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In this paper, a new test statistic for testing exponentiality against used better than aged in increasing concave ordering UBAC(2) is constructed based on total time on test (TTT)-Transform. Critical values are tabulated for sample size n = 10(5)100. The power of the test is estimated for some commonly used distributions in reliability. Finally, medical applications for real data are proposed to illustrate the theoretical results.

Testing of UBAC(2) Class of Life Distributions based on TTT - Transform