One–sided simulataneous prediction intervals for the order statistics of a future samples from an exponential distribution

Abstract

Assume that a sample is available from a population having an exponential distribution, and that l Future sample are to be taken from the same population. This paper provides a formula for the same population. This paper provides a formula for computing a one–sided lower simulataneous prediction limit which is to be below the (k_i − m_i + 1) –st order statistics of a future sample of size k_i for the i = 1,…,2, hased on the sample mean of a past sample. Tables for factors for one–sided lower simultaneous predicition limits are provided. Such limits are of practical importance in determining acceptance criteria and predicting system survival times.

Keywords:

• Life Testing
• Simultaneous Prediction Intervals
• System Survival Times