Testing Exponentiality Versus a Trend Change in Mean Residual Life

On some properties of the IDMRL class of life distributions

“…First, the estimation of the change point t 0 has been addressed by Mitra and Basu (1995). Second, the testing of exponentilaity against the IDMRL class of life distributions has been investigated in the works of Guess et al (1986), Aly (1990), Park (1995, 1998), Hawkins et al (1992), and Na and Lee (2003).…”

Monte Carlo comparison of tests of exponentiality against NWBUE alternatives

“…Mitra and Basu [19] showed that the NWBUE family is a substantially large class in the sense that it contains the IDMRL class of distributions introduced by Guess et al [16] as well as all BFR distributions. Note that the NBUE family is also a special case of NWBUE distributions; here the change point is x 0 = 0; which is finite.…”

“…Guess et al [16] have considered the MRL as a criterion of aging and defined the following class of non-monotonic aging distribution: …”

On non-monotonic ageing properties from the Laplace transform, with actuarial applications

“…Some examples of BFR distributions given by these techniques can be found in Jiang and Murthy (1997), Lai et al (2001Lai et al ( , 2004 or Navarro and Hernández (2004), among others. Guess et al (1986) considered the mean residual life function as the criterion of ageing, and they defined the following class of non-monotonic ageing distributions.…”

“…Guess et al (1986) proposed some procedures for testing exponentiality versus IDMRL. Recently, Mi (1995), Finkelstein (2002) and Navarro and Hernández (2004) also studied the shape of the mean residual life function.…”