NBU(2)与NBUC寿命分布的一些性质

Some properties of NBU(2) and NBUC life distributions

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摘要基于更新过程间隔分布的各种NBU性质,讨论了更新剩余寿命与到达间隔之间的随机序关系,提示了NBU(2)与NBUC寿命分布在k-out of-n系统中的行为表现. Stochastic orderings between the renewal residual life and interarrivals are discussed,which is based on various NBU properties of interarrivals in renewal process.Some properties of NBU（2） and NBUC life distributions are obtained in terms of the residual life length of a k-out of-n system.

作者颜荣芳王康周

机构地区西北师范大学数学与信息科学学院

出处《西北师范大学学报（自然科学版）》 CAS 2008年第3期17-19,23,共4页 Journal of Northwest Normal University(Natural Science)

基金甘肃省自然科学基金资助项目(ZS041-A25-005) 甘肃省教育厅科研基金资助项目(041-14) 西北师范大学科技创新工程资助项目(NWNU-KJCXGC-212)

关键词 k-out of-nsystem 更新过程剩余寿命随机序 k-out of-n system renewal process residual life stochastic order

分类号 O212.2 [理学—概率论与数理统计]

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1BARLOW R E, PROSCHAN F. Statistical Theory of Reliability and Life Testing [M]. To Begin with, Silver Spring, MD, 1981.
2DESHPANDE J, KOCHAR S C, SINGH H. Aspects of positive aging[J]. Journal of Applied Probability, 1986, 23:748-758.
3CAO Jin-hua, WANG Yi. The NBUE and NBUC classes of life distribution[J]. Journal of Applied Probability, 1991, 28:473-479.
4SHAKED M, SHANTHIKUMAR J G. Stochastic Orders and Their Applications [ M]. San Diago: Academic Press, 1994.
5STOYAN D. Comparison Methods for Quenes and other Stochastic Models [ M]. New York: John Wiley and Sons, 1983.
6HENDI M L, MASHHOUR A F, MONTASSER M A. Closure probability of the NBUC class of life distributions under formation of parallel systems[J]. Journal of Applied Probability, 1993, 30:975- 978.
7LI Xiao-hu, LI Zi-qing, JING Bing-yi. Some results about the NBUC class of life distributions [J]. Statistics and Probability Letters, 2000, 46: 229- 237.
8LI Xiao-hu, ZHONG Cheng- kui, JING Bing- yi. Testing for new better than used in increasing convex ordering [J]. Communication in Statistics Theory and Methods, 2000, 29(12): 2751-2760.
9LI Xiao-hu, KOCHAR S. Some new results involving the NBU(2) classes of life distributions[J]. Journal of Applied Probability, 2001, 38: 242-247.
10FRANCO M, RUIZ J M, RUIZ M C. On the closure of the IFR(2) and NBU(2) classes[J]. Journal of Applied Probability, 2001, 38(1) : 236 -242.

1Ge Guangping(Shanghai University) Wang Wenyi(Shijiazhuang Railway Institute).Exact Failure Probability Formula for Strict Consecutive-k-out-of-n : F Systems with Homogeneous Markov Dependence[J].Advances in Manufacturing,1998(1):25-26.
2白霞祖.关于可靠度界的若干结论[J].时代人物,2008,0(11):49-50.
3王社军.关于几个NBU寿命分布推广的一个注记[J].兰州大学学报（自然科学版）,2004,40(3):9-11.
4刘国欣,袁莉萍.盈余过程的马氏性与索赔到达间隔分布为离散型的连续时间风险模型[J].应用数学学报,2006,29(3):518-526. 被引量：2
5林埜,张元林.可修Consecutive-k-out-of-n:G系统(英文)[J].运筹学学报,2000,4(3):19-32. 被引量：1
6李伯德,李效虎.基于剩余寿命的寿命分布的几个新的偏序(英文)[J].兰州大学学报（自然科学版）,2005,41(2):134-138.
7刘春燕,石忠锐.Orlicz空间的U性质[J].数学物理学报（A辑）,2011,31(2):328-334.
8SHENYuan-long,ZHANGWen-jie.Exact Reliability Formulas for Linear Consecutive-k-out-of-n: F Systems[J].The Journal of China Universities of Posts and Telecommunications,2001,8(4):42-46.
9王苗苗,马少仙,马明,边莉娜.不同冲击间隔分布下经典δ冲击模型的参数估计[J].湖南文理学院学报（自然科学版）,2016,28(4):4-5.
10李补喜,胥雪炎.更新过程中分布参数的最大似然估计[J].山西大学学报（自然科学版）,1993,16(4):361-366. 被引量：2

西北师范大学学报（自然科学版）

2008年第3期

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NBU(2)与NBUC寿命分布的一些性质

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