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Total positivity order and the normal distribution [PDF]
, 2006 International audienceUnlike the usual stochastic order, total positivity order is closed under conditioning. Here we provide a general formulation of the preservation properties of the order under conditioning; we study certain properties of the order ...
Marco Scarsini +3 more
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Against Performative Positivity
, 2021 I am considered a pessimist—the ‘Daria’ of design—whose standards are too high and too critical. Designers, I would argue, are afraid to embrace dissent because it disrupts the positivity bubble.
Abdulla, Danah
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Totally positive matrices and totally positive hypergraphs
Linear Algebra and its Applications, 2001 This paper characterizes (0,1)-matrices which are totally positive, that is, all their minors are totally positive. First the case of \(1\times 1\) and \(2\times 2\) minors is characterized in terms of interval hypergraphs and then the general case is characterized in terms of a chain of cliques \(C_i\), \(C_i\cap C_j = \emptyset \Leftrightarrow |i-j ...
Kubicki, Grzegorz +2 more
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On stochastic orders and total positivity
ESAIM: Probability and Statistics, 2023 The usual stochastic order and the likelihood ratio order between probability distributions on the real line are reviewed in full generality. In addition, for the distribution of a random pair (X, Y), it is shown that the conditional distributions of Y, given X = x, are increasing in x with respect to the likelihood ratio order if and only if the joint
Lutz Dümbgen, Alexandre Mösching
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Positivity of Continuous-Time Descriptor Systems With Time Delays [PDF]
, 2014 This technical note is concerned with positivity characteristic of continuous-time descriptor systems with time delays. First, a set of necessary and sufficient conditions is presented to check the property.
Yan, Xinggang +3 more
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The Cambanis family of bivariate distributions: Properties and applications
Statistica, 2016 The Cambanis family of bivariate distributions was introduced as a generalization of the Farlie-Gumbel-Morgenstern system. The present work is an attempt to investigate the distributional characteristics and applications of the family.
N. Unnikrishnan Nair +2 more
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Large N analytical functional bootstrap. Part I. 1D CFTs and total positivity
Journal of High Energy Physics, 2023 We initiate the analytical functional bootstrap study of conformal field theories with large N limits. In this first paper we particularly focus on the 1D O(N) vector bootstrap.
Zhijin Li
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Weak Dependence Notions and Their Mutual Relationships
Mathematics, 2020 New weak notions of positive dependence between the components X and Y of a random pair (X,Y) have been considered in recent papers that deal with the effects of dependence on conditional residual lifetimes and conditional inactivity times.
Jorge Navarro +2 more
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Total positivity, spherical series, and hypergeometric functions of matrix argument [PDF]
, 1989 Given a totally positive function K of two real variables, is there a method for establishing the total positivity of K in an “obvious” fashion? In the case in which K(x, y) = f(xy), where f is real-analytic in a neighborhood of zero, we obtain integral ...
Gross, Kenneth I, Richards, Donald St.P
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