Downloaded from https://www.everyspec.com AMOP 7W-Ill APPENDIX B ESTIMATES FOR RELIABILITY-GROWTH, DUANE MODEL LIST OF SYMBOLS a - positive constant AVar, ACov asymptotic variance and positive constant covariance, respectively W-t) dm(t)/dt, peril rate rii, st = product and sum, respec- C =3In t tively, over I from I to n EL 1 / -- expected value of second The Duane Model-I is a particular non- derivative of L with respect homogeneous Poisson process wherein to the variables I and 1; a corresponds to either i m(t) M W t (B-I) or I and P corresponds to either I or I 2 Notation follows:
L, U - subscripts which imply e(t) mean number of failures in (0, t] Lower and Upper bounds, respectively a, -i = positive constants Lt L Likelihood, -In Likelihood, WOt) - dm(t)/dt - a*0-; peril rate respectively T - fixed time of test rMW() mean number of failures random variable n - number of failures in (0, T7 in (0, TI n = number of failures in (0, T], a t, time of failure i, a random s implies the word "statisti- variable cal(ly)" or Implies.that the technical statistical defini- rlp, E, product and sum, respectively, tion is intended rather than over I from I to n the ordinary dictionary definition L.
L - Likelihood, - in Likelihood, respectively 1 t, time of failure i I The statistical procedure used here to esti- Likelihood. The Likelihood is the ptiobabil- U() measure of uncertainty in ity and/or probability density that the actual In t) results would be found. I T - fixed time of test mate a, 3, and their incertaintles is Maximum