resistant outlier rules and the nonGaussian case¤
, 1998
"... The techniques of exploratory data analysis include a resistant rule, based on a linear combination of quartiles, for identi¯cation of outliers. This paper shows that the substitution of the quartiles with the median leads to a better performance in the nonGaussian case. The improvement occurs in t ..."
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The techniques of exploratory data analysis include a resistant rule, based on a linear combination of quartiles, for identi¯cation of outliers. This paper shows that the substitution of the quartiles with the median leads to a better performance in the nonGaussian case. The improvement occurs
Optimal quadratic quantization for numerics: the Gaussian case
 Monte Carlo Methods and Applications
, 2003
"... Optimal quantization has been recently revisited in numerical integration in high dimension (see [18]), in Control Theory (see [19]) and in Nonlinear Filtering Theory (see [20]). In this paper, we enlight numerical procedures in order to get optimal quadratic quantization of the Gaussian law. We stu ..."
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Cited by 48 (13 self)
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Optimal quantization has been recently revisited in numerical integration in high dimension (see [18]), in Control Theory (see [19]) and in Nonlinear Filtering Theory (see [20]). In this paper, we enlight numerical procedures in order to get optimal quadratic quantization of the Gaussian law. We
Fading relay channels: Performance limits and spacetime signal design
 IEEE J. SELECT. AREAS COMMUN
, 2004
"... Cooperative diversity is a transmission technique where multiple terminals pool their resources to form a virtual antenna array that realizes spatial diversity gain in a distributed fashion. In this paper, we examine the basic building block of cooperative diversity systems, a simple fading relay ch ..."
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Cited by 445 (4 self)
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) or decodeandforward (DF) modes. For each protocol, we study the ergodic and outage capacity behavior (assuming Gaussian code books) under the AF and DF modes of relaying. We analyze the spatial diversity performance of the various protocols and find that full spatial diversity (secondorder in this case
Results 1  10
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