BACKWARD REPRESENTATION FOR NONSTATIONARY MARKOV-PROCESSES WITH FINITE-STATE SPACE

被引:5
作者
DIMASI, GB
KITSUL, PI
机构
[1] UNIV PADUA,DIPARTIMENTO MATEMAT PURA & APPLICATA,I-35131 PADUA,ITALY
[2] CNR,LADSEB,I-35131 PADUA,ITALY
[3] RUSSIAN ACAD SCI,INST PROBLEMS INFORMAT TRANSMISS,MOSCOW 101447,RUSSIA
关键词
REVERSE-TIME PROCESSES; FORWARD AND BACKWARD REPRESENTATIONS; BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS; FINITE-STATE MARKOV PROCESS; SQUARE-INTEGRABLE MARTINGALES;
D O I
10.1016/0167-6911(94)90088-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider a problem of time reversal for a nonstationary continuous-time Markov processes with k states. The proposed approach is strongly based on the backward representation of the Gaussian analog of the original Markov process.
引用
收藏
页码:445 / 450
页数:6
相关论文
共 8 条
  • [1] STOCHASTIC-REALIZATION APPROACH TO THE SMOOTHING PROBLEM
    BADAWI, FA
    LINDQUIST, A
    PAVON, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) : 878 - 888
  • [2] Chung K.L., 1969, ACTA MATH, V123, P225
  • [3] DIMASI GB, 1991, STOCHASTICS STOCHAST, V36, P1
  • [4] REVERSE TIME DIFFUSIONS
    ELLIOTT, RJ
    ANDERSON, BDO
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1985, 19 (02) : 327 - 339
  • [5] ELLIOTT RJ, 1990, ANN I H POINCARE-PR, V26, P357
  • [6] KITSUL PI, 1989, AUTOMAT REM CONTR+, V50, P340
  • [7] LIPTSER RS, 1977, STATISTICS RANDOM PR
  • [8] LIPTSER RS, 1985, STAT CONTROL STOCHAS, P305