Non-parametric estimation of the spiking rate in systems of interacting neurons-Reference-Cited by-同舟云学术

Non-parametric estimation of the spiking rate in systems of interacting neurons

Published:2016-11-17 Issue:1 Volume:21 Page:81-111
ISSN:1387-0874
Container-title:Statistical Inference for Stochastic Processes
language:en
Short-container-title:Stat Inference Stoch Process

Author:

Hodara P.,Krell N.,Löcherbach E.

Funder

Labex MMe-DII

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Link

http://link.springer.com/article/10.1007/s11203-016-9150-4/fulltext.html

Reference29 articles.

1. Azaïs R, Bardet JB, Genadot A, Krell N, Zitt P-A (2014) Piecewise deterministic Markov process (pdmps). Recent results. ESAIM: Proceedings 44:276–290

2. Azaïs R, Dufour F, Gégout-Petit A (2014) Nonparametric estimation of the conditional distribution of the inter-jumping times for piecewise-deterministic Markov processes. Scandinavian Journal of Statistics 41(4):950–969

3. Azaïs R, Muller-Gueudin A (2015) Optimal choice among a class of nonparametric estimators of the jump rate for piecewise-deterministic Markov processes. Available on arxiv:1506.07722

4. Azéma J, Duflo M, Revuz D (1969) Mesures invariantes des processus de Markov récurrents. Sém. Proba III, Lectures Notes in Math. 88, 24-33, Springer Verlag: Berlin

5. Bowman AW (1984) An alternative method of cross-validation for the smoothing of density estimates. Biometrika 71(2):353–360

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonparametric estimation of jump rates for a specific class of piecewise deterministic Markov processes;Bernoulli;2021-11-01

2. Efficient estimation methods for non-Gaussian regression models in continuous time;Annals of the Institute of Statistical Mathematics;2021-03-03

3. Long time behavior of a mean-field model of interacting neurons;Stochastic Processes and their Applications;2020-05

4. Modified Log-Sobolev Inequality for a Compact Pure Jump Markov Process with Degenerate Jumps;Journal of Statistical Physics;2020-02-13

5. Convergence to Equilibrium for Time-Inhomogeneous Jump Diffusions with State-Dependent Jump Intensity;Journal of Theoretical Probability;2019-09-30