Moshe Zakai
Israeli scientist
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Physics
Moshe Zakai's Degrees
- PhD Physics Tel Aviv University
- Masters Physics Tel Aviv University
- Bachelors Physics Tel Aviv University
Why Is Moshe Zakai Influential?
(Suggest an Edit or Addition)According to Wikipedia, Moshe Zakai was a Distinguished Professor at the Technion, Israel in electrical engineering, member of the Israel Academy of Sciences and Humanities and Rothschild Prize winner. Biography Moshe Zakai was born in Sokółka, Poland, to his parents Rachel and Eliezer Zakheim with whom he immigrated to Israel in 1936. He got the BSc degree in electrical engineering from the Technion – Israel Institute of Technology in 1951. He joined the scientific department of the Defense Minister of Israel, where he was assigned to research and development of radar systems. From 1956 to 1958, he did graduate work at the University of Illinois on an Israeli Government Fellowship, and was awarded the PhD in electrical engineering. He then returned to the scientific department as head of the communication research group. In 1965, he joined the faculty of the Technion as an associate professor. In 1969, he was promoted to the rank of professor and in 1970, he was appointed the holder of the Fondiller Chair in Telecommunication. He was appointed distinguished professor in 1985. From 1970 until 1973, he served as the dean of the faculty of Electrical Engineering, and from 1976 to 1978 he served as vice president of academic affairs. He retired in 1998 as distinguished professor emeritus.
Moshe Zakai's Published Works
Published Works
- On the optimal filtering of diffusion processes (1969) (675)
- ON THE RELATION BETWEEN ORDINARY AND STOCHASTIC DIFFERENTIAL EQUATIONS (1965) (623)
- On the Convergence of Ordinary Integrals to Stochastic Integrals (1965) (592)
- Some lower bounds on signal parameter estimation (1969) (255)
- Improved Lower Bounds on Signal Parameter Estimation (1975) (188)
- Martingales and stochastic integrals for processes with a multi-dimensional parameter (1974) (177)
- Transformation of Measure on Wiener Space (2000) (167)
- Generalized stochastic integrals and the malliavin calculus (1986) (165)
- Some Classes of Global Cramer-Rao Bounds (1987) (162)
- Mutual information of the white Gaussian channel with and without feedback (1971) (130)
- A lower bound on the estimation error for certain diffusion processes (1976) (124)
- Weak Martingales and Stochastic Integrals in the Plane (1976) (106)
- Band-Limited Functions and the Sampling Theorem (1965) (98)
- Riemann-Stieltjes approximations of stochastic integrals (1969) (87)
- On functionals satisfying a data-processing theorem (1973) (87)
- A Lyapunov Criterion for the Existence of Stationary Probability Distributions for Systems Perturbed by Noise (1969) (82)
- On Nonnegative Solutions of the Equation $AD + DA' = - C$ (1970) (82)
- On the Ultimate Boundedness of Moments Associated with Solutions of Stochastic Differential Equations (1967) (72)
- Generalized multiple stochastic integrals and the representation of wiener functionals (1988) (63)
- A lower bound on the estimation error for Markov processes (1975) (62)
- Differentiation formulas for stochastic integrals in the plane (1978) (59)
- ABSOLUTE CONTINUITY AND RADON-NIKODYM DERIVATIVES FOR CERTAIN MEASURES RELATIVE TO WIENER MEASURE' (1971) (54)
- The Malliavin calculus (1985) (54)
- On Independence and Conditioning On Wiener Space (1989) (48)
- Generalized Brownian functionals and the solution to a stochastic partial differential equation (1989) (46)
- On mutual information, likelihood ratios, and estimation error for the additive Gaussian channel (2004) (45)
- A Generalization of the Rate-Distortion Theory and Applications (1975) (42)
- Lower and upper bounds on the optimal filtering error of certain diffusion processes (1972) (41)
- On the threshold effect in radar range estimation (Corresp.) (1969) (41)
- Capacity of a continuous memoryless channel with feedback (1971) (40)
- The Construction of Filtrations on Abstract Wiener Space (1997) (39)
- An Extension of Stochastic Integrals in the Plane (1977) (37)
- Asymptotic a priori estimates for the error in the nonlinear filtering problem (1982) (35)
- Predictable and dual predictable projections of two-parameter stochastic processes (1980) (34)
- Transformation of Wiener measure under anticipative flows (1992) (34)
- Random rotations of the Wiener path (1995) (33)
- The realization of positive random variables via absolutely continuous transformations of measure on Wiener space (2005) (32)
- Some Classes of Two-Parameter Martingales (1981) (32)
- General error criteria (Corresp.) (1964) (32)
- On the Relation Between the Stratonovich and Ogawa Integrals (1989) (32)
- On a formula relating the Shannon information to the fisher information for the filtering problem (1984) (29)
- On the moments of a multiple Wiener-Ito integral and the space induced by the polynomials of the integral (1988) (29)
- Likelihood ratios and transformation of probability associated with two-parameter Wiener processes (1977) (28)
- The oscillation of stochastic integrals (1965) (27)
- Some relations between mutual information and estimation error in Wiener space (2006) (26)
- On the Epsilon -entropy and the rate-distortion function of certain non-Gaussian processes (1974) (25)
- Multiple Wiener-Ito integrals possessing a continuous extension (1990) (25)
- Some moment inequalities for stochastic integrals and for solutions of stochastic differential equations (1967) (25)
- When Does the Ramer Formula Look Like the Girsanov Formula (1992) (23)
- Transformation of the Wiener measure under non-invertible shifts (1994) (23)
- On the structure of independence on Wiener space (1990) (23)
- Sufficient conditions for the invertibility of adapted perturbations of identity on the Wiener space (2006) (20)
- Second-order properties of the pre-envelope and envelope processes (Corresp.) (1960) (20)
- The partial Malliavin calculus (1989) (20)
- Positive and Strongly Positive Wiener Functionals (1993) (19)
- Stationary probability measures for linear differential equations driven by white noise (1970) (19)
- A Class of Definitions of "Duration" (or "Uncertainty") and the Associated Uncertainty Relations (1960) (18)
- Simplified Relationships for the Prohahijity Distribution of the Phase of a Sine Wave in Narrow-Band Normal Noise (1974) (18)
- Some relations among classes of σ-fields on Wiener space (1990) (16)
- The Sample Function Continuity of Stochastic Integrals in the Plane (1977) (16)
- Stochastic integration, trace and the skeleton of Wiener functionals (1990) (15)
- Applications of the degree theorem to absolute continuity on Wiener space (1993) (15)
- Stochastic Analysis: Liber Amicorum for Moshe Zakai (1991) (14)
- On the optimal tracking problem (1992) (13)
- Markov processes on the plane (1985) (13)
- Error bounds for the nonlinear filtering of signals with small diffusion coefficients (1988) (12)
- Embedding the Abstract Wiener Space in a Probability Space (2000) (12)
- Multiparameter martingale differential forms (1987) (11)
- A summary of some identities of the Malliavin calculus (1989) (11)
- Tangent Processes on Wiener Space (2001) (11)
- The divergence of Banach space valued random variables on Wiener space (2003) (11)
- The Clark–Ocone formula for vector valued Wiener functionals (2005) (10)
- The Effect of Background Noise on the Operation of Oscillators (1965) (10)
- The representation of narrow-band processes (Corresp.) (1962) (10)
- Malliavin Derivatives and Derivatives of Functionals of the Wiener Process with Respect to a Scale Parameter (1985) (9)
- Measures induced on Wiener space by monotone shifts (1996) (9)
- The Sard Inequality on Wiener Space (1997) (9)
- The Optimal Filtering of Markov Jump Processes in Additive White Noise (2009) (8)
- On a property of Wiener filters (1959) (6)
- A characterization of the kernels associated with the multiple integral representation of some functional of the Wiener process (1982) (6)
- The composition of Wiener functionals with non absolutely continuous Shifts (1994) (6)
- The maximum likelihood estimator for a phase comparison angle measuring system (1963) (6)
- Some effects of noise on the operation of oscillators (1971) (6)
- Isotropic Gauss-Markov currents (1989) (6)
- Degree theory on Wiener space (1997) (5)
- On the Uniform Integrability of the Radon–Nikodym Densities for Wiener Measure (1998) (5)
- On the First-order Probability Distribution of the Van der Pol Type Oscillator Output† (1963) (5)
- On the relations between increasing functions associated with two-parameter continuous martingales (1990) (5)
- Rotations and Tangent Processes on Wiener Space (2003) (5)
- Asymptotic Bounds on the Minimal Error of Non-Linear Filtering (1981) (4)
- Some remarks on integration with respect to weak martingales (1981) (4)
- The change of variables formula on Wiener space (1997) (4)
- Bimeasures and measures induced by Planar Stochastic integrators (1986) (4)
- Comments, with reply, on "Status of CR-like lower bounds for nonlinear filtering" by T.H. Kerr (1990) (3)
- Stopping a two parameter weak martingale (1987) (3)
- On the Memory Length of the Optimal Nonlinear Filter (1988) (3)
- Some remarks on independence and conditioning on Wiener space (1990) (3)
- Spectral representation of isotropic random currents (1989) (3)
- Corrigendum to "The Clark-Ocone formula for vector valued Wiener functionals" (J. Funct. Anal. 229 (2005) 143-154) (2008) (3)
- Some measure-preserving point transformations on the Wiener space and their ergodicity (2000) (3)
- Worthy martingales and integrators (1993) (2)
- Bounds on the Epsilon -entropy of Wiener and RC processes (Corresp.) (1973) (2)
- Some results on likelihood ratios for two-parameter processes (1982) (2)
- On lower bounds for the nonlinear filtering problem (1981) (2)
- On likelihood-ratios , mutual information and estimation error for the additive Gaussian channel (2004) (2)
- Some covariance inequalities in Wiener space (2008) (1)
- Correction to "The divergence of Banach space valued random variables on Wiener space", Prob. Th. Rel. Fields 132, 291-320 (2005) (2007) (1)
- The divergence of Banach space valued random variables on Wiener space (2005) (1)
- The Degree Theorem on Wiener Space (2000) (1)
- The Wiener Chaos Expansion of Certain Radon-Nikodym Derivatives (1992) (1)
- Some Ergodic Theorems for Random Rotations on Wiener Space (2001) (1)
- The Sard Inequality (2000) (1)
- Generalized Radon-Nikodym Derivatives (2000) (1)
- The Clark-Ocone formula for vector valued random variables in abstract Wiener space (2004) (0)
- Some Background Material and Preliminary Results (2000) (0)
- Absolute Continuity of Monotone Shifts on the Wiener Space (1996) (0)
- Transformation of Measure Induced by Adapted Shifts (2000) (0)
- ON THE CONVERGENCE OF ORDINARY INTEGRALS TO (2016) (0)
- Correction to 'Second-Order Properties of the Pre-Envelope Processes' (1962) (0)
- Transformation of Measure Under Anticipative Flows (2000) (0)
- The Distribution Route from Ancestors to Descendants (2009) (0)
- AKAI Spectral representation of isotropic random currents (2018) (0)
- Degree Theory on Wiener Space and an Application to a Class of SPDEs (1997) (0)
- Transformation of Measure Induced by General Shifts (2000) (0)
- Review of Recent Developments in Information and Decision Processes (1964) (0)
- Erratum: On the Optimal Tracking Problem (1994) (0)
- Probability Theory-related Fields Multiparameter Martingale Differential Forms (2004) (0)
- A Footnote to the Papers which Prove the Nonexistence of Finite Dimensional Filters (1981) (0)
- Stochastic integrals in the plane (1977) (0)
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