Constructing lower simultaneous prediction limits on observations in future samples from the past data

In this paper, an invariant insertion technique is proposed for constructing lower simultaneous prediction limits on the observations or functions of observations of all k future samples using the results of a previous sample from the same underlying distribution belonging to invariant family. Such limits are required as specifications on future life for components, as warranty limits for the future performance of a specified number of systems with standby units, and in various other applications. Exact limits are given and illustrated with numerical example.