Title page for etd-0702101-111410


[Back to Results | New Search]

URN etd-0702101-111410
Author Nan-Cheng Su
Author's Email Address sunc@math.nsysu.edu.tw
Statistics This thesis had been viewed 5061 times. Download 3194 times.
Department Applied Mathematics
Year 2000
Semester 2
Degree Master
Type of Document
Language English
Title Thinning of Renewal Process
Date of Defense 2000-06-08
Page Count 17
Keyword
  • Poisson process
  • Poisson distribution
  • exponential distribution
  • characterization
  • renewal process
  • residual life
  • thinning process
  • Abstract In this thesis we investigate thinning of the renewal process. After multinomial thinning from a renewal process A, we obtain the k thinned processes, A_i , i =1,…, k. Based on some characterizations of the Poisson process as a renewal process, we give another characterizations of the Poisson process from some relations of expectation, variance, covariance, residual life of the k thinned processes. Secondly, we consider that at each arrival time we allow the number of arrivals to be i.i.d. random variables, also the mass of each unit atom can be split into k new atoms with the i-th new atom assigned to the process D_i , i =1,…, k. We also have characterizations of the Poisson process from some relations of expectation, variance of the process D_i , i =1,…, k.
    Advisory Committee
  • Wen-Jang Huang - chair
  • Jyh-Cherng Su - co-chair
  • Mong-Na Lo Huang - advisor
  • Files
  • renewal.pdf
  • indicate accessible in a year
    Date of Submission 2001-07-02

    [Back to Results | New Search]


    Browse | Search All Available ETDs

    If you have more questions or technical problems, please contact eThesys