bibtype	C - Conference Paper (international conference)
ARLID	0411068
utime	20240103182259.4
mtime	20060210235959.9
title (primary) (eng)	A central limit theorem for conditionally centred random fields with an application to testing statistical hypotheses
publisher	place Budapest name János Bolyai Mathematical Society pub_time 2002
specification	page_count 15 s.
serial	title Limit Theorems in Probability and Statistics page_num 209-223 editor name1 Berkes name2 I. editor name1 Csáki name2 E. editor name1 Csörgö name2 M.
keyword	central limit theorem
keyword	conditionally centred random fields
keyword	composite hypotheses
author (primary)	ARLID cav_un_auth*0101114 name1 Janžura name2 Martin institution UTIA-B full_dept Department of Stochastic Informatics fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI	12A
cas_special	project project_id GA201/99/0269 agency GA ČR ARLID cav_un_auth*0005940 research CEZ:AV0Z1075907 abstract (eng) We prove a central limit theorem for conditionally centered random field, under condition of strict positivity of the empirical variance per observation. We use a random normalization, which fits to non-stationary situations. The theorem directly applied to Markov random fields, including the case of phase transition and lack of stationarity. A consequence is the asymptotic normality of a statistics for testing a composite hypotheses on a parameter of Markov fields in complete generality. action ARLID cav_un_auth*0213005 name Limit Theorems in Probability and Statistics place Balatonlelle country HU dates 28.06.1999-02.07.1999 RIV BA department SI permalink http://hdl.handle.net/11104/0131155 ID_orig UTIA-B 20030055 arlyear 2002 mrcbU10 2002 mrcbU10 Budapest János Bolyai Mathematical Society mrcbU63 Limit Theorems in Probability and Statistics 209 223 mrcbU67 Berkes I. 340 mrcbU67 Csáki E. 340 mrcbU67 Csörgö M. 340