JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 91-96.doi: 10.6040/j.issn.1671-9352.0.2016.233

Previous Articles     Next Articles

Maximal φ-inequalities for conditional N-demimartingales based on Y functions

FENG De-cheng, WANG Xiao-yan, GAO Yu-feng   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2016-05-19 Online:2017-02-20 Published:2017-01-18

PDF (PC)

805

Abstract: We obtain the maximal φ-inequalities for conditional N-demimartingales based on Y functions in this paper.

Key words: conditional N-demimartingale, maximal φ, Y function, -inequality

CLC Number: 

  • O211
[1] CHRISTODES T C. Maximal inequalities for N-demimartingales[J]. Journal of Mathematical Analysis and Applications, 2003, 50(1):397-408.
[2] RAO B L S P. On some inequalities for N-demimartingales[J]. Journal of the Indian Society of Agricultural Statistics, 2004, 57:208-216.
[3] ALSMEYER G, R(¨overo)SLER U. Maximal phi-inequalities for nonnegative submartingales[J]. Theory of Probability and Its Applications, 2006, 50(1):118-128.
[4] RAO B L S P. On some maximal inequalities for demisubmartingales and N-demisupermartingales[J]. Journal of Inequalities in Pure and Applied Mathematics, 2007, 8(4), Article112.
[5] WANG X J, HU S H, PRAKASA RAO B L S P, et al. Maximal inequalities for N-demimartingale and strong law of large numbers[J]. Statistics and Probability Letters, 2011, 81(9):1348-1353.
[6] WANG X J, PRAKASA RAO B L S P, HU S H, et al. On some maximal inequalities for demimartingales and N-demimartingales based on concave young functions [J]. Journal of Mathematical Analysis and Applications, 2012, 396: 434-440.
[7] HU Shuhe, WANG Xinghui, YANG Wenzhi, et al. Some inequalities for demimartingales and N-demimartingales[J]. Statistics and Probability Letters, 2012, 82(2): 232-239.
[8] HADJIKYRIAKOU M. Comparison of conditional expectations of functions of strong N-demimartingales and functions of sums of conditionally independent random variables[J]. Statistics and Probability Letters, 2013, 83(4):1282-1286.
[9] CHRISTODES T C, HADJIKYRIAKOU M. Conditional demimartingales and related results[J]. Journal of Mathematical Analysis and Applications, 2013, 398(1): 380-391.
[10] WANG Xinghui, WANG Xuejun. Some inequalities for conditional demimartingales and conditional N-demimartingales[J]. Statistics and Probability Letters, 2013, 83(3): 700-709.
[11] WANG Xinghui, HU Shuhe. On the maximal inequalities for conditional demimartingales[J]. Journal of Mathematical Inequalities, 2014, 8(3): 545-558.
[12] YANG Wenzhi, HU Shuhe. Some maximal type inequalities for N-demimartingales and related results[J]. Mathematical Inequalities and Applications, 2014, 17(2): 731-747.
[13] 冯德成,刘红蕊,牛彩莉.基于cY函数的F -弱鞅和条件N-弱鞅的最大值不等式[J].西南大学学报(自然科学版), 2015, 37(11): 77-81. FENG Decheng, LIU Hongrui, NIU Caili. On some maximal inequalities for F -demimartingale and contional N-demimartingale based on concave young functions[J]. Journal of Southwest University(Natural Science), 2015, 37(11):77-81.
[1] . Equilibrium decisions of a two-layer supply chain network considering retailers horizontal fairness [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(9): 69-82.
[2] . Interval algorithm for mixed integer nonlinear two-level programming problems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(2): 9-17.
[3] HU Qian, MI Ju-sheng, LI Lei-jun. The fuzzy belief structure and attribute reduction based on multi-granulation fuzzy rough operators [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 30-36.
[4] CHANG Xiao-xuan, JI Pei-sheng. Class of fuzzy bounded operators in Felbins type fuzzy normed linear spaces [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 49-54.
[5] LI Shuang-an, CHEN Feng-hua, ZHAO Yan-wei. The application of a supermemory gradient method for large-scale signal reconstruction problem [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(1): 65-73.
[6] CUI An-gang, LI Hai-yang. Equivalence between the affine matrix rank minimization problem and the unconstrained matrix rank minimization problem [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 86-89.
[7] CHEN Jie, LÜ Yu-hua. Discounted penalty function for a thinning risk model with dividend [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(09): 78-83.
[8] LIU Fu-ti1,2, CHENG Xiao-hong1, ZHANG Shu-hua3. The electronic structure,elastic and thermodynamic properties of 3C-SiC at high pressure [J]. J4, 2013, 48(3): 13-18.
[9] WANG Ai-feng1,2. The steptype contrast structure for a singularly perturbed system with slow and fast variables [J]. J4, 2013, 48(2): 98-104.
[10] SUN Ai-wen, WANG Xiao-shan, SHU Li-sheng. Boundedness of the Littlewood-Paley function g*λ, μ  on the generalized
Morrey spaces with non-doubling measures [J]. J4, 2013, 48(12): 96-99.
[11] ZHANG Shu-hua1, CHENG Xiao-hong2, LIU Fu-ti2,3*. Electronic structure and thermodynamic properties of ZrC [J]. J4, 2012, 47(7): 30-33.
[12] ZHANG Shu-hua1, LIU Fu-ti2,3, CHENG Xiao-hong3. Electronic structure and optical property of CaF2under high pressure [J]. J4, 2011, 46(7): 39-42.
[13] DING Wei-ping1,2,3, WANG Jian-dong2, DUAN Wei-hua2, SHI Quan1. Research of cooperative PSO for attribute reduction optimization [J]. J4, 2011, 46(5): 97-102.
[14] ZHANG Shu-hua1, LIU Fu-ti2, CHENG Xiao-hong2. Study of the elastic and thermodynamic properties of CaF2 [J]. J4, 2011, 46(3): 23-25.
[15] LIU Fu-Ti, ZHANG Shu-Hua, GAO Ceng-Hui. The optical property of GaN under high pressure [J]. J4, 2010, 45(1): 69-72.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd