Testing exponential posterior distribution with scale parameter for NBUL class

Abstract. Recently non-parametric testing using goodness of fit approach for testing standard exponential with scale parameter against the new better than used in the Laplace transform order class (NBUL) has been introduced. In this paper we represent non-parametric testing for NBUL class using goodness of fit approach with λ parameter that λ parameter has prior distribution E (1). The testing Bayesian statistic based on u-statistic, It’s provide by departure of nun hypothesis. And also we represent  statistic.

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  • R. E. Barlow and F. Proschan, (1981). Statistical theory of reliability and life testing.To begin with.silver spring, MD.
  • M. C. Bryson and M. M. Siddiquei, (1969). Some critical for aging, J. AM. Stat. Assoc 64, 1472 - 1483.
  • L. S. Diab, (2010). Testing for NBUL using goodness of fit approach with applications.state paper. 51: 27 - 40.
  • B. Klefsjo, (1982). The HNBUE and HNWUE classes of life distributions.Nav.Res logistids. Quart 29, 331 - 344.
  • P. Nasiri, R. Lotfi, F. Shojaat, (2014). Testing exponential distribution with scale parameter for
  • T. Rolski, (1975). Mean residual life. Bull Int, stat. Inst 46, 266 - 270.
  • W. Y. Wang, (1996). Life distribution classes and two-unit standby redundant system.ph.D. dissertation, Chinese academy of science, Beijing.