Comparison of numbers of records in the sequences of discrete and continuous random variables

被引:1
作者
Nevzorov V.B. [1 ]
机构
[1] St. Petersburg State University, St. Petersburg
基金
俄罗斯基础研究基金会;
关键词
exponential distributions; geometrical distributions; record times; record values;
D O I
10.3103/S1063454117030116
中图分类号
学科分类号
摘要
Different record achievements are fixed in many domains of human activities. This process very often happens with some rate of digitization (up to seconds, meters, or thousands of individuals) of the observed results. By the examples of exponential and geometrical distributions, it is shown how such a type of the transitions from continuous to discrete distributions may vary the numbers of the record values in the corresponding sequences of the random variables. © 2017, Allerton Press, Inc.
引用
收藏
页码:282 / 286
页数:4
相关论文
共 4 条
[1]  
Arnold B.C., Balakrishnan N., Nagaraja H.N., Records, (1998)
[2]  
Chandler K.N., The distribution and frequency of record values, J. R. Stat. Soc., Ser. B, 14, pp. 220-228, (1952)
[3]  
Nevzorov V.B., Records. Mathematical Theory, (2000)
[4]  
Vervaat W., Limit theorems for records from discrete distributions, Stochastic Process. Appl., 1, pp. 317-334, (1973)