Gaps in samples of geometric random variables

被引：5
|
作者：
Goh, William M. Y. [1 ]
Hitczenko, Pawel
机构：
[1] Drexel Univ, Dept Math, Philadelphia, PA 19104 USA
[2] Drexel Univ, Dept Math & Comp Sci, Philadelphia, PA 19104 USA
来源：
DISCRETE MATHEMATICS | 2007年 / 307卷 / 22期
关键词：
gaps; geometric random variables; asymptotic analysis; mellin transform;
D O I：
10.1016/j.disc.2007.01.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we continue the study of gaps in samples of geometric random variables originated in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometric random variables. Discrete Math. 294 (2005) 225-239] and continued in Louchard and Prodinger [The number of gaps in sequences of geometrically distributed random variables, Preprint available at (http://www.ulb.ac.be/di/mcs/louchard/) (number 81 on the list) or at (http://math.sun.ac.za/similar to prodinger/pdffiles/gapsAPRIL27.pdf.) In particular, since the notion of a gap differs in these two papers, we derive some of the results obtained in Louchard and Prodinger [The number of gaps in sequences of geometrically distributed random variables, Preprint available at (http://www.ulb.ac.be/di/mcs/louchard/) (number 81 on the list) or at (http://math.sun.ac.za/similar to prodinger/Pdffiles/gapsAPRIL27.pdf.)] for gaps as defined in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometric random variables. Discrete Math. 294 (2005) 225-239]. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2871 / 2890
页数：20
相关论文
共 50 条
  • [1] SEPARATION OF THE MAXIMA IN SAMPLES OF GEOMETRIC RANDOM VARIABLES
    Brennan, Charlotte
    Knopfmacher, Arnold
    Mansour, Toufik
    Wagner, Stephan
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2011, 5 (02) : 271 - 282
  • [2] Descent variation of samples of geometric random variables
    Brennan, Charlotte
    Knopfmacher, Arnold
    [J]. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2013, 15 (02): : 1 - 12
  • [3] The number of descents in samples of geometric random variables
    Knopfmacher, A
    Prodinger, H
    [J]. MATHEMATICS AND COMPUTER SCIENCE III: ALGORITHMS, TREES, COMBINATORICS AND PROBABILITIES, 2004, : 339 - 350
  • [4] The first descent in samples of geometric random variables and permutations
    Knopfmacher, Arnold
    Prodinger, Helmut
    [J]. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2008, 10 (01): : 215 - 234
  • [5] The first descent in samples of geometric random variables and permutations
    Knopfmacher, Arnold
    Prodinger, Helmut
    [J]. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2006, 8 (01): : 215 - 234
  • [6] The last descent in samples of geometric random variables and permutations
    Knopfmacher, Arnold
    Prodinger, Helmut
    [J]. ARS COMBINATORIA, 2007, 83 : 365 - 379
  • [7] Descents following maximal values in samples of geometric random variables
    Archibald, Margaret
    Blecher, Aubrey
    Brennan, Charlotte
    Knopfmacher, Arnold
    [J]. STATISTICS & PROBABILITY LETTERS, 2015, 97 : 229 - 240
  • [8] GAPS IN DISCRETE RANDOM SAMPLES
    Gruebel, Rudolf
    Hitczenko, Pawei
    [J]. JOURNAL OF APPLIED PROBABILITY, 2009, 46 (04) : 1038 - 1051
  • [9] Gap-free compositions and gap-free samples of geometric random variables
    Hitczenko, P
    Knoffmacher, A
    [J]. DISCRETE MATHEMATICS, 2005, 294 (03) : 225 - 239
  • [10] Characterization of the geometric and exponential random variables
    Dodunekova, R
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2004, 33 (08) : 1755 - 1765
12345