LOWER CONFIDENCE LIMIT OF THE MEAN RESIDUAL OPERATING LIFE OF NON-RESTORABLE ITEMS

Abstract

Background. In practical problems of estimating the mean residual operating life of non-restorable items, the amount of observed items is very limited. Therefore, confidence in point (statistical) estimates of the mean residual operating life is extremely low. In this regard, an actual problem arises – to increase confidence in the observed volume of observations. Materials and methods. One of the ways to solve this problem is to find the lower confidence bounds of the mean residual operating life for a given confidence probability. Results. Therefore, in this paper, the lower confidence limits of the mean residual operating life of non-restorable items are established for a given confidence probability. The established limits are valid for any law of operating life consumption of non-restorable items. An example of calculating the lower confidence limit of the mean residual operating life for small sample size items is given. Conclusions. The formula for calculating the lower confidence limits of the mean residual operating life for any law of operating life consumption of non-restorable items is proved.

Keywords

• sample
• mean residual operating life
• reliability function
• lower confidence limit