Chow-Type Maximal Inequality for Conditional Demimartingales and Its Applications

Citation:

Xuejun WANG,Shijie WANG,Chen XU,Shuhe HU.Chow-Type Maximal Inequality for Conditional Demimartingales and Its Applications[J].Chinese Annals of Mathematics B,2015,36(6):957~968
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Authors:

Xuejun WANG; Shijie WANG;Chen XU;Shuhe HU

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.\,11201001, 11171001, 11426032), the National Social Science Foundation of China (No.\,14ATJ005), the Anhui Provincial Natural Science Foundation of China (No.\,1508085J06) and the Research Teaching Model Curriculum of Anhui University (No.\,xjyjkc1407).
Abstract: In this paper, the Chow-type maximal inequality for conditional demimartingales is established. By using the Chow-type maximal inequality, the authors provide the maximal inequality for conditional demimartingales based on {concave Young functions}. At last, the moment inequalities for conditional demimartingales are established.

Keywords:

Conditional demimartingales, Chow-type maximal inequality, Concave Young functions

Classification:

60E15, 60E05, 60G48
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