Sequential Life-Testing with Spacings, Exponential Model

Spacings (difference between two consecutive order statistics) and the linear combination of spacings (LCOS) are discussed in this paper. Prediction of LCOS in a life test based on the exponential model is attempted here. A stopping rule is suggested for prediction and is based on the minimum variance of the LCOS. Prediction of LCOS is also developed in terms of batches of items by considering the LCOS of batches. A few special cases are considered. A Bayesian approach is also used for the same purpose of prediction. The procedure is illustrated with simulated samples.