/ Discrete Phase Type Distributions / Discrete Random Variable / engineering system optimization / Exchangeable Dependence / Geometric distribution / Independent Geometric Random Variables / Joint Probability Mass Function / Markov chain / MATHEMATICS / Probability & Statistics / Bayesian Analysis / Negative Binomial Distribution / phase type distributions / Poisson's Binomial Distribution / Power Series Distribution / probabilistic risk assessment / Probability Generating Function / Random Variables / Reliability engineering / reliability modeling / Residual Life Function / statistical quality methods / stochastic processes analysis / Stochastics / Stress Strength Reliability / TECHNOLOGY & ENGINEERING / Industrial Engineering / TECHNOLOGY & ENGINEERING / Operations Research / TECHNOLOGY & ENGINEERING / Quality Control / Transition Probability Matrix / Wind Speed Series / wind turbines