Linear and least-squares estimation of point processes

Berman-turner device. K-function. πŸ—


Aalen, Odd O. 1978. β€œNonparametric Inference for a Family of Counting Processes.” The Annals of Statistics 6 (4): 701–26.
Aalen, Odd O. 1989. β€œA Linear Regression Model for the Analysis of Life Times.” Statistics in Medicine 8 (8): 907–25.
Adams, Ryan Prescott, Iain Murray, and David J. C. MacKay. 2009. β€œTractable Nonparametric Bayesian Inference in Poisson Processes with Gaussian Process Intensities.” In, 1–8. ACM Press.
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.
Baddeley, Adrian, and Rolf Turner. 2000. β€œPractical Maximum Pseudolikelihood for Spatial Point Patterns.” Australian & New Zealand Journal of Statistics 42 (3): 283–322.
Barbieri, Riccardo, Michael C Quirk, Loren M Frank, Matthew A Wilson, and Emery N Brown. 2001. β€œConstruction and Analysis of Non-Poisson Stimulus-Response Models of Neural Spiking Activity.” Journal of Neuroscience Methods 105 (1): 25–37.
Barron, A. R., and T. M. Cover. 1991. β€œMinimum Complexity Density Estimation.” IEEE Transactions on Information Theory 37 (4): 1034–54.
Benichoux, Alexis, Emmanuel Vincent, and RΓ©mi Gribonval. 2013. β€œA Fundamental Pitfall in Blind Deconvolution with Sparse and Shift-Invariant Priors.” In ICASSP-38th International Conference on Acoustics, Speech, and Signal Processing-2013.
Berman, Mark, and T. Rolf Turner. 1992. β€œApproximating Point Process Likelihoods with GLIM.” Journal of the Royal Statistical Society. Series C (Applied Statistics) 41 (1): 31–38.
Besag, Julian. 1977. β€œEfficiency of Pseudolikelihood Estimation for Simple Gaussian Fields.” Biometrika 64 (3): 616–18.
BrΓ©maud, Pierre, Laurent MassouliΓ©, and Andrea Ridolfi. 2005. β€œPower Spectra of Random Spike Fields and Related Processes.” Advances in Applied Probability 37 (4): 1116–46.
Buckley, M. J., G. K. Eagleson, and B. W. Silverman. 1988. β€œThe Estimation of Residual Variance in Nonparametric Regression.” Biometrika 75 (2): 189–99.
Chaudhuri, Probal. 1991. β€œNonparametric Estimates of Regression Quantiles and Their Local Bahadur Representation.” The Annals of Statistics 19 (2): 760–77.
Cox, Dennis D., and Finbarr O’Sullivan. 1990. β€œAsymptotic Analysis of Penalized Likelihood and Related Estimators.” The Annals of Statistics 18 (4): 1676–95.
Cucala, Lionel. 2008. β€œIntensity Estimation for Spatial Point Processes Observed with Noise.” Scandinavian Journal of Statistics 35 (2): 322–34.
Diaconis, Persi, and David Freedman. 1984. β€œAsymptotics of Graphical Projection Pursuit.” The Annals of Statistics 12 (3): 793–815.
Diggle, Peter J. 1979. β€œOn Parameter Estimation and Goodness-of-Fit Testing for Spatial Point Patterns.” Biometrics 35 (1): 87–101.
Eden, U, L Frank, R Barbieri, V Solo, and E Brown. 2004. β€œDynamic Analysis of Neural Encoding by Point Process Adaptive Filtering.” Neural Computation 16 (5): 971–98.
Eichler, Michael, Rainer Dahlhaus, and Johannes Dueck. 2016. β€œGraphical Modeling for Multivariate Hawkes Processes with Nonparametric Link Functions.” Journal of Time Series Analysis, January, n/a–.
Ellis, Steven P. 1991. β€œDensity Estimation for Point Processes.” Stochastic Processes and Their Applications 39 (2): 345–58.
Fatalov, V. R. 2012. β€œIntegral Functionals for the Exponential of the Wiener Process and the Brownian Bridge: Exact Asymptotics and Legendre Functions.” Mathematical Notes 92 (1-2): 79–98.
GaΓ―ffas, StΓ©phane, and Agathe Guilloux. 2012. β€œHigh-Dimensional Additive Hazards Models and the Lasso.” Electronic Journal of Statistics 6: 522–46.
Geer, Sara van de, Peter BΓΌhlmann, Ya’acov Ritov, and Ruben Dezeure. 2014. β€œOn Asymptotically Optimal Confidence Regions and Tests for High-Dimensional Models.” The Annals of Statistics 42 (3): 1166–1202.
Green, Peter J. 1987. β€œPenalized Likelihood for General Semi-Parametric Regression Models.” International Statistical Review / Revue Internationale de Statistique 55 (3): 245–59.
Guan, Yongtao. 2008a. β€œVariance Estimation for Statistics Computed from Inhomogeneous Spatial Point Processes.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 70 (1): 175–90.
β€”β€”β€”. 2008b. β€œA Goodness-of-Fit Test for Inhomogeneous Spatial Poisson Processes.” Biometrika 95 (4): 831–45.
Guan, Yongtao, and Michael Sherman. 2007. β€œOn Least Squares Fitting for Stationary Spatial Point Processes.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 69 (1): 31–49.
Hansen, Niels Richard. 2010. β€œPenalized Maximum Likelihood Estimation for Generalized Linear Point Processes.” arXiv:1003.0848 [Math, Stat], March.
Hawe, S., M. Kleinsteuber, and K. Diepold. 2013. β€œAnalysis Operator Learning and Its Application to Image Reconstruction.” IEEE Transactions on Image Processing 22 (6): 2138–50.
Helmers, Roelof, and I. Wayan Mangku. 1999. β€œStatistical Estimation of Poisson Intensity Functions.” ANN. INST. STAT. MATH 51: 265–80.
Hurvich, Clifford M., Jeffrey S. Simonoff, and Chih-Ling Tsai. 1998. β€œSmoothing Parameter Selection in Nonparametric Regression Using an Improved Akaike Information Criterion.” Journal of the Royal Statistical Society. Series B (Statistical Methodology) 60 (2): 271–93.
Jensen, Jens Ledet, and Hans R. KΓΌnsch. 1994. β€œOn Asymptotic Normality of Pseudo Likelihood Estimates for Pairwise Interaction Processes.” Annals of the Institute of Statistical Mathematics 46 (3): 475–86.
Jensen, Jens Ledet, and Jesper MΓΈller. 1991. β€œPseudolikelihood for Exponential Family Models of Spatial Point Processes.” The Annals of Applied Probability 1 (3): 445–61.
Juban, JΓ©rΓ©mie, Lionel Fugon, and Georges Kariniotakis. 2007. β€œProbabilistic Short-Term Wind Power Forecasting Based on Kernel Density Estimators.” In.
Koenker, Roger, and Kevin F. Hallock. 2001. β€œQuantile Regression.” The Journal of Economic Perspectives 15 (4): 143–56.
Koenker, Roger, and JosΓ© A. F. Machado. 1999. β€œGoodness of Fit and Related Inference Processes for Quantile Regression.” Journal of the American Statistical Association 94 (448): 1296–1310.
Lieshout, Marie-Colette N. M. van. 2011. β€œOn Estimation of the Intensity Function of a Point Process.” Methodology and Computing in Applied Probability 14 (3): 567–78.
Mairal, Julien, Francis Bach, Jean Ponce, and Guillermo Sapiro. 2009. β€œOnline Dictionary Learning for Sparse Coding.” In Proceedings of the 26th Annual International Conference on Machine Learning, 689–96. ICML ’09. New York, NY, USA: ACM.
Marziliano, P., M. Vetterli, and T. Blu. 2006. β€œSampling and Exact Reconstruction of Bandlimited Signals with Additive Shot Noise.” IEEE Transactions on Information Theory 52 (5): 2230–33.
Matsumoto, Hiroyuki, and Marc Yor. 2005. β€œExponential Functionals of Brownian Motion, I: Probability Laws at Fixed Time.” Probability Surveys 2: 312–47.
Pillow, Jonathan W., Jonathon Shlens, Liam Paninski, Alexander Sher, Alan M. Litke, E. J. Chichilnisky, and Eero P. Simoncelli. 2008. β€œSpatio-Temporal Correlations and Visual Signalling in a Complete Neuronal Population.” Nature 454 (7207): 995–99.
Puri, Madan L., and Pham D. Tuan. 1986. β€œMaximum Likelihood Estimation for Stationary Point Processes.” Proceedings of the National Academy of Sciences of the United States of America 83 (3): 541–45.
Reynaud-Bouret, Patricia. 2003. β€œAdaptive Estimation of the Intensity of Inhomogeneous Poisson Processes via Concentration Inequalities.” Probability Theory and Related Fields 126 (1).
Reynaud-Bouret, Patricia, Vincent Rivoirard, Franck Grammont, and Christine Tuleau-Malot. 2014. β€œGoodness-of-Fit Tests and Nonparametric Adaptive Estimation for Spike Train Analysis.” The Journal of Mathematical Neuroscience 4 (1): 3.
Reynaud-Bouret, Patricia, and Emmanuel Roy. 2007. β€œSome Non Asymptotic Tail Estimates for Hawkes Processes.” Bulletin of the Belgian Mathematical Society - Simon Stevin 13 (5): 883–96.
Reynaud-Bouret, Patricia, and Sophie Schbath. 2010. β€œAdaptive Estimation for Hawkes Processes; Application to Genome Analysis.” The Annals of Statistics 38 (5): 2781–2822.
Riabiz, Marina, Tohid Ardeshiri, and Simon Godsill. 2016. β€œA Central Limit Theorem with Application to Inference in Ξ±-Stable Regression Models.” In, 70–82.
Schelldorfer, JΓΌrg, Lukas Meier, and Peter BΓΌhlmann. 2014. β€œGLMMLasso: An Algorithm for High-Dimensional Generalized Linear Mixed Models Using β„“1-Penalization.” Journal of Computational and Graphical Statistics 23 (2): 460–77.
Schoenberg, Frederic Paik. 2005. β€œConsistent Parametric Estimation of the Intensity of a Spatial–Temporal Point Process.” Journal of Statistical Planning and Inference 128 (1): 79–93.
Silverman, B. W. 1982. β€œOn the Estimation of a Probability Density Function by the Maximum Penalized Likelihood Method.” The Annals of Statistics 10 (3): 795–810.
Simon, Noah, Jerome Friedman, Trevor Hastie, and Rob Tibshirani. 2011. β€œRegularization Paths for Cox’s Proportional Hazards Model via Coordinate Descent.” Journal of Statistical Software 39 (5).
Simpson, Daniel, Janine Illian, Finn Lindgren, Sigrunn SΓΈrbye, and HΓ₯vard Rue. 2011. β€œGoing Off Grid: Computationally Efficient Inference for Log-Gaussian Cox Processes.” arXiv:1111.0641 [Math, Stat], November.
Smith, A, and E Brown. 2003. β€œEstimating a State-Space Model from Point Process Observations.” Neural Computation 15 (5): 965–91.
Stowell, Dan, Lisa Gill, and David Clayton. 2016. β€œDetailed Temporal Structure of Communication Networks in Groups of Songbirds.” Journal of The Royal Society Interface 13 (119): 20160296.
Thrampoulidis, Chrtistos, Ehsan Abbasi, and Babak Hassibi. 2015. β€œLASSO with Non-Linear Measurements Is Equivalent to One With Linear Measurements.” In Advances in Neural Information Processing Systems 28, edited by C. Cortes, N. D. Lawrence, D. D. Lee, M. Sugiyama, R. Garnett, and R. Garnett, 3402–10. Curran Associates, Inc.
Unser, Michael A., and Pouya Tafti. 2014. An Introduction to Sparse Stochastic Processes. New York: Cambridge University Press.
Wu, Shuang, Hans-Georg MΓΌller, and Zhen Zhang. 2013. β€œFunctional Data Analysis for Point Processes with Rare Events.” Statistica Sinica 23 (1): 1–23.
Zarezade, Ali, Utkarsh Upadhyay, Hamid R. Rabiee, and Manuel Gomez-Rodriguez. 2017. β€œRedQueen: An Online Algorithm for Smart Broadcasting in Social Networks.” In Proceedings of the Tenth ACM International Conference on Web Search and Data Mining, 51–60. WSDM ’17. New York, NY, USA: ACM Press.

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