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Let $X_{1},..,X_{n}$ denote an i.i.d. sample with light tail distribution and $S_{1}^{n}$ denote the sum of its terms; let $a_{n}$ be a real sequence\ going to infinity with $n.$\ In a previous paper ...
In this paper, we propose new sequential estimation methodsbased on inclusion principle. The main idea is to reformulate the estimation problems as constructing sequential random intervals and use con...
This note demonstrates that it is possible to bound the expectation of an arbitrary norm of a random matrix drawn from the Stiefel manifold in terms of the expected norm of a standard Gaussian matrix ...
Principle d'invariance faible pour la fonction de rapartition empirique dans un cadre multidimensionnel et melangeant。
Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces。
An invariance principle for processes indexed by two parameters and some statistical applications。
On a limit theorem and invariance principle for symmetric statistics。
The paper is devoted to a study of the extremal rearrangement property of statistical solutions of Burgers' equation with initial input generated by the Brownian motion or by a Poisson process.
We consider stationary homogeneous Markov chains and the polygonal processes defined by a usual way using such chains. There are many results about invariance principles of those processes. In this...
We prove a contraction principle for vector-valued martingales of type where X is a Banach space with elements x,, . . ., x,,, (A& c Ll (9, P) a martingale difference sequence belonging to a certai...
The purpose of the paper is to establish a large deviation principle for a certain class of increasing set-valued processes obeying Markovian dynamics. The obtained result is then applied to invest...
We study the relationship between the distribution of the supremum functional M, = sup,,,,,(X(t)-fit) for a process X with stationary, but not necessarily independent increments, and the I limiting...
Recently, regression model for the long-term survival probabilities of patients was proposed, and a semiparametric inference procedure was developed based on missing information principle. In this p...

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