임의 절단된 자료의 평균잔여수명 검정에 관한 연구

A Study on the Test of Mean Residual Life with Random Censored Sample

The mean residual life(MRL) function gives the expected remaining life of a item at age t. In particular F is said to be an increasing intially then decreasing MRL(IDMRL) distribution if there exists a turing point <TEX>$t^*ge0$</TEX> such that m(s)<TEX>$le$</TEX> m(t) for 0<TEX>$$</TEX>le s<TEX>$le$</TEX> t <TEX>$t^*$</TEX>, m(s)<TEX>$ge$</TEX> m(t) for <TEX>$t^*le$</TEX> s<TEX>$le$</TEX> t. If the preceding inequality is reversed, F is said to be a decreasing initially then increasing MRL(DIMRL) distribution. Hawkins, et al.(1992) proposed test of H0 : F is exponential versus<TEX>$H_1$</TEX>: F is IDMRL, and <TEX>$H_0$</TEX> versus <TEX>$H_1$</TEX>' : F is DIMRL when turning point is unknown. Their test is based on a complete random sample <TEX>$X_1$</TEX>, …, <TEX>$X_n$</TEX> from F. In this paper, we generalized Hawkins-Kochar-Loader test to random censored data.