Optimal estimation for semimartingale neuronal models

Journal of Statistical Planning and Inference - Tập 33 - Trang 143-156 - 1992
M.K. Habib1
1Center of Computational Statistics, George Mason University, Fairfax, VA, USA

Tài liệu tham khảo

Basawa, 1980 Bellach, 1980, Consistency, asymptotic normality and asymptotic efficiency of the maximum-likelihood estimator in linear stochastic differential equations, Math. Operationsforsch. Statist. Ser. Statistics, 11, 227 Bellach, 1983, Parameter estimators in linear stochastic differential equations and their asymptotic properties, Math. Operationsforsch. Statist. Ser. Statistics, 14, 141 Brown, 1975, Asymptotic likelihood theory for diffusion processes, J. Appl. Probab., 12, 228, 10.2307/3212436 Christopeit, 1986, Quasi-least-squares estimation in semimartingale regression models, Stochastic, 16, 255, 10.1080/17442508608833376 Capocelli, 1971, Diffusion approximation and first passage time problem for a model neuron, Kybernetik, 8, 214, 10.1007/BF00288750 Elliot, 1982 Favella, 1982, First passage time problems and related computational models, Cybernet. Syst. Ser., 13, 95, 10.1080/01969728208927693 Feigin, 1976, Maximum likelihood estimation for continuous-time stochastic processes, Adv. in Appl. Probab., 8, 712, 10.2307/1425931 Ferster, 1987, Origin of orientation-selective EPSPs in neurons of cat visual cortex, J. Neurosci., 7, 1780, 10.1523/JNEUROSCI.07-06-01780.1987 Godambe, 1960, An optimum property of regular maximum likelihood equation, Ann. Math. Statist., 31, 1208, 10.1214/aoms/1177705693 Godambe, 1985, The foundations of finite sample estimation in stochastic processes, Biometrika, 12, 419, 10.1093/biomet/72.2.419 Godambe, 1987, Quasi-likelihood and optimal estimation, Internat. Statist. Rev., 55, 231, 10.2307/1403403 Habib, 1985, Parameter estimation for randomly stopped processes and neuronal modeling, UNC Institute of Statistics Hall, 1980 Heyde, 1992, New developments in inference for temporal stochastic processes, J. Statist. Plann. Inference, 33, 121, 10.1016/0378-3758(92)90097-C Hutten, 1986, Quasi-likelihood estimation for semimartingales, Stochastic Process. Appl., 22, 245, 10.1016/0304-4149(86)90004-9 Ikeda, 1981 Johannesma, 1968, Diffusion models for the stochastic activity of neurons Kallianpur, 1983, On the diffusion approximation to a discontinuous model for a single neuron Kandel, 1981 Lánský, 1983, Inference for the diffusion models of neuronal activity, Math. Biosci., 67, 247, 10.1016/0025-5564(83)90103-7 Lindsey, 1985, Using empirical partially Bayes inference for increased efficiency, Ann. Statist., 13, 914, 10.1214/aos/1176349646 Liptser, 1980, A functional central limit theorem for semi-martingales, Theory Probab. Appl., 25, 683 Liptser, 1981, On necessary and sufficient conditions on a central limit theorem for semi-martingales, Theory Prob. Appl., 25, 123 Ricciardi, 1976, Diffusion approximation for a multi-input model neuron, Biol. Cybernet., 24, 237, 10.1007/BF00335984 Ricciardi, 1979, The Örnstein–Uhlenbeck process as a model for neuronal activity, Biol. Cybernet., 35, 1, 10.1007/BF01845839 Shiryayev, 1981, Martingales: Recent developments, results and applications, Internat. Statist. Rev., 49, 199, 10.2307/1402605 Shiryayev, 1984 Snyder, 1975 Stein, 1965, Some models of neuronal variability, Biophys. J., 5, 173, 10.1016/S0006-3495(65)86709-1 Tanaka, 1983, Cross-correlation analysis of geniculostriate neuronal relationships in cats, J. Neurophysiol., 49, 1303, 10.1152/jn.1983.49.6.1303 Tuckwell, 1980, Accuracy of neuronal interspike times calculated from a diffusion approximation, J. Theoret. Biol., 83, 377, 10.1016/0022-5193(80)90045-4 Thavaneswaran, 1985, Estimation for Semimartingales Thavaneswaran, 1986, Optimal estimation for semimartingales, J. Appl. Probab., 23, 409, 10.2307/3214183 Tjøstheim, 1986, Estimation in nonlinear time series models, Stochastic Process. Appl., 21, 251, 10.1016/0304-4149(86)90099-2 Wegman, 1990, Stochastic methods of neural systems, J. Statist. Plann. Inference, 33, 5, 10.1016/0378-3758(92)90092-7