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Original Articles

Confidence Interval Procedures for the Weibull Process With Applications to Reliability Growth

Pages 67-72 | Published online: 23 Mar 2012

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Read on this site (28)

Jularat Chumnaul & Mohammad Sepehrifar. (2022) Modified signed log-likelihood ratio test for the scale parameter of the power-law process with applications to repairable systems. Communications in Statistics - Simulation and Computation 51:8, pages 4828-4844.
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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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J. Chumnaul & M. Sepehrifar. (2022) Improved test for the scale parameter of the power-law process with incomplete failure data. Communications in Statistics - Theory and Methods 51:12, pages 4221-4234.
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Chih-Hsiang Ho. (2016) Forecasting a point process with an ARIMA model. Communications in Statistics - Theory and Methods 45:17, pages 5066-5076.
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David H. Collins, Jason K. Freels, Aparna V. Huzurbazar, Richard L. Warr & Brian P. Weaver. (2013) Accelerated Test Methods for Reliability Prediction. Journal of Quality Technology 45:3, pages 244-259.
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Bing Xing Wang, Min Xie & Jun Xing Zhou. (2013) Generalized Confidence Interval for the Scale Parameter of the Power-Law Process. Communications in Statistics - Theory and Methods 42:5, pages 898-906.
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JeraldF. Lawless, Candemır Çiğşar & RichardJ. Cook. (2012) Testing for Monotone Trend in Recurrent Event Processes. Technometrics 54:2, pages 147-158.
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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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J Ansell, T Archibald, J Dagpunar, L Thomas, P Abell & D Duncalf. (2003) Analysing maintenance data to gain insight into systems performance. Journal of the Operational Research Society 54:4, pages 343-349.
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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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Steven E. Rigdon, Xiaolin Ma & Kevin M. Bodden. (1998) Statistical Inference for Repairable Systems Using the Power Law Process. Journal of Quality Technology 30:4, pages 395-400.
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Alaattin Erkanli, ThomasA. Mazzuchi & Refik Soyer. (1998) Bayesian Computations for a Class of Reliability Growth Models. Technometrics 40:1, pages 14-23.
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Chih-Hsiang Ho. (1998) Repeated significance tests on accumulating data of repairable systems. Communications in Statistics - Theory and Methods 27:5, pages 1181-1200.
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P. N. Jani, A. Shanubhogue & K. Muralidharan. (1997) Some tests for a poisson process and their powers with respect to trend in the intensity. Communications in Statistics - Theory and Methods 26:11, pages 2671-2688.
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Lynn Kuo & Tae Young Yang. (1996) Bayesian Computation for Nonhomogeneous Poisson Processes in Software Reliability. Journal of the American Statistical Association 91:434, pages 763-773.
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J.F. Lawless & K. Thiagarajah. (1996) A Point-Process Model Incorporating Renewals and Time Trends, With Application to Repairable Systems. Technometrics 38:2, pages 131-138.
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J.F. Lawless & C. Nadeau. (1995) Some Simple Robust Methods for the Analysis of Recurrent Events. Technometrics 37:2, pages 158-168.
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Chih-Hsiang Ho. (1993) Forward and backward tests for an abrupt change in the intensity of a poisson process. Journal of Statistical Computation and Simulation 48:3-4, pages 245-252.
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Nader Ebrahimi. (1992) An optimal stopping time for a power law process. Sequential Analysis 11:3, pages 213-227.
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Steven E. Rigdon & Asit P. Basu. (1990) The Effect of Assuming a Homogeneous Poisson Process When the True Process is a Power Law Process. Journal of Quality Technology 22:2, pages 111-117.
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Steven E. Rigdon & Asit P. Basu. (1990) Estimating the intensity function of a power law process at the current time: time truncated case. Communications in Statistics - Simulation and Computation 19:3, pages 1079-1104.
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Steven E. Rigdon & Asit P. Basu. (1989) The Power Law Process: A Model for the Reliability of Repairable Systems. Journal of Quality Technology 21:4, pages 251-260.
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LeeJ. Bain, Max Engelhardt & F.T. Wright. (1985) Tests for an Increasing Trend in the Intensity of a Poisson Process: A Power Study. Journal of the American Statistical Association 80:390, pages 419-422.
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Mete Sirvanci & Grace Yang. (1984) Estimation of the Weibull Parameters under Type I Censoring. Journal of the American Statistical Association 79:385, pages 183-187.
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J.F. Lawless. (1983) Statistical Methods in Reliability. Technometrics 25:4, pages 305-316.
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Mojgan Golzy & Randy L. Carter. (2019) Generalized frailty models for analysis of recurrent events. Journal of Statistical Planning and Inference 200, pages 213-222.
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Jularat Chumnaul & Mohammad Sepehrifar. (2018) Generalized confidence interval for the scale parameter of the power-law process with incomplete failure data. Computational Statistics & Data Analysis 128, pages 17-33.
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