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Performance Metrics for Multicast Flows on Random Trees
We consider a flow of data packets from one source to many destinations in a communication network represented by a random oriented tree. The multicast mode is... -
Limit theorems for extreme value estimates of point processes boundaries
We give sufficient conditions to establish central limit theorems and moderate deviation principles for support estimates of Poisson point processes- . The considered... -
Assessing Material Aging from Doubly Censored Data : Weibull Distribution vs....
The versatile Weibull distribution is popular for modeling aging in failure time problems. However, in some situations the only available data are right or left... -
Aggregate and Fractal Tessellations
Consider a sequence of stationary tessellations {Theta^n, n=0,1,...} of R^d consisting of cells {C^n(x_i^n)} with the nuclei {x_i^n}. An aggregate cell of level one,... -
Superposition of Planar Voronoi Tessellations
We study the tessellation defined as the intersection of two independent planar Poisson-Voronoi tessellations and derive the means of its main geometrical... -
Variational Analysis of Functionals of a Poisson Process
Let $F$ be a functional of a Poisson process whose distribution is determined by the intensity measure $\mu$. Considering the expectation $\E$ as a function on the... -
Stopping Sets: Gamma-Type Results and Hitting Properties
Recently in the paper \cite{MolZuy:96} there was established the following Gamma-type result. Given the number $N$ of a homogeneous Poisson process' points defining a... -
Poisson-Voronoi Spanning Trees with Applications to the Optimization of Commu...
We define a family of random trees in the plane. Their nodes of level $k, k=0\thru m$ are the points of a homogeneous Poisson point process $\Pi_k$, whereas their arcs... -
Transient and Stationary Waiting Times in $(\max,+)$--Linear Systems with Poi...
We consider a certain class of vectorial evolution equations, which are linear in the (max,+) semi-field. They can be used to model several types of discrete event... -
Simulations of Large Telecommunication Networks Based on Probabilistic Modeling
We describe a new technique for simulations of large communication networks. This technique is based on a new approach for communication networks modeling by means of... -
Poisson Power Tesselations
We consider generalization of the Voronoi diagram - power diagram, constructed with respect to a Poisson processes with i.i.d. marks (weights). We give first moment of... -
The two-sample problem for Poisson processes: adaptive tests with a non-asymp...
International audience -
Continuum percolation in high dimensions
26 pages, 3 figures -
SINR-based k-coverage probability in cellular networks with arbitrary shadowing
International audience -
Adaptive nonparametric inference for Poissonian interactions
The subject of this thesis is the study of some adaptive nonparametric statistical problems in the framework of a Poisson interactions model. Such models are used, for... -
Equivalence and comparison of heterogeneous cellular networks
International audience -
Modeling Energy Demand Aggregators for Residential Consumers
Energy demand aggregators are new actors in the energy scenario: they gather a group of energy consumers and implement a demand-response paradigm. When the energy... -
Goodness-of-fit tests and nonparametric adaptive estimation for spike train a...
When dealing with classical spike train analysis, the practitioner often performs goodness-of-fit tests to test whether the observed process is a Poisson process, for...
