@misc{10481/72977, year = {2010}, month = {3}, url = {http://hdl.handle.net/10481/72977}, abstract = {The intensity of a doubly stochastic Poisson process (DSPP) is also a stochastic process whose integral is the mean process of the DSPP. From a set of sample paths of the Cox process we propose a numerical method, preserving the monotone character of the mean, to estimate the intensity on the basis of the functional PCA. A validation of the estimation method is presented by means of a simulation as well as a comparison with an alternative estimation method.}, organization = {Projects MTM2007-63793 of Dirección General de Investigación, Ministerio de Ciencia, P06-FQM-01470 from Consejería de Innovación, Ciencia y Empresa de la Junta de Andalucía and MTM2007-66791 of Plan Nacional I+D, Ministerio de Ciencia y Tecnología jointly by the FEDER and grant FQM-307 of Conserjería de Innovación de la Junta de Andalucía, all of them in Spain}, publisher = {Springer}, keywords = {Cox process}, keywords = {Monotone piecewise cubic interpolation}, keywords = {Functional principal component analysis}, keywords = {Functional data analysis}, title = {Functional Estimation of the Random Rate of a Cox Process}, doi = {https://doi.org/10.1007/s11009-010-9173-z}, author = {Rodríguez Bouzas, Paula and Aguilera Del Pino, Ana María and Ruiz-Fuentes, Nuria}, }