Consistency rates and asymptotic normality of the high risk conditional for functional data

The maximum of the conditional hazard function is a parameter of great importance in seismicity studies, because it constitutes the maximum risk of occurrence of an earthquake in a given interval of time. Using the kernel nonparametric estimates of the first derivative of the conditional hazard func...

Full description

Bibliographic Details
Main Authors:	Rabhi Abbes, Keddani Latifa, Hammou Yassine
Format:	Article
Language:	English
Published:	Sciendo 2015-12-01
Series:	Acta Universitatis Sapientiae: Mathematica
Subjects:	almost complete convergence asymptotic normality conditional hazard function functional data nonparametric estimation
Online Access:	https://doi.org/10.1515/ausm-2015-0015

id	doaj-4f085d1368084181b6cc21ea1edb2978
record_format	Article
spelling	doaj-4f085d1368084181b6cc21ea1edb29782021-09-06T19:40:20ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522015-12-017222024210.1515/ausm-2015-0015ausm-2015-0015Consistency rates and asymptotic normality of the high risk conditional for functional dataRabhi Abbes0Keddani Latifa1Hammou Yassine2Laboratory of Mathematics, Sidi Bel Abbes UniversityStochastic Models Statistics and Applications Laboratory, Moulay Tahar University of SaidaLaboratory of Mathematics, Sidi Bel Abbes UniversityThe maximum of the conditional hazard function is a parameter of great importance in seismicity studies, because it constitutes the maximum risk of occurrence of an earthquake in a given interval of time. Using the kernel nonparametric estimates of the first derivative of the conditional hazard function, we establish uniform convergence properties and asymptotic normality of an estimate of the maximum in the context of independence data.https://doi.org/10.1515/ausm-2015-0015almost complete convergenceasymptotic normalityconditional hazard functionfunctional datanonparametric estimation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rabhi Abbes Keddani Latifa Hammou Yassine
spellingShingle	Rabhi Abbes Keddani Latifa Hammou Yassine Consistency rates and asymptotic normality of the high risk conditional for functional data Acta Universitatis Sapientiae: Mathematica almost complete convergence asymptotic normality conditional hazard function functional data nonparametric estimation
author_facet	Rabhi Abbes Keddani Latifa Hammou Yassine
author_sort	Rabhi Abbes
title	Consistency rates and asymptotic normality of the high risk conditional for functional data
title_short	Consistency rates and asymptotic normality of the high risk conditional for functional data
title_full	Consistency rates and asymptotic normality of the high risk conditional for functional data
title_fullStr	Consistency rates and asymptotic normality of the high risk conditional for functional data
title_full_unstemmed	Consistency rates and asymptotic normality of the high risk conditional for functional data
title_sort	consistency rates and asymptotic normality of the high risk conditional for functional data
publisher	Sciendo
series	Acta Universitatis Sapientiae: Mathematica
issn	2066-7752
publishDate	2015-12-01
description	The maximum of the conditional hazard function is a parameter of great importance in seismicity studies, because it constitutes the maximum risk of occurrence of an earthquake in a given interval of time. Using the kernel nonparametric estimates of the first derivative of the conditional hazard function, we establish uniform convergence properties and asymptotic normality of an estimate of the maximum in the context of independence data.
topic	almost complete convergence asymptotic normality conditional hazard function functional data nonparametric estimation
url	https://doi.org/10.1515/ausm-2015-0015
work_keys_str_mv	AT rabhiabbes consistencyratesandasymptoticnormalityofthehighriskconditionalforfunctionaldata AT keddanilatifa consistencyratesandasymptoticnormalityofthehighriskconditionalforfunctionaldata AT hammouyassine consistencyratesandasymptoticnormalityofthehighriskconditionalforfunctionaldata
_version_	1717768785318903808

Consistency rates and asymptotic normality of the high risk conditional for functional data

Similar Items