A Wiener process degradation model with two transformed time scales is proposed for reliability assessment based on products deterioration information. The maximum likelihood estimation (MLE) for model parameters is constructed. Then the failure time distribution (FTD) is derived

the reliability and life can be inferred accordingly. A comprehensive Monte Carlo simulation study and a real application have been conducted

and the widely adopted Wiener process model with mixed effects is adopted as a reference for a better understanding. According to the definition of the 10th degradation percentile curve

comparative results illustrated that the proposed method can effectively improve the reliability assessment precision. Regarding further lifetime assessment

the median life derived from the proposed method was 232.9h smaller than that derived from the referenced method

and the 10th failure time distribution percentile was 109.4h. This showed that the results from the reference method were more dangerous in practical engineering.