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Модели надежности на основе модифицированных распределений Вейбулла

Abstract

The possibility of application of modified Weibull distributions for evaluation and statistical-physical analysis of the reliability of the products is examined. The use of mixture of exponential and Weibull distributions is suggested.

About the Author

С. Гродзенский
Московский государственный институт радиотехники, электроники и автоматики
Russian Federation


References

1. Weibull W. A statistical theory of the strength of materials // Ingeniers Vetenskaps Akademien Handl. 1939. N. 51.

2. Weibull W. A statistical distribution function if wide applicability // J.Appl.Mechanics. 1951. V.18, P. 293 – 297.

3. Dubey S.D.Normal and Weibull distributions // Naval Res.Logistics Quart. 1967. V. 14. N. 1.P. 69 – 79.

4. Gurvich M.R., Dibenedetto A.T., Rande S.V. A new statistical distribution for characterizing the random strength of britte materials // Materials Sci. 1997. V. 32. P. 2559 – 2564.

5. Lai C.D., Xie M., Murthy D.N.P. Modified Weibull model // IEEE Trans.Reliability. 2003.V. 52.P. 33 – 37.

6. Xie M., Tang Y., Goh T.N. A modified Weibull extension with bathtub-shaped failure rate function // Reliability Eng.& System Safety. 2002.V. 76.P. 279 – 285.

7. White J.S. The moments of log-Weibull order statistics // Technometrics. 1969.V. 11.P. 373 – 386.

8. Phani K.K. A new modified Weibull distribution // Communications Americ.Ceramic Soc. 1987.V. 70.P. 182 – 184.

9. Kies J.A.The Strength of Glass. Naval Res.Lab., WashingtonDC, Report. 1958.N. 5093.

10. Nadarajah S., Kotz S. On Some Recent Modifications of Weibull Distribution // IEEE Trans.Reliability. 2005.V. 34.N. 4. P. 561 –562.

11. Mudholkar G.S., Srivastava D.K., Freimer M. The exponentiatedWeibull family // Technometrics. 1995.V. 37.P. 436 – 445.

12. Mudholkar G.S., Hutson A.D. The exponentiatedWeibull family: some properties and a flood data application // Communications in Statistics – Theory and Methods. 1996.V. 25.P. 3059 – 3083.

13. Nassar M.M., Eissa F.H. On the exponentiatedWeibull distribution // Communications in Statistics – Theory and Methods. 2003.V. 32. P. 1317 – 1336.

14. Nadarajah S., Gupta A.K. On the moments of the exponentiatedWeibull distribution // Communications in Statistics – Theory and Methods. 2003.V. 34.P. 253 – 256.

15. Henry W. Block, Yulin Li, Thomas H. Initial and Final Behaviour of Failure Rate Functions for Mixtures and Systems //Appl.Probability.2003.V. 40.N. 3.P. 721 – 740.

16. Гродзенский С.Я., Домрачев В.Г. Универсальное распределение моментов отказов изделий // Измерительная техника. 2002. № 7.С. 24 – 26; GrodzenskiiS. Ya.,DomrachevV. G.AUniversalDistributionforComponentFailureTimes // MeasurementTechniques. 2002.V.45. N. 7.P. 710–713.

17. Гродзенский С.Я., Домрачев В.Г. Оценка параметров универсального распределения моментов отказов изделий // Измерительная техника.2002.№ 8.C. 12 – 14;GrodzenskiiS. Ya., DomrachevV. G.Estimation of Parameters of Universal Distribution of Moments of Failure of Products// Measurement Techniques. 2002.V.45. N. 8.P. 799–802.

18. Гродзенский С.Я., Домрачев В.Г. Оценка параметров смеси распределений экспоненциального и Вейбулла при прогрессивномцензурировании // Измерительная техника. 2002. №11.C.10–12;GrodzenskiiS. Ya., DomrachevV. G.EstimationoftheParametersofaMixtureofExponentialandWeibullDistributionswithProgressiveCensoring// MeasurementTechniques. 2002. V.45.N.11.P. 1115–1118.

19. Гродзенский С.Я. Статистико-физический метод исследования надежности электронных приборов по данным эксплуатации // Измерительная техника, 2003, № 6, с. 59-60;GrodzenskiiS. Ya.A Statistical Physics Method of Electronic Device Reliability Testing from Working Data Pages // Measurement Techniques. 2003.V. 46.N. 6. P. 616–618.


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  . Izmeritel`naya Tekhnika. 2013;(7):27-31. (In Russ.)

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