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### Reliability Studies Focus On

- Continuous random variables with "lifetime" distributions, i.e. $(T\in \mathbb{R}^{+}),$

- Modeling failure data using the following six probability functions

    - $\hspace{12pt}F(t)$  -  Cumulative distribution function (CDF)

    - $\hspace{14pt}f(t)$  -  Probability density function (pdf)

    - $\hspace{13pt}S(t)$  -  Reliability (survivor) function

    - $\hspace{14pt}h(t)$  -  Hazard rate (failure rate) function

    - $\hspace{11pt}H(t)$  -  Cumulative hazard function

    - $F^{-1}(p)$  -  Inverse CDF (or quantile function)
