@misc{10481/73003, year = {2006}, month = {6}, url = {http://hdl.handle.net/10481/73003}, abstract = {A new procedure for estimating the mean process of a doubly stochastic Poisson process is introduced. The proposed estimation is based on monotone piecewise cubic interpolation of the sample paths of the mean. In order to estimate the continuous time structure of the mean process functional principal component analysis is applied to its trajectories previously adapted to their functional form. A validation of the estimation method is presented by means of some simulations.}, organization = {Projects MTM2004-05992 of Dirección General de Investigación, and MTM2004-04230 of Plan Nacional de I+D+I, Ministerio de Ciencia y Tecnología jointly by the FEDER}, publisher = {Elsevier}, keywords = {Doubly stochastic Poisson process}, keywords = {Monotone piecewise cubic interpolation}, keywords = {Functional principal component analysis}, keywords = {Functional data analysis}, title = {Modelling the mean of a doubly stochastic Poisson process by functional data analysis}, doi = {https://doi.org/10.1016/j.csda.2005.04.015}, author = {Rodríguez Bouzas, Paula and Valderrama Bonnet, Mariano José and Aguilera Del Pino, Ana María and Ruiz-Fuentes, Nuria}, }