In Auburngrads/SMRD: Statistical Methods For Reliability Data

Properties of the Generalized Gamma Distribution

• When $\beta = 1, \;\;\; T \sim GAM(\theta,\kappa)$

• When $\kappa = 1, \;\;\; T \sim WEIB(\theta,\beta)$

• When $(\beta,\kappa) = (1,1), \;\;\; T \sim EXP(\theta)$

• As $\kappa \rightarrow \infty, \;\;\; T\xrightarrow{d} LOGNOR(\log(\theta)+\log(\kappa)/\beta, 1/(\beta\sqrt{\kappa}))$

Auburngrads/SMRD documentation built on Sept. 14, 2020, 2:21 a.m.