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Communications in Statistics - Theory and Methods Volume 19, 1990 - Issue 8
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Original Articles

Bayes estimation of prediction intervals for a power law process

R. Calabria Dept. of Statistics & Reliability, Istituto Motori - CNR, via Marconi 8, Napoli, 80125, Italy
,
M. Guida Dept. of Statistics & Reliability, Istituto Motori - CNR, via Marconi 8, Napoli, 80125, Italy
&
G. Pulcini Dept. of Statistics & Reliability, Istituto Motori - CNR, via Marconi 8, Napoli, 80125, Italy
Pages 3023-3035 | Received 01 Dec 1989, Published online: 27 Jun 2007

Citations (21)

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Jun-Ming Hu, Hong-Zhong Huang, Yan-Feng Li & Hui-Ying Gao. (2022) Bayesian prior information fusion for power law process via evidence theory. Communications in Statistics - Theory and Methods 51:14, pages 4921-4939.
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Yan-Ping Wang & Zhen-Zhou Lu. (2015) Bayesian inference and prediction analysis of the power law process based on a natural conjugate prior. Journal of Statistical Computation and Simulation 85:5, pages 881-898.
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Franck Corset, Laurent Doyen & Olivier Gaudoin. (2012) Bayesian Analysis of ARA Imperfect Repair Models. Communications in Statistics - Theory and Methods 41:21, pages 3915-3941.
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Yan-Ping Wang & Zhen-Zhou Lu. (2011) Bayesian Inference and Prediction Analysis of the Power Law Process Based on a Gamma Prior Distribution. Communications in Statistics - Simulation and Computation 40:9, pages 1383-1401.
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Kenneth J. Ryan, Michael S. Hamada & C. Shane Reese. (2011) A Bayesian Hierarchical Power Law Process Model for Multiple Repairable Systems with an Application to Supercomputer Reliability. Journal of Quality Technology 43:3, pages 209-223.
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K. Muralidharan & Kuang-Chao Chang. (2011) Some Large Sample Tests Based on Conditional Distribution for the Shape Parameter in Power Law Process. Journal of Statistical Theory and Practice 5:2, pages 327-334.
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Gianpaolo Pulcini. (2002) ACCOUNTING FOR MODEL UNCERTAINTY IN RELIABILITY ANALYSIS OF MECHANICAL REPAIRABLE EQUIPMENT. Communications in Statistics - Theory and Methods 31:5, pages 849-869.
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Ananda Sen. (2002) Bayesian estimation and prediction of the intensity of the power law process. Journal of Statistical Computation and Simulation 72:8, pages 613-631.
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Ananda Sen. (1998) Estimation of Current Reliability in a Duane-Based Reliability Growth Model. Technometrics 40:4, pages 334-344.
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Articles from other publishers (12)

Evans Gouno. 2022. Bayesian Inference and Computation in Reliability and Survival Analysis. Bayesian Inference and Computation in Reliability and Survival Analysis 121 146 .
Steven E. Rigdon. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithSteven E. Rigdon. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
Steven E. Rigdon. 2007. Encyclopedia of Quantitative Risk Analysis and Assessment. Encyclopedia of Quantitative Risk Analysis and Assessment.
Jun-Wu Yu, Guo-Liang Tian & Man-Lai Tang. (2007) Predictive analyses for nonhomogeneous Poisson processes with power law using Bayesian approach. Computational Statistics & Data Analysis 51:9, pages 4254-4268.
Crossref
F. Ruggeri. 2006. Progress in Industrial Mathematics at ECMI 2004. Progress in Industrial Mathematics at ECMI 2004 535 553 .
Kenneth J. Ryan. (2003) Some flexible families of intensities for non‐homogeneous Poisson process models and their Bayes inference. Quality and Reliability Engineering International 19:2, pages 171-181.
Crossref
Gianpaolo Pulcini. 2003. Handbook of Reliability Engineering. Handbook of Reliability Engineering 317 348 .
John Shortle. 1997. Engineering Probabilistic Design and Maintenance for Flood Protection. Engineering Probabilistic Design and Maintenance for Flood Protection 61 66 .
R. Calabria, M. Guida & G. Pulcini. (2006) Reliability analysis of repairable systems from in–service failure count data. Applied Stochastic Models and Data Analysis 10:3, pages 141-151.
Crossref
Shaul K. Bar-Lev, Idit Lavi & Benjamin Reiser. (1992) Bayesian inference for the power law process. Annals of the Institute of Statistical Mathematics 44:4, pages 623-639.
Crossref
R. Calabria, M. Guida & G. Pulcini. (1992) A Bayes procedure for estimation of current system reliability. IEEE Transactions on Reliability 41:4, pages 616-620.
Crossref

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