Abstract :
The technology of the reliability theory and its application is a new technology. It has important effect to ensure and improve the quality of the products of electrical engineering. In the reliability test of the products of electrical engineering, assume F(t,¿) is the distribution function of the lifetime T of the product, where ¿ ¿ ¿ is an unknown parameter, and ¿ is the space of the parameters. Assume t1<t2¿¿¿tm, at time ti (i=1,2,¿¿¿ ,m), ni products are tested. If the test results are zero-failure, these data are called zero-failure data. These data are written as (ti , ni ) , i=1,2, ,m. In this paper, a form of prior distribution about the failure probability pi=P{T<ti } in time ti of zero-failure data (ti , ni ) is developed reasonably. Basing on the prior distribution, the Bayesian estimation of pi is obtained. Then the reliability estimation of Zero-failure data is obtained. Finally, calculation is performed regarding to practical problem. It turns out that the proposed method accords with the engineering priors.
Keywords :
Bayes methods; probability; reliability theory; Bayesian analysis; electrical products; reliability; zero-failure prior distribution; Bayesian methods; Data analysis; Electrical engineering; Electrical products; Life testing; Probability; Reliability theory; Space technology; Statistical analysis; Timing; Bayesian estimation; Zero-failure data; failure probability; prior distribution;
