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Journal of Statistical Computation and Simulation Volume 66, 2000 - Issue 3
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Original Articles

Inverse gaussian accelerated test models based on cumulative damage

A. Onar Department of Management Science, University of Miami, Coral Gables, FL, 33124
&
W.J. Padgett Department of Statistics, University of South Carolina, Columbia, SC, 29208
Pages 233-247 | Received 26 Aug 1999, Published online: 20 Mar 2007

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Cesar Ruiz, Mohammadhossein Heydari, Kelly M. Sullivan, Haitao Liao & Ed Pohl. (2020) Data analysis and resource allocation in Bayesian selective accelerated reliability growth. IISE Transactions 52:3, pages 301-320.
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Mahmut Kara, Halil Aydoğdu & Özlem Türkşen. (2015) Statistical inference for geometric process with the inverse Gaussian distribution. Journal of Statistical Computation and Simulation 85:16, pages 3206-3215.
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Minsu Kim & Suk Joo Bae. (2014) Drop fragility of the display of a smart mobile phone: weakest link failure or cumulative shock failure?. IIE Transactions 46:10, pages 1079-1092.
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AthanasiosG. Kallioras & IoannisA. Koutrouvelis. (2014) Percentile Estimation in Inverse Gaussian Distributions. Communications in Statistics - Simulation and Computation 43:2, pages 269-284.
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Linkan Bian & Nagi Gebraeel. (2012) Computing and updating the first-passage time distribution for randomly evolving degradation signals. IIE Transactions 44:11, pages 974-987.
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Articles from other publishers (20)

Y. Zhang, Y. Ma, L. Liu & L. Ouyang. (2018) A novel reliability model for multi-component systems subject to multiple dependent competing risks with degradation rate acceleration. Eksploatacja i Niezawodność – Maintenance and Reliability 20:4, pages 579-589.
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Chanseok Park. 2017. Statistical Modeling for Degradation Data. Statistical Modeling for Degradation Data 3 20 .
Haitao Liao, Ye Zhang & Huairui Guo. 2017. Advances in Through-life Engineering Services. Advances in Through-life Engineering Services 165 186 .
Sheng‐Tsaing Tseng, Chih‐Chun Tsai & N. Balakrishnan. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Chanseok Park & William J. Padgett. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Mei‐Ling Ting Lee. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Lizhi Wang, Rong Pan, Xiaoyang Li & Tongmin Jiang. (2013) A Bayesian reliability evaluation method with integrated accelerated degradation testing and field information. Reliability Engineering & System Safety 112, pages 38-47.
Crossref
Y. L. Lio & Chanseok Park. (2008) A bootstrap control chart for Birnbaum–Saunders percentiles. Quality and Reliability Engineering International 24:5, pages 585-600.
Crossref
Mei‐Ling Ting Lee. 2007. Encyclopedia of Quantitative Risk Analysis and Assessment. Encyclopedia of Quantitative Risk Analysis and Assessment.
Chanseok Park & William J. Padgett. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
F. Ballani, D. Stoyan & S. Wolf. (2016) On Two Damage Accumulation Models and Their Size Effects. Journal of Applied Probability 44:1, pages 99-114.
Crossref
Mei-Ling Ting Lee & G. A. Whitmore. (2006) Threshold Regression for Survival Analysis: Modeling Event Times by a Stochastic Process Reaching a Boundary. Statistical Science 21:4.
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Chanseok Park & W.J. Padgett. (2006) A general class of cumulative damage models for materials failure. Journal of Statistical Planning and Inference 136:11, pages 3783-3801.
Crossref
C. Park & W.J. Padgett. (2006) Stochastic Degradation Models With Several Accelerating Variables. IEEE Transactions on Reliability 55:2, pages 379-390.
Crossref
Chanseok Park & W. J. Padgett. (2005) Accelerated Degradation Models for Failure Based on Geometric Brownian Motion and Gamma Processes. Lifetime Data Analysis 11:4, pages 511-527.
Crossref
Sheng‐Tsaing Tseng, Chih‐Chun Tsai & N. Balakrishnan. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences 1 17 .
C. Park & W.J. Padgett. (2005) New Cumulative Damage Models for Failure Using Stochastic Processes as Initial Damage. IEEE Transactions on Reliability 54:3, pages 530-540.
Crossref
Arzu Onar & W.J. Padgett. (2004) A penalized local D-optimality approach to design for accelerated test models. Journal of Statistical Planning and Inference 119:2, pages 411-420.
Crossref
J. D. Lynch & W. J. Padgett. 2004. Mathematical Reliability: An Expository Perspective. Mathematical Reliability: An Expository Perspective 277 289 .
Arzu Onar & William J. Padgett. 2003. Advances in Survival Analysis. Advances in Survival Analysis 461 477 .

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