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1

Paulauskas, V., and A. Račkauskas. Approximation Theory in the Central Limit Theorem. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-011-7798-6.

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2

Fischer, Hans. A History of the Central Limit Theorem. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-0-387-87857-7.

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3

Fernandes, Marcelo. Central limit theorem for asymmetric kernel functionals. Florence: European University Institute, 2000.

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4

Fernandes, Marcelo. Central limit theorem for asymmetric kernel functionals. Badia Fiesolana, San Domenico: European University Institute, 2000.

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5

Jong, Peter de. Central limit theorems for generalized multilinear forms. [Amsterdam, the Netherlands]: Centrum voor Wiskunde en Information, 1989.

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6

Adams, William J. The life and times of the central limit theorem. 2nd ed. Providence, R.I: American Mathematical Society, 2009.

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7

Adams, William J. The life and times of the central limit theorem. 2nd ed. Providence, R.I: American Mathematical Society, 2009.

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8

Adams, William J. The life and times of the central limit theorem. 2nd ed. Providence, R.I: American Mathematical Society, 2009.

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9

Jurek, Zbigniew J. Operator-limit distributions in probability theory. New York: Wiley, 1993.

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10

Senatov, V. V. Qualitative effects in the estimates of the convergence rate in the central limit theorem in multidimensional spaces. Moscow: Maik Nauka/Interperiodica Publishing, 1996.

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11

Senatov, V. V. Kachestvennye ėffekty v ot︠s︡enkakh skorosti skhodimosti v t︠s︡entralʹnoĭ predelʹnoĭ teoreme v mnogomernykh prostranstvakh. Moskva: Nauka, 1997.

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12

Hawkins, D. L. A central limit theorem for certain nonlinear statistics in repeated sampling of a finite population / D.L. Hawkins, Chien-Pai Han. Arlington, Tex: University of Texas at Arlington, Dept. of Mathematics, 1996.

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13

A, Azlarov T., Formanov Shakir Kasimovich, and V.I. Romanovskiĭ nomidagi matematika instituti., eds. Asimptoticheskie zadachi teorii veroi͡a︡tnosteĭ i matematicheskoĭ statistiki. Tashkent: Izd-vo "Fan" Uzbekskoĭ SSR, 1990.

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14

Chen, Xia. Limit theorems for functionals of ergodic Markov chains with general state space. Providence, R.I: American Mathematical Society, 1999.

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15

N, Bhattacharya R. Normal approximation and asymptotic expansions. Malabar, Fla: R.E. Krieger, 1986.

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16

Paulauskas, V. Approximation Theory in the Central Limit Theorem: Exact Results in Banach Spaces. Dordrecht: Springer Netherlands, 1989.

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17

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1993.

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18

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 2000.

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19

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1996.

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20

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas: Volume E. Genk, Belgium: Homeo-Study, 1994.

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21

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1995.

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22

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1996.

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23

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1991.

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24

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1992.

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25

Ghegas, Vassilis. The classical homoeopathic lectures of Dr. med. Vassilis Ghegas. Genk, Belgium: Homeo-Study, 1992.

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26

R. W. van der Hofstad. One-dimensional random polymers. Amsterdam, The Netherlands: CWI, 1998.

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27

Bucchianico, Alessandro Di. Probabilistic and analytical aspects of the umbral calculus. [Amsterdam, Netherlands]: Centrum voor Wiskunde en Informatica, 1997.

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28

Reich, Jonathan M. Sampling distributions and large samples. Princeton, NJ: Films for the Humanities & Sciences, 2005.

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29

Avram, Florin. On central limit theorems in geometrical probability. Cambridge, Mass: Alfred P. Sloan School of Management, Massachusetts Institute of Technology, 1991.

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30

Consortium for Mathematics and Its Applications (U.S.), Chedd-Angier Production Company, American Statistical Association, and Annenberg Media, eds. Against all odds--inside statistics: Disc 3, programs 9-12. S. Burlington, VT: Annenberg Media, 2011.

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31

Davidson, James E. H. Central limit theorems for nonstationary mixing processes and near-epoch dependent functions. London: London School of Economics and Political Science, Suntory Toyota International Centre for Economics and Related Disciplines, 1990.

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32

Pawar, Akhilesh. Probability And Statistics. New Delhi, India: Campus Books International, 2011.

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33

Lamperti, J. Probability: A survey of the mathematical theory. 2nd ed. New York: Wiley, 1996.

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34

Bensoussan, Alain. Asymptotic analysis for periodic structures. Providence, R.I: American Mathematical Society, 2011.

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35

Shapiro, Harold N. Note on the Central Limit Theorem. Creative Media Partners, LLC, 2015.

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36

Information Theory and the Central Limit Theorem. World Scientific Publishing Co Pte Ltd, 2004.

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37

Information Theory And The Central Limit Theorem. Imperial College Press, 2004.

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38

Kim, Tae-sung. Central limit theorems for associated random fields with applications. 1985.

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39

Bohr-Jessen Limit Theorem, Revisited. Tokyo, Japan: Mathematical Society of Japan, 2014.

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40

The life and times of the central limit theorem. 2nd ed. Providence, R.I: American Mathematical Society, 2009.

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41

Uniform Central Limit Theorems Cambridge Studies in Advanced Mathematics. Cambridge University Press, 2014.

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42

Fischer, Hans. History of the Central Limit Theorem: From Classical to Modern Probability Theory. Springer, 2010.

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43

Paulauskas, V., and A. Rackauskas. Approximation Theory in the Central Limit Theorem: Exact Results in Banach Spaces. Springer, 2012.

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44

Fischer, Hans. A History of the Central Limit Theorem: From Classical to Modern Probability Theory. Springer, 2012.

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45

Fischer, Hans. A History of the Central Limit Theorem: From Classical to Modern Probability Theory. Springer, 2010.

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46

A history of the central limit theorem: From classical to modern probability theory. New York: Springer, 2011.

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47

Treasures Inside the Bell: Hidden Order in Chance (With CD-ROM). World Scientific Publishing Company, 2003.

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48

Meerschaert, Mark M., and Hans-Peter Scheffler. Limit Distributions for Sums of Independent Random Vectors: Heavy Tails in Theory and Practice (Wiley Series in Probability and Statistics). Wiley-Interscience, 2001.

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49

Davidson, James. Stochastic Limit Theory. 2nd ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192844507.001.0001.

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This book aims to introduce modern asymptotic theory to students and practitioners of econometrics. It falls broadly into two parts. The first provides a handbook and reference for the underlying mathematics (Part I, Chapters 1–6), statistical theory (Part II, Chapters 7–11), and stochastic process theory (Part III, Chapters 12–18). The second half provides a treatment of the main convergence theorems used in analysing the large sample behaviour of econometric estimators and tests. These are the law of large numbers (Part IV, Chapters 19–22), the central limit theorem (Part V, Chapters 23–26), and the functional central limit theorem (Part VI, Chapters 27–32). The focus in this treatment is on the nonparametric approach to time series properties, covering topics such as nonstationarity, mixing, martingales, and near‐epoch dependence. While the approach is not elementary, care is taken to keep the treatment self‐contained. Proofs are provided for almost all the results.
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50

Jacod, Jean, and Philip Protter. Discretization of Processes. Springer, 2011.

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