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.
引用
收藏
页码:287 / &
相关论文
共 7 条
  • [1] BIRKHOFF G., 1962, ORDINARY DIFFERENTIA
  • [2] Doob J. L., 1953, STOCHASTIC PROCESSES, V101
  • [3] It o K, 1964, J MATH KYOTO U, V4, P1
  • [4] MARUYAMA G, 1955, REND CIRC MAT PALERM, VT004, P48
  • [5] Stratonovich R. L., 1964, VESTN MGU, 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