臺灣博碩士論文加值系統

在本論文,我們同時考慮高記錄值和低記錄值,即所謂的雙邊記錄值。我們給出雙邊記錄值個數的分佈和極限分佈。此外並探討雙邊記錄值發生時間的分佈及其相關的極限分佈,以及前後記錄時間差之尾端分佈。

In this work, we consider both the upper record values and lower record values, the so-called two-sided record values. we study the exact and asymtotic distributions of the number of two-sided record values. Also we investigate the exact distribution and relative asymptotic distribution of the two-sided record times. Finally, we give the tail distribution of the two-sided inter-record times.

Abstract................................................................................................... ii
1.Introduction............................................................................................1
2.Results for two-sided record values ..................................................... 3
2.1. Some results of the number of two-sided record values................ 4
2.2. Some results of the two-sided record times................................... 8
3.An example......................................................................................... 12
Appendix................................................................................................ 13
References............................................................................................... 20

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