Equipment reliability estimation of complete samples under varied environment

The article studies the reliability estimation of normal, lognormal, exponential and Weibull´s equipment lifetime complete samples of varied environment. Under different environment conditions, one equipment shows different reliability. When the environment condition changes, the equipment reliability becomes a function of the environment, which is called a reliability curve. Given the estimation of the reliability curve, one can predict the equipment reliability for unknown environment. This paper gives the reliability estimator at lifetime parameter function of environment indictor under the conditions of sigma and shape or slope parameter fixed. The strong consistency of estimator is proved by using probability and statistics methods. Meanwhile the computer simulation shows that the estimate method is practical.