剩余寿命分布类与剩余寿命函数特征的研究_张民悦.pdf

30 6 Vol. 30 No. 6 2004 12 Journal of Lanzhou Universit of T echnolog Dec. 2004 : 1000-5889( 2004) 06-012 1-03 剩余寿命分布类与剩余寿命函数特征的研究 1 2 张民悦, 郑 平 ( 1. , 730050; 2. , 730070) : 阐述了递减方差剩余寿命( DVRL) 分布与平衡分布的平均剩余寿命函数的密切联系; 研究了递减方差剩余 寿命( DV RL) 分布类 递减百分位数剩余寿命分布类, 并且给出了它们的一些特征; 给出了以剩余寿命函数( RLF) 的一般矩为基础的特征结果. : 可靠性理论; 剩余寿命函数; 寿命分布类; 方差; 百分位数; 一般矩 : O2 12 : A Studies of residual lif e distribution classes and characters of residual life function 1 2 ZHANG Min- ue , ZHENG Ping ( 1. School of Sciences, Lanzhou Univ. of T ech. , Lanzhou 730050, Ch ina; 2. Dept . of Mathematics, Lanzhou T eachers College, Lanzhou 730070, China) Abstract: Close relationship of decreasing variance residual life( DVRL) distribution to balanced-distributed mean residual life function is expounded. The class of distribution of decreasing variance residual life ( DVRL) an that of decreasing percentile residual life are investigated, some their characters are also given, and their charac- teristic result is given w hen the general moments of residual life function( RLF) are taken as their basis. Key words : reliabilit theor ; residual life function; life distribution class; variance; percentile; general mo- ment , t , . , t DVRL ( IVRL) NBUE( NWUE) ( RLF) . , X , . X t = X - t | X t ( RLF) . Guota Gupta[6] ( t ) = r RLF , E ( ( X - t) t | X t) , t , 2 2 ( t ) . F (