Abstract:

Resampling and simulation with a very small sample is always a hotspot and hard problem in reliability simulation and evaluation. At present,there is nogood method suitable  to solve this problem. Based on the principle of the grey Bootstrap, the resample method was improved when the Bootstrap repeatly resampled with a very small sample, and GM(1,1) twice data fitting model to solve the problem that theBootstrap’s simulated result is credible with a very small sample. On the improved grey Bootstrap method in very small sample reliability evaluation, the results indicated that the method had high evaluating precision and highcredibility and strong applicability.

Key words: improved grey Bootstrap; very small sample; credibility; reliability; resample