Superposed Poisson process models with a modified bathtub intensity function for repairable systems

Bathtub-shaped failure intensity is typical for large-scaled repairable systems with a number of different failure modes. Sometimes, repairable systems may exhibit a failure pattern different from ...

[1]  David R. Cox,et al.  The statistical analysis of series of events , 1966 .

[2]  Lynn Kuo,et al.  Bayesian Computation for Nonhomogeneous Poisson Processes in Software Reliability , 1996 .

[3]  Bo Henry Lindqvist Statistical Modeling and Analysis of Repairable Systems , 1999 .

[4]  Graydon A. Dodson Analysis of Accelerated Temperature Cycle Test Data Containing Different Failure Modes , 1979, 17th International Reliability Physics Symposium.

[5]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[6]  J. Lawless Regression Methods for Poisson Process Data , 1987 .

[7]  Amrit L. Goel A Guidebook for Software Reliability Assessment. , 1983 .

[8]  Sanjib Basu,et al.  Ch. 19. Analysis of masked failure data under competing risks , 2001 .

[9]  Hoang Pham,et al.  On Recent Generalizations of the Weibull Distribution , 2007, IEEE Transactions on Reliability.

[10]  James R. Wilson,et al.  Least squares estimation of nonhomogeneous Poisson processes , 1998, 1998 Winter Simulation Conference. Proceedings (Cat. No.98CH36274).

[11]  Steven E. Rigdon,et al.  Bayes Inference for General Repairable Systems , 2009 .

[12]  V. Kogan Polynomial models of generalized bathtub curves and related moments of the order statistics , 1988 .

[13]  A. Arab,et al.  Bayesian Inference for the Piecewise Exponential Model for the Reliability of Multiple Repairable Systems , 2012 .

[14]  Jerald F. Lawless,et al.  Statistical Methods in Reliability , 1983 .

[15]  J. Bert Keats,et al.  Statistical Methods for Reliability Data , 1999 .

[16]  Vicki M. Bier,et al.  A natural conjugate prior for the non-homogeneous Poisson process with a power law intensity function , 1998 .

[17]  Peter C. Kiessler,et al.  A critical look at the bathtub curve , 2003, IEEE Trans. Reliab..

[18]  Gustavo L. Gilardoni,et al.  Bayesian inference for power law processes with applications in repairable systems , 2012 .

[19]  Vasiliy V. Krivtsov Practical extensions to NHPP application in repairable system reliability analysis , 2007, Reliab. Eng. Syst. Saf..

[20]  Xuemei Zhang,et al.  An NHPP Software Reliability Model and Its Comparison , 1997 .

[21]  Lynn Kuo,et al.  Bayesian computation for the superposition of nonhomogeneous poisson processes , 1999 .

[22]  Rose Baker,et al.  Some new tests of the power law process , 1996 .

[23]  I. Olkin,et al.  A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families , 1997 .

[24]  Gianpaolo Pulcini A Bounded Intensity Process for the Reliability of Repairable Equipment , 2001 .

[25]  Theodora Dimitrakopoulou,et al.  A Lifetime Distribution With an Upside-Down Bathtub-Shaped Hazard Function , 2007, IEEE Transactions on Reliability.

[26]  S. Walker Invited comment on the paper "Slice Sampling" by Radford Neal , 2003 .

[27]  F Louzada-Neto,et al.  Polyhazard Models for Lifetime Data , 1999, Biometrics.

[28]  Gianpaolo Pulcini,et al.  Modeling the failure data of a repairable equipment with bathtub type failure intensity , 2001, Reliab. Eng. Syst. Saf..

[29]  Fu-Kwun Wang,et al.  A New Model for Repairable Systems with Nonmonotone Intensity Function , 2015, Qual. Reliab. Eng. Int..

[30]  Maurizio Guida,et al.  Reliability Analysis of Mechanical Systems With Bounded and Bathtub Shaped Intensity Function , 2009, IEEE Transactions on Reliability.

[31]  H. Akaike A new look at the statistical model identification , 1974 .

[32]  F. Jensen,et al.  Component failures based on flaw distributions , 1989, Proceedings., Annual Reliability and Maintainability Symposium.

[33]  Suk Joo Bae,et al.  A Superposed Log-Linear Failure Intensity Model for Repairable Artillery Systems , 2013 .

[34]  Francisco J. Samaniego Reliability, Yield and Stress Burn-in: A Unified Approach for Microelectronics Systems Manufacturing and Software Development , 1999, Technometrics.

[35]  Larry H. Crow,et al.  Reliability Analysis for Complex, Repairable Systems , 1975 .

[36]  C. Robert,et al.  Bayesian Modeling Using WinBUGS , 2009 .

[37]  Nikolaos Limnios,et al.  Statistical and probabilistic models in reliability , 1999 .

[38]  D. Darling,et al.  A Test of Goodness of Fit , 1954 .

[39]  Filippo Domma,et al.  A new class of distribution functions for lifetime data , 2014, Reliab. Eng. Syst. Saf..

[40]  D. Cox,et al.  The statistical analysis of series of events , 1966 .

[41]  Min Xie,et al.  Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function , 1996 .

[42]  Wayne Nelson,et al.  Graphical Analysis of System Repair Data , 1988 .