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Tests for the total time on test transform order

Affiliation:	1. Dpto. Estadística e Investigación Operativa, Fac. Matematicas, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo (Murcia) Spain;2. Department of Mathematics, Lanzhou University, Lanzhou 730000, China;1. Department of Statistics, Allameh Tabataba’i University, Tehran, Iran;2. School of Mathematics, Iran university of Science and Technology, Narmak, Tehran, Iran;3. Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran;1. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia;2. Department of Statistics, Faculty of Basic Science and Engineering of Bijar, University of Kurdistan, Bijar, Iran

Abstract:	In this paper we consider two test statistics for testing the strict TTT transform order between two life distributions of interest. We give their asymptotic distributions and compare our tests with some other related tests in terms of Pitman's asymptotic efficiency. Also we present some results to show the performance and the asymptotic normality of our tests.

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