Regression analysis of stochastic fatigue crack growth model in a martingale difference framework
type: Item
instance of: scholarly article
title: Regression analysis of stochastic fatigue crack growth model in a martingale difference framework
zbMATH Open document ID: 1443.62125
author: Chrysanthi Papamichail
author: Salim Bouzebda
author: N. Limnios
published in: Journal of Statistical Theory and Practice
publication date: 2020-07-07T00:00:00Z
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 60J05
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62J02
Mathematics Subject Classification ID: 62M02
zbMATH DE Number: 7218579
zbMATH Keywords: stochastic regression model
zbMATH Keywords: fatigue crack growth
zbMATH Keywords: least squares estimators
zbMATH Keywords: consistency
zbMATH Keywords: asymptotic normality
zbMATH Keywords: martingale differences
zbMATH Keywords: Markov process
zbMATH Keywords: semi-Markov process
MaRDI profile type: Publication
full work available at URL: s42519-020-00110-x
OpenAlex ID: W3036800655
cites work: Strong consistency of least squares estimates in dynamic models
cites work: Sharp oracle inequalities for least squares estimators in shape restricted regression
cites work: Q4399904
cites work: The signed-rank estimator for nonlinear regression with responses missing at random
cites work: The consistency of least-square regularized regression with negative association sequence
cites work: Asymptotic properties for estimates of nonparametric regression model with martingale difference errors
cites work: The consistency for the estimator of nonparametric regression model based on martingale difference errors
cites work: Q5350323
cites work: A method to compute the transition function of a piecewise deterministic Markov process with application to reliability
cites work: Q5270042
cites work: Piecewise deterministic Markov processes applied to fatigue crack growth modelling
cites work: Strong consistency of least squares estimators in linear regression models
cites work: Markov renewal theory
cites work: Q3680030
cites work: Q3136505
cites work: Computational Experience with Confidence Regions and Confidence Intervals for Nonlinear Least Squares
cites work: Q4390474
cites work: �ber die Konsistenz von Parametersch�tzfunktionen f�r ein gemischtes Zeitreihen-Regressionsmodell
cites work: Quasi-Likelihood and Optimal Estimation, Correspondent Paper
cites work: Q3247497
cites work: Asymptotic expansions for quadratic functionals of the least squares estimator of a nonlinear regression parameter
cites work: Q3911791
cites work: Quasi-likelihood and its application. A general approach to optimal parameter estimation
cites work: Q5635252
cites work: Robust regression: Asymptotics, conjectures and Monte Carlo
cites work: REGRESSION ASYMPTOTICS USING MARTINGALE CONVERGENCE METHODS
cites work: Conditional least squares estimation in nonstationary nonlinear stochastic regression models
cites work: Q3378427
cites work: Asymptotic Properties of Non-Linear Least Squares Estimators
cites work: Q3376049
cites work: Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process
cites work: Asymptotic properties of nonlinear least squares estimates in stochastic regression models
cites work: Consistency and asymptotic efficiency of slope estimates in stochastic approximation schemes
cites work: Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems
cites work: Strong consistency of least squares estimates in multiple regression
cites work: Strong consistency of least squares estimates in multiple regression II
cites work: Q4219536
cites work: Testing Statistical Hypotheses
cites work: Estimation in nonlinear regression with Harris recurrent Markov chains
cites work: Semi-Markov processes and reliability
cites work: A stochastic theory of fatigue crack propagation
cites work: Q4877488
cites work: Fuzzy weighted least squares support vector regression with data reduction for nonlinear system modeling
cites work: The Consistency of Nonlinear Regressions
cites work: Q3909892
cites work: Feasible generalized least squares using support vector regression
cites work: A note on strong consistency of least squares estimators in regression models with martingale difference errors
cites work: Stochastic differential equations. An introduction with applications.
cites work: Parametric statistical theory: with the assistance of R. Hamböker
cites work: The rate of convergence of the least squares estimator in a non-linear regression model with dependent errors

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Weak convergence of lease squares process in the smooth case

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Asymptotic properties of nonlinear estimates in stochastic models with finite design space

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Markov Renewal Processes: Definitions and Preliminary Properties

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Consistency of the total least squares estimator in the linear errors-in-variables regression

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: On the Theory of Markov Renewal

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Strong consistency in nonlinear stochastic regression models.

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Stochastic approach to fatigue: experiments, modelling and reliability estimation

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Analysis of regularized least squares for functional linear regression model

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Asymptotic Statistics

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Rectangular Confidence Regions for the Means of Multivariate Normal Distributions

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Asymptotics of least-squares estimators for constrained nonlinear regression

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: On consistency of the weighted least squares estimators in a semiparametric regression model

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Q4044015

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Asymptotic theory of nonlinear least squares estimation

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: Limit behaviors of the estimator of nonparametric regression model based on martingale difference errors

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (cites work)
cites work: A wavelet estimator in a nonparametric regression model with repeated measurements under martingale difference error's structure

Regression analysis of stochastic fatigue crack growth model in a martingale difference framework (DOI)
DOI: 10.1007/S42519-020-00110-X