Reliability modeling of two-phase inverse Gaussian degradation process

2017 ◽  
Author(s):  
Fengjun Duan ◽  
Guanjun Wang
Keyword(s):  
Degradation Process ◽  
Inverse Gaussian ◽  
Two Phase ◽  
Reliability Modeling

scholarly journals Reliability Modeling for Systems with Multiple Degradation Processes Using Inverse Gaussian Process and Copulas

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Zhenyu Liu ◽  
Xiaobing Ma ◽  
Jun Yang ◽  
Yu Zhao
Keyword(s):  
Degradation Process ◽  
Reliability Estimation ◽  
Scale Transformation ◽  
Distribution Model ◽  
Inverse Gaussian ◽  
Random Drift ◽  
Reliability Modeling ◽  
Degradation Processes ◽  
Inverse Gaussian Process ◽  
Comparison Results

We develop a reliability model for systems with s-dependent degradation processes using copulas. The proposed model accommodates assumptions of s-dependence among degradation processes and allows for different marginal distributions. This flexibility makes the model more attractive compared with the multivariate distribution model, which lay on the limitation of the homogeneous marginal distribution and can only describe linear correlation. Marginal degradation process is modeled by the inverse Gaussian (IG) process with time scale transformation. Furthermore, we incorporate random drift to account for the possible heterogeneity in population. This paper also develops the statistical inference method using EM algorithm with two-stage procedure. The comparison results of the reliability estimation under both s-dependent and s-independent assumptions are illustrated in the illustrative example to demonstrate the applicability of the proposed method.

Two-Phase Degradation Process Model With Abrupt Jump at Change Point Governed by Wiener Process

2017 ◽  
Vol 66 (4) ◽  
pp. 1345-1360 ◽  
Author(s):  
Dejing Kong ◽  
Narayanaswamy Balakrishnan ◽  
Lirong Cui
Keyword(s):  
Wiener Process ◽  
Change Point ◽  
Process Model ◽  
Degradation Process ◽  
Two Phase ◽  
Abrupt Jump

Real-time reliability evaluation of two-phase Wiener degradation process

2016 ◽  
Vol 46 (1) ◽  
pp. 176-188 ◽  
Author(s):  
Wei-an Yan ◽  
Bao-wei Song ◽  
Gui-lin Duan ◽  
Yi-min Shi
Keyword(s):  
Real Time ◽  
Degradation Process ◽  
Reliability Evaluation ◽  
Two Phase

scholarly journals Microbial interactions and implications for oil biodegradation process in mangrove sediments

2015 ◽  
Author(s):  
Adriana Daudt Grativol ◽  
Albany Marchetti ◽  
Rita M Wetler-Tonini ◽  
Thiago M Venancio ◽  
Carlos EN Gatts ◽  
...  
Keyword(s):  
Community Dynamics ◽  
Oil Pollution ◽  
Degradation Process ◽  
Microbial Interactions ◽  
Mangrove Sediment ◽  
Phase Pattern ◽  
Mangrove Sediments ◽  
Two Phase ◽  
Oil Biodegradation ◽  
Bacterial Community Dynamics

Mangrove sediment harbors a unique microbiome and is a hospitable environment for the growth of a diverse group of bacteria capable of oil biodegradation. Our goal was to understand bacterial community dynamics from mangrove sediments under heavy-oil contamination stress, and to look for common patterns that may be associated with oil biodegradation is such environments. We tested the hypothesis of a two-phase pattern of petroleum biodegradation, already reported in the literature, where key events in the degradation process take place in the first three weeks after the contamination. Two sample sites with different oil pollution history were compared through T-RFLP analyses and using a pragmatic approach based on the Microbial Resource Management Framework. Our data corroborated the already reported two-phase pattern of oil biodegradation, although the original proposed explanation is questioned, opening up the possibility to consider other plausible hypothesis of microbial interactions as the main drivers of this pattern.

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