Reliability Evaluation Method of Performance Degradation Data Based on Proportional Risk Model under Small Sample Conditions

Abstract

With high reliability, high cost and multiple degradation characteristics of the product, carry
out under the condition of small sample statistical analysis of degradation data has more
practical application value for using the degradation data to assess factors affecting the
reliability of more complex or unknown products, given the proportional hazards model can be
used to describe the product reliability level and the quantitative relationship between
environmental factors, this paper presents a degradation failure rate based on proportional
hazards model analysis method to speed up the first time as a covariate factor, proportional
hazards model is introduced to estimate the product life and the relationship between the
quantity of degradation failure rate, failure rate percentage degradation model is set up; Then,
according to the relationship between reliability and the distribution of degradation quantity,
the distribution fitting method is used to estimate the reliability indexes of products, so as to
obtain the estimated value of unknown parameters, and then the reliability evaluation of
products is carried out. With laser emitter GaAs degradation data for example, make full use of
every moment of the current increment value, calculate the moment of specific degradation
failure rate, the results show that the method can accurately describe the degradation process,
is based on the traditional reliability method of failure distribution reflects the same average
characteristics of subjects environment with the type of product, and cannot be directly applied
to real-time quantitative reliability analysis, this paper used the method compared with other
method has strong adaptability and accuracy, better able to complete the task of degradation
data reliability estimates.