Test for New Better than Used in Average Based on the Total Time on Test Transform.

Document Type : Original Article

Authors

Dep. of Statistics, College of Science, King Saud University, Saudi Arabia

Abstract

Let  be a life distribution with survival function  and finite mean . The scaled total time on test transform is defined by . In this paper, the properties of  for new better than used in average (NBUA) or new worse than used in average (NWUA) are investigated. Test statistics for testing exponentiality against NBUA (NWUA) are proposed. Selected critical values are tabulated for sample size . Powers of the tests are estimated by simulation. An example of  patients of blood cancer disease demonstrate its practical application in medical Sciences.

Keywords