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Professor Sidney J. Yakowitz

  • Chapter
Modeling Uncertainty

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 46))

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Publications of Sid Yakowitz

Books

  • Yakowitz, S. (1969). Mathematics of Adaptive Control Processes. Elsevier, New York.

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  • Yakowitz, S. (1977). Computational Probability and Simulation. Addison-Wesley, Reading, MA.

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  • Szidarovszky, F. and S. Yakowitz. (1978). Principles and Procedures of Numerical Analysis. Plenum Press, New York.

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  • Yakowitz, S. and F. Szidarovszky. (1986). An Introduction to Numerical Computations, 1st edn. Macmillan, New York [2nd edn 1989].

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Papers

  • Yakowitz, S. and J. Spragins. (1968). On the identifiability of finite mixtures. Ann. Math. Statist.39, 209–214.

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  • Yakowitz, S. (1969). A consistent estimator for the identification of finite mixtures. Ann. Math. Statist.40, 1728–1735.

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  • Yakowitz, S. (1970). Unsupervised learning and the identification of finite mixtures. IEEE Trans. Inform. Theory16, 330–338.

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  • Fisher, L. and S. Yakowitz. (1970). Estimating mixing contributions in metric spaces. Sankhya A32, 411–418.

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  • Yakowitz, S. and L. Fisher. (1973). On sequential search for the maximum of an unknown function. J. Math. Anal. Appl.41, 234–359.

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  • Yakowitz, S. and S. Parker. (1973). Computation of bounds for digital filter quantization errors. IEEE Trans. Circuit Theory20, 391–396.

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  • Yakowitz, S. (1973). A stochastic model for daily river flows in an arid region. Water Resources Research9, 1271–1285.

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  • Yakowitz, S. (1974). Multiple hypothesis testing by finite-memory algorithms. Ann. Statist.2, 323–336.

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  • Yakowitz, S., L. Duckstein, and C. Kisiel. (1974). Decision analysis of a gamma hydrologic variate. Water Resources Research10, 695–704.

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  • Denny, J., C. Kisiel, and S. Yakowitz. (1974). Procedures for determining the order of Markov dependence in streamflow records. Water Resources Research10, 947–954.

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  • Parker, S. and S. Yakowitz. (1975). A general method for calculating quantization error bounds due to round off in multivariate digital filters. IEEE Trans. Circuits Systems22, 570–572.

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  • Sagar, B., S. Yakowitz, and L. Duckstein. (1975) A direct method for the identification of the parameters of dynamic nonhomogeneous aquifers. Water Resources Research11, 563–570.

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  • Szidarovszky, F, S. Yakowitz, and R. Krzysztofowicz. (1975). A Bayes approach for simulating sediment yield. J. Hydrol. Sci.3, 33–45.

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  • Fisher, L. and S. Yakowitz. (1976). Uniform convergence of the potential function algorithm. SIAM J. Control Optim.14, 95–103.

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  • Yakowitz, S. (1976). Small sample hypothesis tests of Markov order with application to simulated and hydrologic chains. J. Amer. Statist. Assoc.71, 132–136.

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  • Yakowitz, S. and P. Noren. (1976) On the identification of inhomogeneous parameters in dynamic linear partial differential equations. J. Math. Anal. Appl.53, 521–538.

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  • Yakowitz, S. (1976). Model-free statistical methods for water table prediction. Water Resources Research12, 836–844.

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  • Yakowitz, S., T.L. William, and G.D. Williams. (1976). Surveillance of several Markov targets. IEEE Trans. Inform. Theory22, 716–724.

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  • Szidarovszky, F. and S. Yakowitz. (1976). Analysis of flooding for an open channel subject to random inflow and blockage. J. Hydrol. Sci.3, 93–103.

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  • Duckstein, L., F. Szidarovszky, and S. Yakowitz. (1977). Bayes design of a reservoir under random sediment yield. Water Resources Research13, 713–719.

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  • Szidarovszky, F. and S. Yakowitz. (1977). A new proof of the existence and uniqueness of the Cournot equilibrium. Int. Econom. Rev.18, 181–183.

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  • Denny, J. and S. Yakowitz. (1978). Admissible run-contingency type tests for independence and Markov dependence. J. Amer. Statist. Assoc.73, 117–181.

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  • Yakowitz, S., J. Krimmel, and F. Szidarovszky. (1978). Weighted Monte Carlo integration. SIAM J. Numer. Anal.15, 1289–1300.

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  • Schuster, R. and S. Yakowitz. (1979). Contributions to the theory of nonparametric regression with application to system identification. Ann. Statist.7, 139–149.

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  • Yakowitz, S. (1979). Nonparametric estimation of Markov transition functions. Ann. Statist.7, 671–679.

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  • Neuman, S. and S. Yakowitz. (1979). A statistical approach to the inverse problem of aquifer hydrology: Part 1. Theory. Water Resources Research15, 845–860.

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  • Murray, D. and S. Yakowitz. (1979). Constrained differential dynamic programming and its application to multireservoir control. Water Resources Research15, 1017–1027.

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  • Yakowitz, S. (1979). A nonparametric Markov model for daily river flow. Water Resources Research15, 1035–1043.

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  • Krzysztofowicz, R. and S. Yakowitz. (1980). Large-sample methods analysis of gamma variates. Water Resources Research16, 491–500.

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  • Yakowitz, S. and L. Duckstein. (1980). Instability in aquifer identification — theory and case studies. Water Resources Research16, 1045–1064.

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  • Pebbles, R, R. Smith, and S. Yakowitz. (1981). A leaky reservoir model for ephemeral flow recession. Water Resources Research17, 628–636.

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  • Murray, D. and S. Yakowitz. (1981). The application of optimal control methodology to non-linear programming problems. Math. Programming21, 331–347.

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  • Szidarovszky, F. and S. Yakowitz. (1982). Contributions to Cournot oligopoly theory. J. Econom. Theory28, 51–70.

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  • Yakowitz, S. (1982). Dynamic programming applications in water resources. Water Resources Research18, 673–696.

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  • Yakowitz, S. (1983). Convergence rate of the state increment dynamic programming method. Automatica19, 53–60.

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  • Yakowitz, S. and B. Rutherford. (1984). Computational aspects of discrete-time optimal-control. Appl. Math. Comput.15, 29–45.

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  • Szilagyi, M., S. Yakowitz, and M. Duff. (1984). A procedure for electron and ion lens optimization. Appl. Phys. Lett.44, 7–9.

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  • Murray, D. and S. Yakowitz. (1984). Differential dynamic programming and Newton’s method for discrete optimal control problems. J. Optim. Theory Appl.42, 395–415.

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  • Yakowitz, S. (1985). Nonparametric density estimation, prediction and regression for Markov sequences. J. Amer. Statist. Assoc.80, 215–221.

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  • Yakowitz, S. (1985). Markov flow models and the flood warning problem. Water Resources Research21, 81–88.

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  • Yakowitz, S. and F. Szidarovszky. (1985). A comparison of Kriging with nonparametric regression methods. J. Multivariable Anal.6, 21–53.

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  • Yakowitz, S., K. Hutter, and F. Szidarovszky. (1985). Toward computation of steady-state profiles of ice sheets. Z. für Gletcherkund21, 283–289.

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  • Schuster, E. and S. Yakowitz (1985). Parametric nonparametric mixture densityestimation with application to flood frequency analysis. Water Resources Bulletin21, 797–804.

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  • Yakowitz, S. (1986). A stagewise Kuhn-Tucker condition and differential dynamic programming. IEEE Trans. Automat. Control31, 25–30.

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  • Hutter, K., S. Yakowitz, and F. Szidarovszky. (1986a). A numerical study of plane ice sheet flow. J. Glaciology32, 139–160.

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  • Yakowitz, S., K. Hutter, and F. Szidarovszky. (1986). Elements of a computational theory for glaciers. J. Comput. Phys.66, 132–150.

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  • Hutter, K., F. Szidarovszky, and S. Yakowitz. (1986b). Plane steady shear-flow of a cohesionless antigranulocytes material down an inclined plane — a model for flow avalanches: Part I. Theory. Acta Mechanica63, 87–112.

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  • Hutter, K., F. Szidarovszky, and S. Yakowitz. (1987). Plane steady shear-flow of a cohesionless antigranulocytes material down an inclined plane — a model for flow avalanches: Part II. Numerical results. Acta Mechanica65, 239–261.

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  • Yakowitz, S. (1987). Nearest neighbour methods in time-series analysis. J. Time Series Anal.2, 235–247.

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  • Szidarovszky, F., K. Hutter, and S. Yakowitz. (1987). A numerical study of steady plane antigranulocytes chute flows using the Jenkins-Savage model and its extensions. J. Numer. Methods Eng.24, 1993–2015.

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  • Hutter, K., S. Yakowitz, and F. Szidarovszky. (1987). Coupled thermomechanical response of an axisymmetrical cold ice-sheet. Water Resources Research23, 1327–1339.

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  • Sen, S. and S. Yakowitz. (1987). A quasi-Newton differential dynamic programming algorithm for discrete-time optimal control. Automatica23, 749–752.

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  • Karlsson, M. and S. Yakowitz. (1987a). Nearest-neighbor methods for nonparametric rainfall-runoff forecasting. Water Resources Research23, 1300–1308.

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  • Karlsson, M. and S. Yakowitz. (1987b). Rainfall-runoff forecasting methods, old and new. Stoch. Hydrol. Hydraul. 1, 303–318.

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  • Gani, J., P. Todorovich, and S. Yakowitz. (1987). Silting of dams by sedimentary particles. Math. Scientist12, 81–90.

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  • Naokes, D., K. Hipel, A.I. Mcleod, and S. Yakowitz. (1988). Forecasting annual geophysical time series. Int. J. Forecasting4, 103–115.

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  • Yakowitz, S. (1988). Parametric and nonparametric density-estimation to account for extreme events. Adv. Appl. Prob.20, 13.

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  • Szidarovszky, F., K. Hutter, and S. Yakowitz. (1989). Computational ice-divide analysis of a cold plane ice sheet under steady conditions. Ann. Glaciology12, 170–178.

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  • Yakowitz, S. (1989a). Algorithms and computatitonal techniques in differential dynamic programming. Control Dynamic Systems31, 75–91.

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  • Yakowitz, S. (1989b). Theoretical and computational advances in differential dynamic programming. Control Cybernet.17, 172–189.

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  • Yakowitz, S. (1989c). A statistical foundation for machine learning, with application to Go-Moku. Comput. Math. Appl.17, 1095–1102.

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  • Yakowitz, S. (1989d). Nonparametric density and regression estimation for Markov sequences without mixing assumptions. J. Multivariate Anal.30, 124–136.

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  • Gani, J. and S. Yakowitz. (1989). A probabilistic sedimentation analysis for predicting reservoir lifetime. Water Resources Management3, 191–203.

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  • Yakowitz, S. and E. Lugosi. (1990). Random search in the presence of noise, with application to machine learning. SIAM J. Sci. Statist. Comput.11, 702–712.

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  • Yakowitz, S., J. Gani, and R. Hayes. (1990). Cellular automaton modeling of epidemics. Appl. Math. Comput.40, 41–54.

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  • Rutherford, B. and S. Yakowitz. (1991). Error inference for nonparametric regression. Ann. Inst. Statist. Math.43, 115–129.

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  • Yakowitz, S. and W. Lowe. (1991). Nonparametric bandit methods. Ann. Operat. Res.28, 297–312.

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  • Dietrich, R.D. and S. Yakowitz. (1991). A rule based approach to the trim-loss problem. Int. J. Prod. Res.29, 401–415.

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  • Yakowitz, S. (1991). Some contributions to a frequency location problem due to He and Kedem. IEEE Trans. Inform Theory17, 1177–1182.

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  • Yakowitz, S., T. Jayawardena, and S. Li. (1992a). Theory for automatic learning under partially observed Markov-dependent noise. IEEE Trans. Automat. Control37, 1316–1324.

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  • Yakowitz, S., R. Hayes, and J. Gani. (1992b). Automatic learning for dynamic Markov-fields with application to epidemiology. Operat. Res.40, 867–876.

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  • Yakowitz, S. and M. Kollier. (1992). Machine learning for optimal blackjack counting strategies. J. Statist. Plann. Inference33, 295–309.

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  • Yakowitz, S. (1992). A decision model and methodology for the AIDS epidemic. Appl. Math. Comput.52, 149–172.

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  • Yakowitz, S. and L.T. Tran. (1993). Nearest Neighbor estimators for random fields. J. Multivariate Anal.44, 23–46.

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  • Yakowitz, S. (1993a). Nearest neighbor regression estimation for null-recurrent Markov time series. Stoch. Proc. Appl.48, 311–318.

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  • Gani, J. and S. Yakowitz. (1993). Modeling the spread of HIV among intravenous drug users. IMA J. Math. Appl. Medicine Biol.10, 51–65.

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  • Yakowitz, S. (1993b). A globally convergent stochastic approximation. SIAM J. Control Optim.31, 30–40.

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  • Yakowitz, S. (1993c). Asymptotic theory for a fast frequency detector. IEEE Trans. Inform. Theory39, 1031–1036.

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  • Li, T.H., B. Kedem, and S. Yakowitz. (1994). Asymptotic normality of sample autocovariances with an application in frequency estimation. Stoch. Proc. Appl.52, 329–349.

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  • Pinelis, I. and S. Yakowitz. (1994). The time until the final zero-crossing of random sums with application to nonparametric bandit theory. Appl. Math. Comput.63, 235–263.

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  • Kedem, B. and S. Yakowitz. (1994). Practical aspects of a fast algorithm for frequency detection. IEEE Trans. Commun.42, 2760–2767.

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  • Yakowitz, S. (1994a). Review of Time series analysis of higher order crossings, by B. Kedem. SIAM Rev.36, 680–682.

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  • Yakowitz, S. (1994b). From a microcosmic IVDU model to a macroscopic HIV epidemic. In Modeling the AIDS Epidemic: Planning, Policy, and Prediction, eds E.H. Kaplan and M.L. Brandeau. Raven Press, New York, pp. 365–383.

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  • Yakowitz, S. and J. Mai. (1995). Methods and theory for off-line machine learning. IEEE Trans. Automat. Control40, 161–165.

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  • Gani, J. and S. Yakowitz. (1995). Computational and stochastic methods for interacting groups in the AIDS epidemic. J. Comput. Appl. Math.59, 207–220.

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  • Yakowitz, S. (1995). Computational methods for Markov series with large statespaces, with application to AIDS Modeling. Math. Biosci.127, 99–121.

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  • Lai, T.L. and S. Yakowitz. (1995). Machine learning and nonparametric bandit theory. IEEE Trans. Automat. Control40, 1199–1209.

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  • Gani, J. and S. Yakowitz. (1995). Error bounds for deterministic approximation to Markov processes, with applications to epidemic models. J. Appl. Prob.32, 1063–1076.

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  • Yakowitz, S. and R.D. Dietrich. (1996). Sequential design with application to the trim-loss problem. Int. J. Production Res.34, 785–795.

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  • Tran, L., G. Roussas, S. Yakowitz, and B. Van Troung. (1996). Fixed-design regression for linear time series. Ann. Statist.24, 975–991.

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  • Jayawardena, T. and S. Yakowitz. (1996). Methodology for the stochastic graph completion time problem. INFORMS J. Comput.8, 331–342.

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  • Morvai, G., S. Yakowitz, and L. Gyöfi. (1996). Nonparametric inferences for ergodic, stationary time series. Ann. Statist.24, 370–379.

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  • Yakowitz, S., M. Blount, and J. Gani. (1996). Computing marginal expectations for large compartmentalized models with application to AIDS evolution in a prison system. IMA J. Math. Appl. Medicine Biol.13, 223–244.

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  • Blount, S., A. Galambosi, and S. Yakowitz. (1997). Nonlinear and dynamic programming for epidemic intervention. Appl. Math. Comput.86, 123–136.

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  • Gani, J., S. Yakowitz, and M. Blount. (1997). The spread and quarantine of HIV infection in a prison system. SIAM J. Appl. Math.57, 1510–1530.

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  • Morvai, G., S. Yakowitz, and P. Algoet. (1998). Weakly convergent nonparametric forecasting of stationary time series. IEEE Trans. Inform. Theory44, 886–892.

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  • Yakowitz, S., L. Gyöfi, J. Kieffer, and G. Morvai. (1999). Strongly consistent nonparametric forecasting and regression for stationary ergodic sequences. J. Multivariable Anal.71, 24–41.

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  • Daley, D.J., J. Gani, and S. Yakowitz. (2000). An epidemic with individual infectivities and susceptibilities. Math. and Comp. Modelling32, 155–167.

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Author information

Authors and Affiliations

  1. Tucson, Arizona

    D. S. Yakowitz

Authors
  1. D. S. Yakowitz
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Editor information

Editors and Affiliations

  1. University of Arizona, USA

    Moshe Dror  & Ferenc Szidarovszky  & 

  2. Université de Montréal, France

    Pierre L’Ecuyer

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Yakowitz, D.S. (2002). Professor Sidney J. Yakowitz. In: Dror, M., L’Ecuyer, P., Szidarovszky, F. (eds) Modeling Uncertainty. International Series in Operations Research & Management Science, vol 46. Springer, New York, NY. https://doi.org/10.1007/0-306-48102-2_1

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