Title page for etd-0619101-135518


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URN etd-0619101-135518
Author Tzu-Tsen Yeh
Author's Email Address No Public.
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Department Applied Mathematics
Year 2000
Semester 2
Degree Master
Type of Document
Language English
Title An Investigation of Some Problems Related to Renewal Process
Date of Defense 2001-06-08
Page Count 16
Keyword
  • random sum
  • geometric renewal process
  • new worse than used
  • exponential distribution
  • geometric distribution
  • NWU distribution
  • renewal process
  • Abstract In this thesis we present some related problems about the renewal processes. More precisely, let $gamma_{t}$ be the residual life at time $t$ of the renewal process $A={A(t),t geq 0}$, $F$ be the common distribution function of the inter-arrival times. Under suitable conditions, we prove that if $Var(gamma_{t})=E^2(gamma_{t})-E(gamma_{t}),forall t=0,1
    ho,2
    ho,3
    ho,... $, then $F$ will be geometrically distributed under the assumption $F$ is discrete. We also discuss
    the tails of random sums for the renewal process. We prove that the $k$ power of random sum is always new worse than used ($NWU$).
    Advisory Committee
  • Wen-Jang Huang - chair
  • Jyh-Chemg Su - co-chair
  • Mong-Na Lo - advisor
  • Files
  • etd-0619101-135518.pdf
  • indicate accessible in a year
    Date of Submission 2001-06-19

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