頁籤選單縮合
題名 | Characterizations of the Order Statistics Point Process by the Relations between its Conditional Moments= |
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作者 | Huang, Wen-Jang; Su, Nan-Cheng; Su, Jyh-Cherng; |
期刊 | 中國統計學報 |
出版日期 | 20070300 |
卷期 | 45:1 2007.03[民96.03] |
頁次 | 頁38-54 |
分類號 | 319.5 |
語文 | eng |
關鍵詞 | Characterization; Nonhomogeneous poisson process; Order statistics; Order statistics property; Record values; |
英文摘要 | Let A□{A(t),t □ 0} be an order statistics point process, with E(A(t)) = m(t) being the mean value function of A(t), t □ 0. It is known that m(t) determines the distribution of the process A. In this work, we give some characterizations of m(t), by using certain relations between the conditional moments of the last jump time or current life of A at time t. It is interesting that some results are parallel to those characterizations of Poisson process as a renewal process. Finally, we present some extensions of the results about record values given in Abu-Youssef (2003) |
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