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Vol 5, No 1 :

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Accelerated Life Testing of Generalized Exponential Data under Linear Accelerating Factor
Anwar Hassan , Mehraj Ahmad
Abstract

Owing to the rapid improvement of the high technology, the products today become more and more reliable, which leads to longer life of these products. It might take a long time, such as several years, for a product to fail, which makes it difficult or even impossible to obtain the failure information under usage condition for such highly reliable products. While running at higher stress level shortens the products’ life, the accelerated life test (ALT) is utilized to induce more failures and then derive the reliability information under usage condition. In this study, we develop an accelerated life testing model with an assumption of a linear acceleration factor in which the underlying sampling distribution is the generalized exponential distribution. Numerical computation has been done on a data set to illustrate the application of the proposed accelerated life testing model.
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References

D. Donahoe; K. Zhao; S. Murray; R.M. Ray; Accelerated Life Testing Encyclopedia of Quantitative Risk Analysis and Assessment.doi:10.1002/9780470061596.risk0452 (2008).
E.A.Elsayed;Accelerated Life Testing Handbook of Reliability Engineering, 415–428 doi:10.1007/1-85233-841-5_22 (2003).
N.R. Mann; R.E. Schafer; N.D. Singpurwalla; Methods for Statistical Analysis of Reliability and Life Time Data, New York, Wiely (1974).
R.W. Hertzberg; Deformation and Fracture Mechanics of Engineering Materials, 2nd ed., USA (1977).
R.D. Gupta; D. Kundu; Generalized Exponential Distribution, Statistical Inferences, Journal of Statistical Theory and Applications, 01101-118 (2002).
R.D. Gupta; D. Kundu; Generalized exponential distribution: different methods of estimation, J. Statist. Comput.Simul., 69 315-337 (2001a).
R.D. Gupta; D. Kundu; Exponentiated exponential family: an alternative to gamma and Weibull distributions, Biometrical J., 43 117-130 (2001b).
R.D. Gupta; D. Kundu; Generalized exponential distribution, Austral & New Zealand J. Statist., 41 173-188 (1999).
M.Z. Raqab; Inference for generalized exponential distribution based on record statistics, Journal of Statistical Planning ans Inference, 104 339-350 (2002).
M.Z. Raqab; M. Ahsanullah, Estimation of the location and scale parameters of the generalized exponential distribution based on order statistics, Journal of Statistical Computation and Simulation, 69 109-124 (2001).
G. Zheng; Fisher information matrix in type -II censored data from exponentiated exponential family, Biometrical Journal, 44 353 – 357 (2002).
De Souza; I. Daniel; Accelerated Life Testing Models, In: ORSNZ99 onference,1999, Hamilton. Proceedings of the ORSNZ99Conference. Hamilton: University of Waikato, NZ, 1999, 1 245-254 (1999).
De Souza; I. Daniel; Physical Acceleration Life Models, In: XIII CongresoChileno de IngenieriaElectrica, 1999, Santiago, Anais del XIII CongresoChileno de IngenieriaElectrica,Santiago: Universidad de Santiago de Chile, 1999, 1 09-14 (1999a).
P. Erto; New Practical Bayes Estimators for the 2-Parameter Weibull Distribution, IEEE Transactions on Reliability, 31(2) 194-197 (1982).
N.R. Mann; Point and Interval Estimation Procedure Procedures for the Two-Parameter Weibull and Extreme-Value Distributions, Technometrics, 10(2) 231-256 (1968).
A.S. Papadopoulos; C.P. Tsokos; Bayesian Confidence Bounds for the Weibull Failure Model. IEEE Transactions on Reliability, 24(1) 21-26 (1975).
R.M. Soland; Bayesian Analysis of the Weibull Process with Unknown Scale and Shape Parameters, IEEE Transactions on Reliability, R-18( 4) 181-184 (1969).
R.F. Tate; Unbiased Estimation Functions of Location and Scale parameters, Ann. Math. Statistics, 30 341-366 (1959).
De Souza; I. Daniel; Sequential Life Testing with a Truncation Mechanism for an Underlying Three-Parameter Weibull Model, Icheap-6, Chemical Engineering Transactions, 3 557-562 (2003), SauroPierucci (ed), Pisa, Italy, ENGEVISTA, 7(1) 55-62 (2005).
De Souza; I. Daniel; Application of a Sequential Life Testing with a Truncation Mechanism for an Underlying Three-Parameter Weibull Model, ESREL 2004 – PSAM 7Conference, Spitzer, Schmoker and Dang (eds.), Berlin, Germany, 14 – 18 June 2004, 3 1674-1680, Springer-Verlag publishers (2004).
De Souza; I. Daniel; Accelerated Life Testing Applied to Metallurgical Products with an underlying three-parameter inverse Weibull Model, Congreso Conamet/SAM (2004).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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