PMID- 25602768 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20150520 LR - 20150224 IS - 1530-888X (Electronic) IS - 0899-7667 (Linking) VI - 27 IP - 3 DP - 2015 Mar TI - On firing rate estimation for dependent interspike intervals. PG - 699-724 LID - 10.1162/NECO_a_00709 [doi] AB - If interspike intervals are dependent, the instantaneous firing rate does not catch important features of spike trains. In this case, the conditional instantaneous rate plays the role of the instantaneous firing rate for the case of samples of independent interspike intervals. If the conditional distribution of the interspikes intervals (ISIs) is unknown, it becomes difficult to evaluate the conditional firing rate. We propose a nonparametric estimator for the conditional instantaneous firing rate for Markov, stationary, and ergodic ISIs. An algorithm to check the reliability of the proposed estimator is introduced, and its consistency properties are proved. The method is applied to data obtained from a stochastic two-compartment model and to in vitro experimental data. FAU - Benedetto, Elisa AU - Benedetto E AD - Department of Mathematics G. Peano, University of Torino, Via Carlo Alberto 10, 10123, Turin, Italy elisa.benedetto@unito.it. FAU - Polito, Federico AU - Polito F FAU - Sacerdote, Laura AU - Sacerdote L LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20150120 PL - United States TA - Neural Comput JT - Neural computation JID - 9426182 EDAT- 2015/01/21 06:00 MHDA- 2015/01/21 06:01 CRDT- 2015/01/21 06:00 PHST- 2015/01/21 06:00 [entrez] PHST- 2015/01/21 06:00 [pubmed] PHST- 2015/01/21 06:01 [medline] AID - 10.1162/NECO_a_00709 [doi] PST - ppublish SO - Neural Comput. 2015 Mar;27(3):699-724. doi: 10.1162/NECO_a_00709. Epub 2015 Jan 20.