Bayes Estimation of Shift Point in Geometric Sequence

A sequence of independent lifetimes X 1, X 2,…, X m , X m+1,… X n were observed from geometric population with parameter q 1 but later it was found that there was a change in the system at some point of time m and it is reflected in the sequence after X m by change in parameter q 2. The Bayes estimates of m, q 1, q 2, reliability R 1 (t) and R 2 (t) at time t are derived for symmetric and asymmetric loss functions under informative and non informative priors. A simulation study is carried out.