A counting process model of survival of parallel load-sharing system
Kybernetika (2001)
- Volume: 37, Issue: 1, page [47]-60
- ISSN: 0023-5954
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topVolf, Petr, and Linka, Aleš. "A counting process model of survival of parallel load-sharing system." Kybernetika 37.1 (2001): [47]-60. <http://eudml.org/doc/33516>.
@article{Volf2001,
abstract = {A system composed from a set of independent and identical parallel units is considered and its resistance (survival) against an increasing load is modelled by a counting process model, in the framework of statistical survival analysis. The objective is to estimate the (nonparametrized) hazard function of the distribution of loads breaking the units of the system (i. e. their breaking strengths), to derive the large sample properties of the estimator, and to propose a goodness-of-fit test. We also examine the relationship between the survival of the system and the survival of its components.},
author = {Volf, Petr, Linka, Aleš},
journal = {Kybernetika},
keywords = {hazard function; goodness-of-fit test; hazard function; goodness-of-fit test},
language = {eng},
number = {1},
pages = {[47]-60},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A counting process model of survival of parallel load-sharing system},
url = {http://eudml.org/doc/33516},
volume = {37},
year = {2001},
}
TY - JOUR
AU - Volf, Petr
AU - Linka, Aleš
TI - A counting process model of survival of parallel load-sharing system
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 1
SP - [47]
EP - 60
AB - A system composed from a set of independent and identical parallel units is considered and its resistance (survival) against an increasing load is modelled by a counting process model, in the framework of statistical survival analysis. The objective is to estimate the (nonparametrized) hazard function of the distribution of loads breaking the units of the system (i. e. their breaking strengths), to derive the large sample properties of the estimator, and to propose a goodness-of-fit test. We also examine the relationship between the survival of the system and the survival of its components.
LA - eng
KW - hazard function; goodness-of-fit test; hazard function; goodness-of-fit test
UR - http://eudml.org/doc/33516
ER -
References
top- Andersen P. K., Borgan O., Counting process models for life history data: A review, Scand. J. Statist. 12 (1985), 97–158 (1985) Zbl0584.62176MR0808151
- Andersen P. K., Borgan O., Gill R. D., Keiding N., Statistical Models Based on Counting Processes, Springer, New York 1993 Zbl0824.60003MR1198884
- Andersen P. K., Gill R. D., 10.1214/aos/1176345976, Ann. Statist. 10 (1982), 1100–1120 (1982) Zbl0526.62026MR0673646DOI10.1214/aos/1176345976
- Belyaev, Yu. K., Rydén P., Non-parametric estimators of the distribution of tensile strengths for wires, Research Report 1997-15, University of Umea 1997 (1997)
- Crowder M. J., Kimber A. C., Smith R. L., Sweeting T. L., Statistical Analysis of Reliability Data, Chapman and Hall, London 1991 MR1122148
- Daniels H. E., 10.2307/1427162, Adv. in Appl. Probab. 21 (1991), 315–333 (1991) MR0997726DOI10.2307/1427162
- Fleming T. R., Harrington D. P., Counting Processes and Survival Analysis, Wiley, New York 1991 Zbl1079.62093MR1100924
- Hoffmann–Jørgensen J., Probability with a View Towards Statistics, Volume II, Chapman and Hall, London 1994 MR1278486
- Rao C. R., Linear Statistical Inference and Its Application, Wiley, New York 1965 MR0221616
- Suh M. W., Bhattacharyya B. B., Grandage A., 10.2307/3211948, J. Appl. Probab. 7 (1970), 712–720 (1970) Zbl0205.43502MR0283908DOI10.2307/3211948
- Volf P., Analysis of generalized residuals in hazard regression models, Kybernetika 32 (1996), 501–510 (1996) Zbl0882.62077MR1420139
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