Asymptotic Theory for non i.i.d. Processes

Proceedings of the 5th Franco-Belgian Meeting of Statisticians, november 1984

This volume contains a selection of papers presented at the Fifth Franco-Belgian Meeting of Statisticians, held in Luminy-Marseille (France) on November 23-24, 1984. The diversity of these papers reflects the broadness of the topic of the meeting : the asymptotic theory for non i.i.d. processes.
First of all, asymptotic theory is focused on various types of convergence : almost sure convergence, convergence in distribution and convergence in variation.
In an other direction, relaxing the hypothesis of i.i.d. processes leads to consider a large variety of situations, characterized either by hypotheses on the marginal model (i.e. after integration with respect to parameters or exogenous variables) such as stationarity, exchangeability of Markovian property or by assumptions on the model conditionally on exogenoous variables.
The main tools used in such situations are martingale theory and the ergodic theorem. They may be applied in various situations such as posterior expectations in Bayesian analysis, rational expectations, generalized residuals and mixing conditions in conditional models or predictions in nonstationary q-dependent processes. All the above concepts are met both theoretically and through applications in the present volume.

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Presses universitaires Saint-Louis Bruxelles
Edited by
J. P. Florens, M. Mouchart, J.P. Raoult, L. Simar,
Travaux et Recherches
Publisher Category
Natural Sciences > Mathematics > Probabilities and Statistics
Publisher Category
Natural Sciences > Mathematics
Publisher Category
Natural Sciences
Onix Audience Codes
06 Professional and scholarly
Title First Published
01 January 1986
Type of Work

Livre broché

Publication Date
01 January 1986
Main content page count : 242
363 grams
List Price
15.37 €
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