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Limit theorems for Hawkes processes with uniform immigrants
설영수 대한수학회 2019 대한수학회지 Vol.56 No.4
Hawkes process is a self-exciting simple point process with clustering effect whose jump rate depends on its entire past history. We consider Hawkes processes with uniform immigrants which is a special case of the Hawkes processes with renewal immigrants. We study the limit theorems for Hawkes processes with uniform immigrants. In particular, we obtain a law of large number, a central limit theorem, and a large deviation principle.
김종구,임석훈,설영수 경북대학교 과학교육연구소 1997 科學敎育硏究誌 Vol.21 No.-
This study is to discuss the educational problem about whether an exact proof is useful in the secondary school mathematics education formally in the development of mathematical thought and whether we should teach students an exact proof up to an extent.
김종구 ( Jong Gu Kim ),임석훈 ( Seog Hoon Rim ),설영수 ( Young Su Seol ) 경북대학교 과학교육연구소 1997 科學敎育硏究誌 Vol.21 No.-
This study is to discuss the educational problem about whether an exact proof is useful in the secondary school mathematics education formally in the development of mathematical thought and whether we should teach students an exact proof up to an extent.