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Given two samples of continuous zero-mean iid Gaussian processes on [0,1], we consider the problem of testing whether they share the same covariance structure. Our study is motivated by the problem of determining whether the mechanical properties of short strands of DNA are significantly affected by their base-pair sequence; though expected to be true, had… (More)

A framework is introduced for the study of general Radon shape diffusions, that is, shape diffusions induced by projections of randomly rotating shapes. This is done via a convenient representation of unoriented Radon shape diffusions in (unoriented) D.G. Kendall shape space ̃k n through a Brownian motion on the hypersphere. This representation leads to a… (More)

- Victor M. Panaretos
- Journal of mathematical biology
- 2007

At the offset of a (stochastic) epidemic, it is of importance to have a mathematical model that will assist in the making of an informed judgement on whether the epidemic will explode, or will be minor and die out. In this paper, we consider probabilistic inferences related to the event of extinction of a discrete time branching process when this cannot be… (More)

We consider the problem of estimation in a partially observed discrete-time Galton– Watson branching process, focusing on the first twomoments of the offspring distribution. Our study is motivated by modelling the counts of new cases at the onset of a stochastic epidemic, allowing for the facts that only a part of the cases is detected, and that the… (More)

1. Introduction Pollard and Reep (1997) point out that " soccer coaches, players, fans, and the media are deeply skeptical and often suspicious, to the point of paranoia, at the suggestion that a statistician might have something useful to offer […] ". Statisticians, though, have a different opinion. Statistical interest on the aspects of the game has been… (More)

- Matthieu Wilhelm, Laura M. Sangalli, Politenico di Milano, Victor M. Panaretos, Laura M. Sangalli
- 2013

We propose a novel method for the analysis of spatially distributed data from an exponential family distribution, able to efficiently treat data occurring over irregularly shaped domains. We consider a generalized linear framework and extend the work of Sangalli et al. (2013) to distributions other than the Gaussian. In particular, we can handle all… (More)

- RADON SHAPE, Victor M. Panaretos
- 2006

Almost thirty years ago, D.G. Kendall [8] considered diffusions of shape induced by independent Brownian motions in Euclidean space. In this paper, we consider a different class of diffusions of shape, induced by the projections of a randomly rotating labelled ensemble. In particular, we study diffusions of shapes induced by projections of planar triangular… (More)

- Mikael Kuusela, Epfl Prof Smat, Victor M. Panaretos, Epfl Smat
- 2014

We formulate and investigate a statistical inverse problem of a random tomographic nature, where a probability density function on R is to be recovered from observation of finitely many of its twodimensional projections in random and unobservable directions. Such a problem is distinct from the classic problem of tomography where both the projections and the… (More)

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