STOCHASTIC INTEGRALS AND STOCHASTIC FUNCTIONAL EQUATIONS

被引:29
作者
MCSHANE, EJ
机构
关键词
D O I
10.1137/0117029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Definition of stochastic integral by apparently trifling yet effective modification of Riemann procedure; integral exists under hypotheses which, compared with those for Ito integral, are stronger with regard to continuity properties but weaker with regard to stochastic properties; in particular, Z does not have to be martingale; when hypotheses for existence of both integrals are satisfied, integrals agree.
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页码:287 / &
相关论文
共 7 条
[1]  
[Anonymous], 1962, Ordinary differential equations
[2]  
Doob J.L., 1953, Stochastic processes
[3]  
Ito K., 1964, J. Appl. Psychol. Mathematics, V4, P1, DOI DOI 10.1215/KJM/1250524705
[4]  
MARUYAMA G, 1955, REND CIRC MAT PALERM, VT004, P48
[5]  
Stratonovich R. L., 1964, Vestn. Mosk. Univ., Ser.: Mat. Mekh., P3
[6]  
Stratonovich R. L., 1966, SIAM J. Control, V4, P362, DOI [DOI 10.1137/0304028, 10.1137/0304028]
[7]  
Tonelli L, 1928, BULL CALCUTTA MATH S, V20, P31