Andersen, Per Kragh, Ornulf Borgan, Richard D. Gill, and Niels Keiding. 1997. Statistical models based on counting processes. Corr. 2. print. Springer series in statistics. New York, NY: Springer.
Athreya, K. B., and Niels Keiding. 1977.
“Estimation Theory for Continuous-Time Branching Processes.” Sankhyā: The Indian Journal of Statistics, Series A (1961-2002) 39 (2): 101–23.
Athreya, Krishna B, and S. N Lahiri. 2006.
Measure theory and probability theory. New York: Springer.
Bacry, E., S. Delattre, M. Hoffmann, and J. F. Muzy. 2013.
“Some Limit Theorems for Hawkes Processes and Application to Financial Statistics.” Stochastic Processes and Their Applications, A Special Issue on the Occasion of the 2013 International Year of Statistics, 123 (7): 2475–99.
Barbour, A. D., and Louis H. Y. Chen, eds. 2005.
An Introduction to Stein’s Method. Vol. 4. Lecture Notes Series / Institute for Mathematical Sciences, National University of Singapore, v. 4. Singapore : Hackensack, N.J: Singapore University Press ; World Scientific.
Barndorff-Nielsen, O. E., and M. Sørensen. 1994.
“A Review of Some Aspects of Asymptotic Likelihood Theory for Stochastic Processes.” International Statistical Review / Revue Internationale de Statistique 62 (1): 133–65.
Barrio, Eustasio del, Paul Deheuvels, and Sara van de Geer. 2006. Lectures on Empirical Processes: Theory and Statistical Applications. European Mathematical Society.
Barron, Andrew R. 1986.
“Entropy and the Central Limit Theorem.” The Annals of Probability 14 (1): -336-342.
Becker-Kern, Peter, Mark M. Meerschaert, and Hans-Peter Scheffler. 2004.
“Limit Theorems for Coupled Continuous Time Random Walks.” The Annals of Probability 32 (1): 730–56.
Bibby, Bo Martin, and Michael Sørensen. 1995.
“Martingale Estimation Functions for Discretely Observed Diffusion Processes.” Bernoulli 1 (1/2): 17–39.
Bishop, Adrian N., and Pierre Del Moral. 2016.
“On the Stability of Kalman-Bucy Diffusion Processes.” SIAM Journal on Control and Optimization 55 (6): 4015–47.
Bréhier, Charles-Edouard, Ludovic Goudenège, and Loïc Tudela. 2016.
“Central Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized Setting.” In
Monte Carlo and Quasi-Monte Carlo Methods, edited by Ronald Cools and Dirk Nuyens, 163:245–60. Springer Proceedings in Mathematics & Statistics. Cham: Springer International Publishing.
Cantoni, Eva, and Elvezio Ronchetti. 2001.
“Robust Inference for Generalized Linear Models.” Journal of the American Statistical Association 96 (455): 1022–30.
Cérou, Frédéric, F. Le Gland, François, P. Del Moral, and P. Lezaud. 2005.
“Limit Theorems for the Multilevel Splitting Algorithm in the Simulation of Rare Events.” In
Proceedings of the Winter Simulation Conference, 2005.Claeskens, Gerda, Tatyana Krivobokova, and Jean D. Opsomer. 2009.
“Asymptotic Properties of Penalized Spline Estimators.” Biometrika 96 (3): 529–44.
DasGupta, Anirban. 2008.
Asymptotic Theory of Statistics and Probability. Springer Texts in Statistics. New York: Springer New York.
Del Moral, Pierre. 2004. Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications. 2004 edition. Latheronwheel, Caithness: Springer.
Del Moral, Pierre, and Arnaud Doucet. 2009. “Particle Methods: An Introduction with Applications.” INRIA.
Del Moral, Pierre, Peng Hu, and Liming Wu. 2011.
On the Concentration Properties of Interacting Particle Processes. Vol. 3. Now Publishers.
Del Moral, P., A. Kurtzmann, and J. Tugaut. 2017.
“On the Stability and the Uniform Propagation of Chaos of a Class of Extended Ensemble Kalman-Bucy Filters.” SIAM Journal on Control and Optimization 55 (1): 119–55.
Duembgen, Moritz, and Mark Podolskij. 2015.
“High-Frequency Asymptotics for Path-Dependent Functionals of Itô Semimartingales.” Stochastic Processes and Their Applications 125 (4): 1195–1217.
Feigin, Paul David. 1976.
“Maximum Likelihood Estimation for Continuous-Time Stochastic Processes.” Advances in Applied Probability 8 (4): 712–36.
Feller, William. 1951.
“The Asymptotic Distribution of the Range of Sums of Independent Random Variables.” The Annals of Mathematical Statistics 22 (3): -427-432.
Fernholz, Luisa Turrin. 1983. von Mises calculus for statistical functionals. Lecture Notes in Statistics 19. New York: Springer.
Gine, Evarist, and Joel Zinn. 1990.
“Bootstrapping General Empirical Measures.” Annals of Probability 18 (2): 851–69.
Giraitis, L, and D Surgailis. 1999. “Central Limit Theorem for the Empirical Process of a Linear Sequence with Long Memory.” Journal of Statistical Planning and Inference 80 (1-2): 81–93.
Gribonval, Rémi, Gilles Blanchard, Nicolas Keriven, and Yann Traonmilin. 2017.
“Compressive Statistical Learning with Random Feature Moments.” arXiv:1706.07180 [Cs, Math, Stat], June.
Hájek, Jaroslav. 1970.
“A Characterization of Limiting Distributions of Regular Estimates.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 14 (4): 323–30.
———. 1972.
“Local Asymptotic Minimax and Admissibility in Estimation.” In. The Regents of the University of California.
Heyde, C. C., and E. Seneta. 2010.
“Estimation Theory for Growth and Immigration Rates in a Multiplicative Process.” In
Selected Works of C.C. Heyde, edited by Ross Maller, Ishwar Basawa, Peter Hall, and Eugene Seneta, 214–35. Selected Works in Probability and Statistics. Springer New York.
Huber, Peter J. 1964.
“Robust Estimation of a Location Parameter.” The Annals of Mathematical Statistics 35 (1): 73–101.
Jacob, Pierre E., John O’Leary, and Yves F. Atchadé. 2019.
“Unbiased Markov Chain Monte Carlo with Couplings.” arXiv:1708.03625 [Stat], July.
Jacod, Jean, Mark Podolskij, and Mathias Vetter. 2010.
“Limit Theorems for Moving Averages of Discretized Processes Plus Noise.” The Annals of Statistics 38 (3): 1478–1545.
Jacod, Jean, and Albert N. Shiryaev. 1987a.
Limit Theorems for Stochastic Processes. Vol. 288. Grundlehren Der Mathematischen Wissenschaften. Berlin, Heidelberg: Springer Berlin Heidelberg.
———. 1987b.
“The General Theory of Stochastic Processes, Semimartingales and Stochastic Integrals.” In
Limit Theorems for Stochastic Processes, edited by Jean Jacod and Albert N. Shiryaev, 1–63. Grundlehren Der Mathematischen Wissenschaften. Berlin, Heidelberg: Springer Berlin Heidelberg.
Janková, Jana, and Sara van de Geer. 2016.
“Confidence Regions for High-Dimensional Generalized Linear Models Under Sparsity.” arXiv:1610.01353 [Math, Stat], October.
Karabash, Dmytro, and Lingjiong Zhu. 2012.
“Limit Theorems for Marked Hawkes Processes with Application to a Risk Model.” arXiv:1211.4039 [Math], November.
Konishi, Sadanori, and Genshiro Kitagawa. 1996.
“Generalised Information Criteria in Model Selection.” Biometrika 83 (4): 875–90.
———. 2003.
“Asymptotic Theory for Information Criteria in Model Selection—Functional Approach.” Journal of Statistical Planning and Inference, C.R. Rao 80th Birthday Felicitation Volume, Part IV, 114 (1–2): 45–61.
Le Gland, François, Valerie Monbet, and Vu-Duc Tran. 2009.
“Large Sample Asymptotics for the Ensemble Kalman Filter,” 25.
———. 1972.
“Limits of Experiments.” In. The Regents of the University of California.
Lederer, Johannes, and Sara van de Geer. 2014.
“New Concentration Inequalities for Suprema of Empirical Processes.” Bernoulli 20 (4): 2020–38.
Maronna, Ricardo Antonio. 1976.
“Robust M-Estimators of Multivariate Location and Scatter.” The Annals of Statistics 4 (1): 51–67.
Ogata, Yoshiko. 1978.
“The Asymptotic Behaviour of Maximum Likelihood Estimators for Stationary Point Processes.” Annals of the Institute of Statistical Mathematics 30 (1): 243–61.
Pollard, David. 1990. Empirical Processes: Theory and Applications. IMS.
Puri, Madan L., and Pham D. Tuan. 1986.
“Maximum Likelihood Estimation for Stationary Point Processes.” Proceedings of the National Academy of Sciences of the United States of America 83 (3): 541–45.
Raginsky, Maxim, and Igal Sason. 2014. Concentration of Measure Inequalities in Information Theory, Communications, and Coding: Second Edition. Now Publishers.
Ross, Nathan. 2011.
“Fundamentals of Stein’s Method.” Probability Surveys 8 (0): 210–93.
Scornet, Erwan. 2014.
“On the Asymptotics of Random Forests.” arXiv:1409.2090 [Math, Stat], September.
Shiga, Tokuzo, and Hiroshi Tanaka. 1985.
“Central Limit Theorem for a System of Markovian Particles with Mean Field Interactions.” Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete 69 (3): 439–59.
Sørensen, Michael. 2000.
“Prediction-Based Estimating Functions.” The Econometrics Journal 3 (2): 123–47.
Vaart, Aad W. van der. 2007. Asymptotic statistics. 1. paperback ed., 8. printing. Cambridge series in statistical and probabilistic mathematics. Cambridge: Cambridge Univ. Press.
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