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任何工业产品,随着使用时间的增加,都必然有朝一日失灵或失效。用数学方法定量地调查研究各种工业产品到达失效时的寿命问题,总结其规律,已经积累起丰富的经验。同一批的工业产品,和生物群体相仿,其中各个个体的寿命也是参差不齐的。这种参差不齐的分布情况可以借概率密度函数f(τ)来定量地描述之,其中的随机变量τ是以平均寿命t为单位计算的寿命,即τ=t/t。这种概率密度函数的定量化来自对产品的
Any industrial product, with the increase of its use time, inevitably will one day fail or fail. Mathematical methods to quantitatively investigate the life expectancy of various industrial products at failure, summarize their laws, and have accumulated rich experience. The same batch of industrial products, and biological groups similar to each individual life expectancy is uneven. This jagged distribution can be quantitatively described by the probability density function f (τ), where the random variable τ is the lifetime calculated as the average life t, ie τ = t / t. The quantification of this probability density function comes from the product