Regression analysis of stochastic fatigue crack growth model in a martingale difference framework
DOI10.1007/s42519-020-00110-xzbMath1443.62125OpenAlexW3036800655MaRDI QIDQ777851
Chrysanthi Papamichail, Salim Bouzebda, Nikolaos Limnios
Publication date: 7 July 2020
Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42519-020-00110-x
consistencyasymptotic normalityfatigue crack growthMarkov processmartingale differencessemi-Markov processleast squares estimatorsstochastic regression model
Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) General nonlinear regression (62J02) Discrete-time Markov processes on general state spaces (60J05) Probability distributions: general theory (60E05) Markov processes: hypothesis testing (62M02)
Cites Work
- The consistency for the estimator of nonparametric regression model based on martingale difference errors
- Estimation in nonlinear regression with Harris recurrent Markov chains
- The signed-rank estimator for nonlinear regression with responses missing at random
- Stochastic approach to fatigue: experiments, modelling and reliability estimation
- A wavelet estimator in a nonparametric regression model with repeated measurements under martingale difference error's structure
- Strong consistency of least squares estimates in multiple regression II
- The rate of convergence of the least squares estimator in a non-linear regression model with dependent errors
- Conditional least squares estimation in nonstationary nonlinear stochastic regression models
- A method to compute the transition function of a piecewise deterministic Markov process with application to reliability
- Piecewise deterministic Markov processes applied to fatigue crack growth modelling
- Asymptotic properties of nonlinear estimates in stochastic models with finite design space
- Strong consistency of least squares estimators in linear regression models
- Asymptotic theory of nonlinear least squares estimation
- A note on strong consistency of least squares estimators in regression models with martingale difference errors
- Strong consistency of least squares estimates in dynamic models
- Asymptotic expansions for quadratic functionals of the least squares estimator of a nonlinear regression parameter
- Parametric statistical theory: with the assistance of R. Hamböker
- Quasi-likelihood and its application. A general approach to optimal parameter estimation
- Limit behaviors of the estimator of nonparametric regression model based on martingale difference errors
- Feasible generalized least squares using support vector regression
- Fuzzy weighted least squares support vector regression with data reduction for nonlinear system modeling
- Sharp oracle inequalities for least squares estimators in shape restricted regression
- On consistency of the weighted least squares estimators in a semiparametric regression model
- Analysis of regularized least squares for functional linear regression model
- Asymptotics of least-squares estimators for constrained nonlinear regression
- Robust regression: Asymptotics, conjectures and Monte Carlo
- Strong consistency in nonlinear stochastic regression models.
- Asymptotic properties of nonlinear least squares estimates in stochastic regression models
- Consistency of the total least squares estimator in the linear errors-in-variables regression
- Asymptotic properties for estimates of nonparametric regression model with martingale difference errors
- On the Theory of Markov Renewal
- A stochastic theory of fatigue crack propagation
- REGRESSION ASYMPTOTICS USING MARTINGALE CONVERGENCE METHODS
- Computational Experience with Confidence Regions and Confidence Intervals for Nonlinear Least Squares
- Quasi-Likelihood and Optimal Estimation, Correspondent Paper
- Consistency and asymptotic efficiency of slope estimates in stochastic approximation schemes
- Strong consistency of least squares estimates in multiple regression
- Asymptotic Statistics
- The consistency of least-square regularized regression with negative association sequence
- Weak convergence of lease squares process in the smooth case
- Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process
- Testing Statistical Hypotheses
- Rectangular Confidence Regions for the Means of Multivariate Normal Distributions
- Asymptotic Properties of Non-Linear Least Squares Estimators
- The Consistency of Nonlinear Regressions
- Markov renewal theory
- Markov Renewal Processes: Definitions and Preliminary Properties
- [https://portal.mardi4nfdi.de/wiki/Publication:5734828 �ber die Konsistenz von Parametersch�tzfunktionen f�r ein gemischtes Zeitreihen-Regressionsmodell]
- Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems
- Semi-Markov processes and reliability
- Stochastic differential equations. An introduction with applications.
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