Various types of censoring schemes basically type-I and type-II censoring schemes and
their modifed versions are used in life testing experiments. Most of the tests used in
life testing experiments are based on a single sample. A joint censoring scheme is quite
useful in conducting comparative life tests of products from diferent units within the
same facility. In this article, we consider two exponential life time models under joint
multiply type-II censoring scheme, which is a generalization of usual type-II censoring
scheme, implemented on the two samples. We have considered maximum likelihood
estimation and Bayesian estimation for estimating the reliability of the product under
such a censoring scheme. The results are compared with the results obtained under
usual type-II censoring scheme. In Bayes estimation the efect of prior parameters on
mean life time and reliability of the product is discussed. We have used the local infuence approach for identifying observations that strike a disproportionate efect in the
maximum likelihood estimate of the reliability in the model. The life time data set of
air-conditioning systems of two Boeing 720 jet airplanes “7914" and “7913" are used to
apply the theory developed in the paper.