[1]王丰效.广义NBUT寿命分布及其封闭性质[J].南京师范大学学报(自然科学版),2017,40(03):1.[doi:10.3969/j.issn.1001-4616.2017.03.001]
　Wang Fengxiao.Some Properties of Generalized NBUT Lifetime Distribution[J].Journal of Nanjing Normal University(Natural Science Edition),2017,40(03):1.[doi:10.3969/j.issn.1001-4616.2017.03.001]
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广义NBUT寿命分布及其封闭性质()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第40卷
期数:
2017年03期
页码:
1
栏目:
·数学·
出版日期:
2017-09-30

文章信息/Info

Title:
Some Properties of Generalized NBUT Lifetime Distribution
文章编号:
1001-4616(2017)03-0001-04
作者:
王丰效
喀什大学数学与统计学院,新疆 喀什 844000
Author(s):
Wang Fengxiao
College of Mathematics and Statistics,Kashigar University,Kashi 844000,China
关键词:
广义试验总时间变换序; NBUT; GNBUT; 串联系统; 随机小
Keywords:
generalized total time on test transform order; NBUT; GNBUT; series system; random minima
分类号:
O211.5
DOI:
10.3969/j.issn.1001-4616.2017.03.001
文献标志码:
A
摘要:
利用广义试验总时间变换序,给出了广义NBUT(简记为GNBUT)寿命分布的概念,讨论了GNBUT寿命分布与NBUT寿命分布的关系.进一步给出了GNBUT寿命分布在构成串联系统和随机小下的封闭性质.
Abstract:
Based on the generalized total time on test transform order,a new lifetime distribution named generalized NBUT(GNBUT)is established. Relationship between the GNBUT lifetime distribution and the NBUT lifetime distribution are discussed. It is found that the implications are closely related to the IFR or DFR property of the referred life distribution G. Preservation of the GNBUT is also developed by taking the minima.

参考文献/References:

[1] 王丰效. 平均样本间隔的性质及其在拍卖中的应用[J]. 数学的实践与认识,2007,37(5):60-64.
[2]王丰效. Preservation property of NBUCA life distributions[J]. Chin Quart J of Math,2015,30(2):206-210.
[3]王丰效. NBUCA寿命分布在L-S变换的封闭性质[J]. 南京师大学报(自然科学版),2015,38(1):21-24.
[4]CHANG K H. Stochastic orders of the sums of two exponential random variables[J]. Statist Probab Lett,2001,51:389-396.
[5]CAO J,WANG Y. The NBUC and NWUC classes of life distributions[J]. Journal of applied probability,1991(28):473-479.
[6]KOCHAR S C,LI X,SHAKED M. The total time on test transform order and the excess wealth stochastic orders of life distributions[J]. Advances in applied probability,2002(34):826-845.
[7]BARTOSZEWICZ J. Dispersive ordering and the total time on test transformation[J]. Statistics and probability letters,1986(4):285-288.
[8]SHAKED M,SHANTHIKUMAR J G. Stochastic orders and their applications[M]. San Diago:Academic Press,1994.
[9]NEATH A V,SAMANIEGO F J. On the total time on test transform of an IFRA distribution[J]. Statistics and probability letters,1992(14):289-291.
[10]李效虎,郝学奎. 广义试验总时间变换序的一些性质[J]. 兰州大学学报(自然科学版),2004,40(6):1-3.

备注/Memo

备注/Memo:
收稿日期:2017-02-15.
基金项目:广东省科技计划项目(2014A020209087),喀什大学高层次人才科研启动经费(GCC15ZK-007).
通讯联系人:王丰效,教授,硕士生导师,研究方向:随机序、应用概率统计. E-mail:fxw-hz@126.com
更新日期/Last Update: 2017-09-30