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1

Nonlinear statistical models. Wiley, 1987.

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2

Pázman, Andrej. Nonlinear statistical models. Kluwer Academic Publishers, 1993.

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3

Gallant, A. Ronald, ed. Nonlinear Statistical Models. John Wiley & Sons, Inc., 1987. http://dx.doi.org/10.1002/9780470316719.

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4

Pázman, Andrej. Nonlinear Statistical Models. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-2450-0.

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5

Jonsson, Fan Yang. Non-linear structural equation models: Simulation studies of the Kenny-Judd model. Uppsala University, 1997.

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6

Grafarend, Erik. Linear and Nonlinear Models: Fixed effects, random effects, and total least squares. Springer Berlin Heidelberg, 2012.

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7

Stock, James H. A comparison of linear and nonlinear univariate models for for[e]casting macroeconomic time series. National Bureau of Economic Research, 1998.

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8

Oono, Yoshitsugu. The Nonlinear World: Conceptual Analysis and Phenomenology. Springer Japan, 2013.

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9

Takeshi, Amemiya, Hsiao Cheng 1943-, Morimune Kimio, and Powell James 1955-, eds. Nonlinear statistical modeling: Proceedings of the thirteenth International Symposium in Economic Theory and Econometrics : essays in honor of Takeshi Amemiya. Cambridge University Press, 2001.

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10

Exponential family nonlinear models. Springer, 1998.

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11

Pötscher, Benedikt M. Dynamic Nonlinear Econometric Models: Asymptotic Theory. Springer Berlin Heidelberg, 1997.

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12

Meijerink, Frits. A nonlinear structural relations model. DSWO Press, 1995.

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13

L, Koul H., ed. Weighted empirical processes in dynamic nonlinear models. 2nd ed. Springer, 2002.

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14

Handbook of nonlinear regression models. M. Dekker, 1990.

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15

R, Prucha Ingmar, ed. Dynamic nonlinear econometric models: Asymptotic theory. Springer-Verlag, 1997.

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16

Seber, G. A. F. Nonlinear regression. Wiley-Interscience, 2003.

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17

1952-, Wild C. J., ed. Nonlinear regression. Wiley, 1989.

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18

Davidian, Marie. Nonlinear models for repeated measurement data. Chapman & Hall, 1995.

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19

Davidian, Marie. Nonlinear models for repeated measurement data. Chapman & Hall/CRC, 1998.

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20

Bunke, Helga, and Olaf Bunke, eds. Statistical Methods of Model Building: V2. Nonlinear Regression, Functional Relations and Robust Methods. John Wiley & Sons Ltd, 1989.

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21

Graybill, Conference (2001 Fort Collins Colo ). Proceedings: Graybill Conference 2001 : linear, nonlinear and generalized linear models. Dept. of Statistics, Colorado State University, 2003.

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22

Gallant, A. Ronald. A unified theory of estimation and inference for nonlinear dynamic models. B. Blackwell, 1988.

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23

G, Watts Donald, ed. Nonlinear regression analysis and its applications. Wiley, 1988.

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24

Chemodurov, Vladimir, and Ella Litvinova. Physical and mathematical modeling of building systems. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1014191.

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Physical and mathematical modeling is widely used in scientific research. This is due to the fact that field experiments on real construction sites are often impossible to organize for various reasons. The material included in the textbook is a summary of the authors ' experience in the field of system analysis. In the first section, the regularities of physical modeling of the functioning of objects based on the similarity and dimension theorems are considered. The second section presents modern models and methods for choosing optimal solutions: linear, nonlinear, stochastic, and statistical.
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25

Antonio, Palacios, Schweitzer Frank, Kacprzyk Janusz, et al., eds. Applications of Nonlinear Dynamics: Model and Design of Complex Systems. Springer Berlin Heidelberg, 2009.

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26

Complex and chaotic nonlinear dynamics: Advances in economics and finance, mathematics and statistics. Springer, 2009.

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27

Douc, Randal. Nonlinear times series: Theory, methods and applications with R examples. CRC Press, 2014.

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28

Durieux, Christine. L'épistémologie de la règle de trois: Du statique linéaire au dynamique non linéaire. Presses Universitaires de Caen, 2000.

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29

C, Turner Matthew, and Bates Declan, eds. Mathematical methods for robust and nonlinear control: EPSRC Summer School. Springer, 2007.

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30

Bellomo, N. Nonlinear stochastic systems in physics and mechanics. World Scientific Pub., 1987.

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31

Riccardo, Riganti, ed. Nonlinear stochastic systems in physics and mechanics. World Scientific, 1987.

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32

1950-, Ashley Richard A., ed. A nonlinear time series workshop: A toolkit for detecting and identifying nonlinear serial dependence. Kluwer Academic, 2000.

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33

Gallant, A. Ronald. Nonlinear Statistical Models. Wiley & Sons, Incorporated, John, 2009.

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34

Lindsey, J. K. NonLinear Models for Medical Statistics (Oxford Statistical Science Series). 2nd ed. Oxford University Press, USA, 2001.

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35

Busuioc, Aristita, and Alexandru Dumitrescu. Empirical-Statistical Downscaling: Nonlinear Statistical Downscaling. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190228620.013.770.

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This is an advance summary of a forthcoming article in the Oxford Research Encyclopedia of Climate Science. Please check back later for the full article.The concept of statistical downscaling or empirical-statistical downscaling became a distinct and important scientific approach in climate science in recent decades, when the climate change issue and assessment of climate change impact on various social and natural systems have become international challenges. Global climate models are the best tools for estimating future climate conditions. Even if improvements can be made in state-of-the art
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36

Tatarinova, Tatiana V., and Alan Schumitzky. Nonlinear Mixture Models: A Bayesian Approach. Imperial College Press, 2015.

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37

Gelman, Andrew, and Deborah Nolan. Multiple regression and nonlinear models. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198785699.003.0010.

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This chapter covers multiple regression and links statistical inference to general topics such as lurking variables that arose earlier. Many examples can be used to illustrate multiple regression, but we have found it useful to come to class prepared with a specific example, with computer output (since our students learn to run the regressions on the computer). We have found it is a good strategy to simply use a regression analysis from some published source (e.g., a social science journal) and go through the model and its interpretation with the class, asking students how the regression resul
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38

Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows. Cambridge University Press, 2006.

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39

W, Raudenbush Stephen, ed. HLM 5: Hierchical linear and nonlinear modeling. 2nd ed. Scientific Software International Inc., 2001.

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40

Bryk, Congdon, Cheong, and Raudenbush. HLM 5: Hierarchical Linear and Nonlinear Modeling. Scientific Software International, 2001.

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41

Oono, Yoshitsugu. The Nonlinear World: Conceptual Analysis and Phenomenology. Springer, 2012.

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42

Oono, Yoshitsugu. The Nonlinear World: Conceptual Analysis and Phenomenology. Yoshitsugu Oono, 2014.

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43

(Editor), Cheng Hsiao, Kimio Morimune (Editor), and James L. Powell (Editor), eds. Nonlinear Statistical Modeling: Proceedings of the Thirteenth International Symposium in Economic Theory and Econometrics: Essays in Honor of Takeshi Amemiya ... in Economic Theory and Econometrics). Cambridge University Press, 2001.

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44

(Editor), Armin Bunde, Jürgen Kropp (Editor), and Hans-Joachim Schellnhuber (Editor), eds. The Science of Disasters. Springer, 2002.

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45

The science of disasters: Climate disruptions, heart attacks, and market crashes. Springer, 2002.

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46

Bunke, Helga. Nonlinear Regression, Functional Relations and Robust Methods: Statistical Methods of Model Building (Wiley Series in Probability and Statistics). John Wiley & Sons, 1989.

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47

Davidian, Marie, and David M. Giltinan. Nonlinear Models for Repeated Measurement Data (Monographs on Statistics and Applied Probability). Chapman & Hall/CRC, 1995.

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48

1949-, Creedy John, and Martin Vance 1955-, eds. Nonlinear economic models: Cross-sectional, time series and neural network applications. E. Elgar, 1997.

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49

Linear And Nonlinear Models Vol I Fixed Effects Random Effects And Total Least Squares. Springer, 2012.

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50

Design Of Experiments In Nonlinear Models Asymptotic Normality Optimality Criteria And Smallsample Properties. Springer-Verlag New York Inc., 2013.

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