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广义试验总时间变换序的几个性质
引用本文:康殿统,李泽慧.广义试验总时间变换序的几个性质[J].上海大学学报(自然科学版),2005,11(3):261-263,292.
作者姓名:康殿统  李泽慧
作者单位:1. 河西学院,数学系,甘肃,张掖,734000
2. 兰州大学,数学系,兰州,730000
基金项目:国家自然科学基金资助项目(10171041)
摘    要:研究了广义试验总时间(generalized total time on test,简记为GTTT)变换序与及其寿命分布类IFR(increasing failure rate)、DFR(decreasing failure rate)的关系;获得了广义试验总时间变换序关于最小样本的封闭性与关于最大样本的逆封闭性.

关 键 词:广义试验总时间查换序  DFR  IFR  串联系统  并联系统
文章编号:1007-2861(2005)03-0261-03
修稿时间:2004年5月8日

Some Properties of Transform Order of Generalized Total Time on Test
KANG Dian-tong,LI Ze-hui.Some Properties of Transform Order of Generalized Total Time on Test[J].Journal of Shanghai University(Natural Science),2005,11(3):261-263,292.
Authors:KANG Dian-tong  LI Ze-hui
Institution:KANG Dian-tong1,LI Ze-hui2
Abstract:A new stochastic order named transform order of generalized total time on test(GTTT order for short) is established.Relationship between the GTTT order and the usual TTT transform order are investigated. It is found that the implications are closely related to the IFR or DFR property of the referred life distribution G. Preservation of the generalized TTT transform order is also developed by taking the maxima and minima of i.i.d. components.
Keywords:GTTT transform order  DFR  IFR  parallel systems  series systems
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