A note on the Probability that first component fails before the second component

Ehtesham Husain, Masood ul Haq

Abstract


The reliability (unreliability) and life testing are important topics in the field of engineering, electronic, medicine, economic and many more, where we are interested in, life of components, human organs, subsystem and system. Statistically, a probability distribution failure time (life time) of a certain form is usually assumed to give reliability of a component for a system for each time t. Some well known parametric life time models (T ≥ 0) are Exponential, Weibull, Inverse Weibull, Gamma, Lognormal, normal ( T>0 ; left truncated ) etc. 

In this paper we consider a system that, has two components with independent but non-identical life time probabilities explained by two distinct random variables say T1 and T2 , where T1 has a constant hazard rate and T2 has an increasing hazard respectively


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References


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