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二元Arnold-Strauss型指数分布的条件指数性及渐近独立性
Exponential Conditionals and Asymptotically Independent of Arnold-Strauss’s Bivariate Exponential Distribution
【摘要】 本文讨论二元Arnold-Strauss型指数分布的条件指数性及渐近独立性,证明了给定X关于Y的条件密度和给定Y关于X的条件密度都是指数分布密度,求出了用于预报的条件概率;并证明了X,Y之间的渐近独立性.另外,讨论了它的识别性,若已知可识最小值的分布密度时,所有参数皆可识别.
【Abstract】 Exponential conditionals and asymptotically independent of the Arnold-Strauss’s bivariate exponential distribution are considered in this paper.We show that if X is given then Y has an exponential distribution,and if Y is given then X has an exponential distribution,hence two conditional probabilities are obtained.We also show that X and Y are asymptotically independent.Moreover,all parameters are identified if the distribution of identified minimum is known.
【关键词】 二元Arnold-Strauss型指数分布;
条件指数性;
渐近独立性;
识别性;
【Key words】 Arnold-Strauss’s bivariate exponential distribution; exponential conditionals; asymptotically independent; identifiability;
【Key words】 Arnold-Strauss’s bivariate exponential distribution; exponential conditionals; asymptotically independent; identifiability;
【基金】 宁波大学学科项目(XKL14D2037)
- 【文献出处】 高等数学研究 ,Studies in College Mathematics , 编辑部邮箱 ,2018年01期
- 【分类号】O21
- 【下载频次】52