基于最大熵概念的复杂随机变量统计模型

基于最大熵概念的随机变量统计模型,能得到最少偏见的随机变量的概率分布.建立了汽车发动机和离合器随机工作载荷的基于最大熵概念的概率密度函数统计模型.示例表明,基于最大熵概念上的随机变量统计模型是可行、有效的.

Statistical Distribution Model of Complicated Random Variables Based on Maximum Entropy Concept

The statistical distribution of random variables is absolutely necessary in many engineering practices, such as reliability analysis, fatigue life test. When building a statistical model, in general, a hypothesis was proposed based on statistical data of samples and experience of the engineer, who took the responsibility. Therefore the hypothesis of the statistical model would be influenced by the opinion of the engineer. Based on maximum entropy concept, statistical model of complicated random variables was presented, and a parameter estimation method of the distribution function was also proposed. Maximum entropy statistical models were used to describe service loads of engine and clutch of a light truck, and rotating speed. The result showed that this model is feasible and valid.