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Exponential
The exponential distrubition is the simplest distribution used in life data analysis. The distribution applies in very few situations, yet is widely used due to its simplicity. Log Normal The lognormal distribution has common use in life data analysis. It is appropriate as a time to failure model for failures caused by a degradation process from a mix of failure mechanisms which combine multiplicatively. 
Normal
The normal or Gaussian distribution has limited use inlife data analysis. It is very useful and widely used for process control, capability studies, hypothesis teasing and other applications. Weibull The Weibull distribution has widespread use in life data analysis. It is a flexible distribution able to model decreasing or increasing failure rates and approximate many other distributions including exponential and normal. 



An example of the Eyring Model combining two stress terms one of which is temperature, Peck’s Model applies for microelectronics plastic encapsulated components. Operated under bias this approach acclerates the metalization corrosion failure mechanism. An example of the Eyring Model combining two stress terms one of which is temperature, Peck’s Model applies for microelectronics plastic encapsulated components. Operated under bias this approach acclerates the metalization corrosion failure mechanism. 
The CoffinManson model for cyclic fatigue relates the ration of cycles to failure. It applies for stress due to isothermal mechanical fatigue cycling or merchanical stress fatigue due to thermal cycling. The Arrhenius rate equation (Arrhenius 1889) describes the relationship between temperature of thermally activated mechanisms. It applies to solide state diffusion, chemical reactions, and many other failure mechanisms. 