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研究生:黃春豆
研究生(外文):Chuen-Dow Huang
論文名稱:稀分更新過程之逆過程的探討
論文名稱(外文):A Study of Inverses of Thinned Renewal Processes.
指導教授:黃文璋黃文璋引用關係
指導教授(外文):Wen-Jang Huang
學位類別:碩士
校院名稱:國立中山大學
系所名稱:應用數學系研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:16
中文關鍵詞:Gamma-c分佈Markov鏈Poisson 過程負二項分佈更新過程稀分更新過程Laplace 轉換完全單調
外文關鍵詞:Laplace transformnegative binomial distributionrenewal processthinned point processcompletely monotonePoisson processMarkov chainGamma-c distribution
相關次數:
  • 被引用被引用:0
  • 點閱點閱:176
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  • 下載下載:8
  • 收藏至我的研究室書目清單書目收藏:0
我們討論有關更新過程的稀分和Markov鏈稀分之性質,探討一些可由Markov鏈稀分得來之特殊的更新過程。
We study the properties of thinning and Markov chain thinning of renewal processes. Among others, we investigate whether some special renewal processes can be obtained through Markov chain thinning.
1.Introduction
2.Preliminaries
3.Some basic properties for thinning via a Markov chain
4.Delayed gamma-c renewal processes
5.Delayed negative binomial renewal processes
6.An example
7.Discussion
1.Chandramohan, J. and Liang, L. K. (1985). Bernoulli, multinomial and markov chain thinning of some point processes and some results about the superposition of dependent renewal processes. J. Appl. Prob. 22, 828-835.
2.Chung, K. L. (1974). A Course in Probability Theory, 2nd ed., Academic Press, New York.
3.Feller, W. (1971). An Introduction to Probability Theory and Its Application, Vol 2, 2nd ed., John Wiley & Sons, New York.
4.Grandell, J. (1991). Aspects of Risk Theory. Springer-Verlag, New York.
5.Isham, V. (1980). Dependent thinning of point processes. J. Appl. Prob. 17, 987-995.
6.Kolsrud, T. (1986). Some comments on thinned renewal processes. Scand. Actuarial. J. , 236-241.
7.Yannaros, N. (1988). Some comments on the inverse problem for thinned renewal processes. Scand. Actuarial J. , 113-116.
8.Yannaros, N. (1988a). On Cox processes and gamma renewal processes. J. Appl. Prob. 25, 423-427.
9.Yannaros, N. (1988b). The inverses of thinned renewal processes. J. Appl. Prob. 25, 822-828.
10. Yannaros, N. (1991). Randomly observed random walks. Commun. tatist.-Stochastic Models. 7(2), 219-231.
11.Yannaros, N. (1994). Weibull renewal processes. Ann. Inst. Statist. Math. 46, 41-648.
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