数学与计算机科学 |
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关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记 |
徐晓岭1, 王蓉华2, 顾蓓青1 |
1. 上海对外经贸大学 统计与信息学院, 上海 201620; 2. 上海师范大学 数理学院, 上海 200234 |
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Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution |
XU Xiaoling1, WANG Ronghua2, GU Beiqing1 |
1. School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China; 2. Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China |
[1] BIRNBAUM Z W, SAUNDERS S C. A new family of life distribution[J]. Journal of Applied Probability,1969(6):319-322. [2] DESMOND A F. Stochastic models of failure in random environments[J]. The Canadian Journal of Statistics,1985(2):171-176. [3] DESMOND A F. On the relationship between two fatigue-life models[J]. IEEE Transactions on Reliability,1986(2):167-171. [4] BIRNBAUM Z W, SAUNDERS S C. Estimation for a family of life distributions with applications to fatigue[J]. Appl Prob, 1969(6):328-347. [5] ENGELHARDT M, WRIGHT F T. Inferences on the parameters of the Birnbaum Saunders fatigue life distribution based on maximum likelihood estimation[J]. Technometrics,1981,23(3):251-256. [6] RIECK J R, NEDELMAN J R. A log-linear model for the Birnbaum Saunders distribution[J]. Techanometrics,1991,33(1):51-60. [7] NG H K T, KUNDU D, BALAKRISHNAN N. Modified moment estimation for the two-parameter Birnbaum-Saunders distribution[J]. Computational Statistics and Data Analysis,2003,43:283-298. [8] DUPUIS D J, MILLS J E. Robust estimation of the Birnbaum distribution[J]. IEEE Transactions on Reliability,1998,47(1):88-95. [9] CHANG D S, TANG L C. Reliability bounds and critical time for the Birnbaum-Saunders distribution[J]. Reliability, IEEE Transactions on Reliability,1993,42:464-469. [10] RIECK J R. Parametric estimation for the Birnbaum-Saunders distribution based on symmetrically censored samples[J]. Communication Statistics-Theory Methods,1995,24:1721-1736. [11] OWEN W J, PADGETT W J. A Birnbaum-Saunders accelerated life model[J]. IEEE Transactions on Reliability,2000,49(2):224-229. [12] OWEN W J, PADGETT W J. Acceleration models for system strength based on Birnbaum-Saunders distribution[J]. Lifetime Data Analysis,1999(5):133-147. [13] OWEN W J, PADGETT W J. Power-law accelerated Birnbaum-Saunders life models[J]. International Journal of Reliability, Quality and Safety Engineering,2000,7(1):1-15. [14] KUNDU D, KANNAN N, BALAKRISHNAN N. On the hazard function of Birnbaum-Saunders distribution and associated inference[J]. Computational Statistics & Data Analysis,2008,52(5):2692-2702. [15] 王炳兴,王玲玲.Birnbaum-Saunders疲劳寿命分布的参数估计[J].华东师范大学学报,1996(4):10-15. WANG Bingxing, WAGN Lingling. Parameter estimation of Birnbaum-Saunders fatigue life distribution[J]. Journal of East China Normal University,1996(4):10-15. [16] 王炳兴,王玲玲.Birnbaum-Saunders疲劳寿命分布在截尾试验情形的统计分析[J].应用概率统计,1996,12(4):369-375. WANG Bingxing, WAGN Lingling. Statistical analysis of Birnbaum-Saunders fatigue life distribution in the censored test case[J]. Applied Probability and Statistics,1996,12(4):369-375. [17] 王蓉华,费鹤良.双边截尾场合下BS疲劳寿命分布的参数估计[J].上海师范大学学报,1999,28(2):17-22. WANG Ronghua, FEI Heliang. Parameter estimation for the BS fatigue life distribution under bilateral censoring[J]. Journal of Shanghai Normal University,1999,28(2):17-22. [18] WANG Ronghua, FEI Heliang. Statistical analysis for the Birnbaum-Saunders fatigue life distribution under multiply type II censoring[J]. Chin Quart J of Math,2006,21(1):15-27. [19] WANG Ronghua, FEI Heliang. Statistical analysis for the Birnbaum-Saunders fatigue life distribution under type II bilateral censoring and multiply type II censoring[J]. Chin Quart J of Math,2004,19(2):126-132. [20] 孙祝岭.Birnbaum-Saunders疲劳寿命分布尺度参数的区间估计[J].兵工学报,2009,30(11):1558-1561. SUN Zhuling. Interval estimation of scale parameter for Birnbaum-Saunders fatigue life distribution[J]. Acta Armamentarii,2009,30(11):1158-1561. [21] 孙祝岭.Birnbaum-Saunders疲劳寿命分布参数的回归估计方法[J].兵工学报,2010,31(9):1260-1262. SUN Zhuling. Regression estimation method of parameters for Birnbaum-Saunders fatigue life distribution[J]. Acta Armamentarii,2010,31(9):1260-1262. [22] 孙祝岭.疲劳寿命分布变异系数的统计推断[J].质量与可靠性,2013(1):13-15. SUN Zhuling. Statistical inference of variable coefficient for fatigue life distribution[J]. Quality and Reliability,2013(1):13-15. [23] 孙祝岭. Birnbaum-Saunders分布环境因子 |
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