Characterization of the geometric and exponential random variables

被引：2
|
作者：
Dodunekova, R
机构：
[1] Chalmers Univ Technol, Dept Math Stat, S-41296 Gothenburg, Sweden
[2] Univ Gothenburg, Gothenburg, Sweden
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2004年 / 33卷 / 08期
关键词：
geometric distribution; exponential distribution; characterization;
D O I：
10.1081/STA-120037439
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Let the random variable X be distributed over the non-negative integers and let L-m and R-m be the quotient and the remainder in the division of X by m. It is shown that X is geometric if and only if L-m and R-m are independent for m = 2, 3,.... In similar terms is also characterized the exponential random variable.
引用
收藏
页码：1755 / 1765
页数：11
相关论文
共 50 条
  • [41] An Estimate of Parameters of Random Variables of Exponential Distributions
    L. V. Volokh
    Cybernetics and Systems Analysis, 2000, 36 : 786 - 790
  • [42] On the convolution of inverse Gaussian and exponential random variables
    Schwarz, W
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2002, 31 (12) : 2113 - 2121
  • [43] ELEMENTARY CHARACTERIZATION OF GEOMETRIC + EXPONENTIAL DISTRIBUTIONS
    RUBIN, H
    AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (07): : 828 - &
  • [44] SEPARATION OF THE MAXIMA IN SAMPLES OF GEOMETRIC RANDOM VARIABLES
    Brennan, Charlotte
    Knopfmacher, Arnold
    Mansour, Toufik
    Wagner, Stephan
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2011, 5 (02) : 271 - 282
  • [45] On the expectation of the maximum of IID geometric random variables
    Eisenberg, Bennett
    STATISTICS & PROBABILITY LETTERS, 2008, 78 (02) : 135 - 143
  • [46] Descent variation of samples of geometric random variables
    Brennan, Charlotte
    Knopfmacher, Arnold
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2013, 15 (02): : 1 - 12
  • [47] Geometric random variables: Descents following maxima
    Archibald, Margaret
    Blecher, Aubrey
    Brennan, Charlotte
    Knopfmacher, Arnold
    Prodinger, Helmut
    STATISTICS & PROBABILITY LETTERS, 2017, 124 : 140 - 147
  • [48] The number of descents in samples of geometric random variables
    Knopfmacher, A
    Prodinger, H
    MATHEMATICS AND COMPUTER SCIENCE III: ALGORITHMS, TREES, COMBINATORICS AND PROBABILITIES, 2004, : 339 - 350
  • [49] Descent variation of samples of geometric random variables
    2013, Discrete Mathematics and Theoretical Computer Science (15):
  • [50] GEOMETRIC SUMS OF NONNEGATIVE RANDOM-VARIABLES
    RUBINOVITCH, M
    ADVANCES IN APPLIED PROBABILITY, 1980, 12 (02) : 285 - 286
12345