论文信息 - A new model with bathtub-shaped failure rate using an additive Burr XII distribution

A new model with bathtub-shaped failure rate using an additive Burr XII distribution

Abstract It is a common situation that the failure rate function has a bathtub shape for many mechanical and electronic components. A simple model based on adding two Burr XII distributions is presented for modeling this type data. The graphical estimation on probability paper is illustrated, and examples of its usage are presented. The Akaike Information Criterion was used for judging the adequacy of the models presented for the numerical examples. It can be seen that the proposed model is a very competitive model for describing the bathtub-shaped failure rate lifetime data.

F.K Wang | Fu‐Kwun Wang

[1] Magne Vollan Aarset,et al. How to Identify a Bathtub Hazard Rate , 1987, IEEE Transactions on Reliability.

[2] U. Hjorth. A Reliability Distribution With Increasing, Decreasing, Constant and Bathtub-Shaped Failure Rates , 1980 .

[3] Ronald E. Glaser,et al. Bathtub and Related Failure Rate Characterizations , 1980 .

[4] Richard E. Barlow,et al. Reliability and Fault Tree Analysis , 1977 .

[5] M. B. Rajarshi,et al. Bathtub distributions: a review , 1988 .

[6] R. E. Barlow,et al. Total time on test processes and applications to failure data , 1975 .

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

[8] Hendrik Schäbe,et al. A new model for a lifetime distribution with bathtub shaped failure rate , 1992 .

[9] Bo Bergman,et al. A Graphical Method Applicable to Age-Replacement Problems , 1982, IEEE Transactions on Reliability.

[10] G. S. Mudholkar,et al. Exponentiated Weibull family for analyzing bathtub failure-rate data , 1993 .

[11] J. Bert Keats,et al. The Burr XII Distribution in Reliability Analysis , 1998 .

[12] D. Cox,et al. Analysis of Survival Data. , 1986 .

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