On Wrapped Version of Some Life Testing Models

ABSTRACT

In this paper we primarily consider waiting time problems under three different sampling rules. SR₁ is the usual sampling with replacement, SR₂ is without replacement, and SR₃ is also with replacement, but uses no repetitions. We develop a new methodology for solving a wide variety of waiting time problems under each of the three sampling rules. A connection between waiting time problems under SR₂ and SR₃ is established which enables one to simultaneously solve waiting time problems under both of these sampling rules. The methods are illustrated with a large number of examples.