Failure-censored accelerated life test sampling plans for Weibull distribution under expected test time constraint

This paper considers the design of life-test sampling plans based on failure-censored accelerated life tests. The lifetime distribution of products is assumed to be Weibull with a scale parameter that is a log linear function of a (possibly transformed) stress. Two levels of stress higher than the use condition stress, high and low, are used. Sampling plans with equal expected test times at high and low test stresses which satisfy the producer's and consumer's risk requirements and minimize the asymptotic variance of the test statistic used to decide lot acceptability are obtained. The properties of the proposed life-test sampling plans are investigated.

[1]  Do Sun Bai,et al.  DESIGN OF FAILURE-CENSORED ACCELERATED LIFE-TEST SAMPLING PLANS FOR LOGNORMAL AND WEIBULL DISTRIBUTIONS , 1993 .

[2]  K. Fertig,et al.  Life-Test Sampling Plans for Two-Parameter Weibull Populations , 1980 .

[3]  Guang-Bin Yang,et al.  Optimum constant-stress accelerated life-test plans , 1994 .

[4]  W. Bulgren,et al.  Double Sample Tests for Hypotheses about the Mean of an Exponential Distribution , 1973 .

[5]  B. Epstein.  Truncated Life Tests in the Exponential Case , 1954 .

[6]  Wayne Nelson,et al.  Optimum Censored Accelerated Life Tests for Normal and Lognormal Life Distributions , 1975 .

[7]  M. Sobel,et al.  SEQUENTIAL LIFE TESTS IN THE EXPONENTIAL CASE , 1955 .

[8]  K. Fairbanks.  A two-stage life test for the exponential parameter , 1988 .

[9]  W. Meeker.  Accelerated Testing: Statistical Models, Test Plans, and Data Analyses , 1991 .

[10]  Albert H. Moore,et al.  An Evaluation of Exponential and Weibull Test Plans , 1976, IEEE Transactions on Reliability.

[11]  H. Schneider.  Failure-censored variables-sampling plans for lognormal and Weibull distributions , 1989 .

[12]  William Q. Meeker,et al.  Optimum Accelerated Life-Tests for the Weibull and Extreme Value Distributions , 1975, IEEE Transactions on Reliability.

[13]  Robert J. Beaver,et al.  An Introduction to Probability Theory and Mathematical Statistics , 1977 .

[14]  Jerald F. Lawless,et al.  Statistical Models and Methods for Lifetime Data , 1983 .

[15]  H. A. David,et al.  Order Statistics (2nd ed). , 1981 .

[16]  A. Ravindran,et al.  Engineering Optimization: Methods and Applications , 2006 .