Maximum a posteriori estimation of elliptic Gaussian fields observed via a noisy nonlinear channel

Agmon, 1965 Dembo, 1989, Onsager-Machlup functional and maximum a posteriori estimation for a class of non-Gaussian random fields, J. Multivariate Anal. Ikeda, 1989 Nualart, 1986, Generalized stochastic integrals and the Malliavin calculus, Probab. Theory Rel. Fields, 73, 255, 10.1007/BF00339940 Nualart, 1989, On the relation between the Stratonovich and Ogawa integrals, Ann. Probab., 17, 1536, 10.1214/aop/1176991172 Ogawa, 1984, The stochastic integral of noncausal type as an extension of the symmetric integrals, Japan J. Appl. Math., 2, 229, 10.1007/BF03167046 Ramer, 1974, On nonlinear transformations of Gajssian measures, J. Funct. Anal., 15, 166, 10.1016/0022-1236(74)90017-2 Stratonovich, 1971, On the probability functional of diffusion processes, 1960, Vol. 10 Walsh, 1986, An introduction to stochastic partial differential equation, Vol. 1180, 265 Wong, 1979, A likelihood ratio formula for two dimensional random field, IEEE Trans. Inf. Theory, 20, 418, 10.1109/TIT.1974.1055255 Zeitouni, 1987, A maximum a posteriori estimator for trajectories of diffusion processes, Stochastic, 20, 221, 10.1080/17442508708833444 Zeitouni, 1988, An existence theorem and some properties of maximum a posteriori estimators of diffusions, Stochastic, 23, 197, 10.1080/17442508808833490 Zeitouni, 1989, On the Onsager-Machlup functional around non C2 curves, Ann. Probab., 17, 1037, 10.1214/aop/1176991255