Wiener processes with random effects for degradation data

Article Properties
Journal Categories
Science
Mathematics
Science
Mathematics
Probabilities
Mathematical statistics
Social Sciences
Commerce
Business
Accounting
Bookkeeping
Social Sciences
Finance
Refrences
Title Journal Journal Categories Citations Publication Date
Two likelihood-based semiparametric estimation methods for panel count data with covariates The Annals of Statistics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
96 2007
A geometric Brownian motion model for field degradation data 2004
Covariate and random effects in a Gamma process model with application to degradation and failure 2004
Two estimators of the mean of a counting process with panel count data The Annals of Statistics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
100 2000
Estimation in degradation models with explanatory variables 2000
Citations
Title Journal Journal Categories Citations Publication Date
Reliability estimation from two types of accelerated testing considering individual difference and measurement error Probabilistic Engineering Mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2024
A hybrid prognosis scheme for rolling bearings based on a novel health indicator and nonlinear Wiener process Reliability Engineering & System Safety
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering
  • Technology: Engineering (General). Civil engineering (General)
14 2024
Bayesian Fusion of Degradation and Failure Time Data for Reliability Assessment of Industrial Equipment Considering Individual Differences

Processes
  • Technology: Chemical technology: Chemical engineering
  • Technology: Chemical technology: Chemical engineering
  • Science: Chemistry
2024
A Physics-Based Tweedie Exponential Dispersion Process Model for Metal Fatigue Crack Propagation and Prognostics

Processes
  • Technology: Chemical technology: Chemical engineering
  • Technology: Chemical technology: Chemical engineering
  • Science: Chemistry
2024
Statistical inference for a competing failure model based on the Wiener process and Weibull distribution

Mathematical Biosciences and Engineering 2024
Citations Analysis
Category Category Repetition
Technology: Engineering (General). Civil engineering (General)137
Technology: Technology (General): Industrial engineering. Management engineering90
Technology: Manufactures: Production management. Operations management89
Technology: Technology (General): Industrial engineering. Management engineering: Information technology78
Science: Mathematics61
Science: Mathematics: Probabilities. Mathematical statistics50
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics48
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks43
Technology: Mechanical engineering and machinery29
Science: Mathematics: Instruments and machines: Electronic computers. Computer science28
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software20
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware20
Science: Physics13
Science: Science (General): Cybernetics: Information theory13
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication12
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials11
Technology: Electrical engineering. Electronics. Nuclear engineering11
Technology: Chemical technology9
Technology: Motor vehicles. Aeronautics. Astronautics8
Science: Chemistry7
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics7
Social Sciences: Commerce: Business7
Social Sciences: Economic theory. Demography: Economics as a science7
Technology: Mining engineering. Metallurgy6
Science: Mathematics: Instruments and machines5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Science: Biology (General)4
Technology: Environmental technology. Sanitary engineering4
Science: Science (General)4
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade3
Technology: Chemical technology: Chemical engineering3
Social Sciences: Commerce: Business: Personnel management. Employment management2
Science: Chemistry: General. Including alchemy2
Technology2
Science: Physics: Heat: Thermodynamics2
Science: Physics: Acoustics. Sound2
Medicine: Medicine (General): Computer applications to medicine. Medical informatics2
Science2
Technology: Manufactures2
Science: Chemistry: Physical and theoretical chemistry1
Science: Physics: Optics. Light1
Medicine: Internal medicine: Special situations and conditions: Industrial medicine. Industrial hygiene1
Medicine: Medicine (General)1
Medicine: Medicine (General): Medical technology1
Social Sciences1
Technology: Engineering (General). Civil engineering (General): Environmental engineering1
Science: Biology (General): Ecology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Production of electric energy or power. Powerplants. Central stations1
Social Sciences: Statistics1
The category Technology: Engineering (General). Civil engineering (General) 137 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A continuous-state Markov model for age- and state-dependent degradation processes and was published in 2011. The most recent citation comes from a 2024 study titled A Physics-Based Tweedie Exponential Dispersion Process Model for Metal Fatigue Crack Propagation and Prognostics. This article reached its peak citation in 2020, with 42 citations. It has been cited in 99 different journals, 14% of which are open access. Among related journals, the Reliability Engineering & System Safety cited this research the most, with 29 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year