Functional Estimation of the Random Rate of a Cox Process Rodríguez Bouzas, Paula Aguilera Del Pino, Ana María Ruiz-Fuentes, Nuria Cox process Monotone piecewise cubic interpolation Functional principal component analysis Functional data analysis 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. 2022-02-23T12:40:23Z 2022-02-23T12:40:23Z 2010-03-25 info:eu-repo/semantics/article Bouzas, P.R., Aguilera, A.M. & Ruiz-Fuentes, N. Functional Estimation of the Random Rate of a Cox Process. Methodol Comput Appl Probab 14, 57–69 (2012). https://doi.org/10.1007/s11009-010-9173-z http://hdl.handle.net/10481/72977 https://doi.org/10.1007/s11009-010-9173-z eng http://creativecommons.org/licenses/by-nd/3.0/es/ info:eu-repo/semantics/embargoedAccess Atribución-SinDerivadas 3.0 España Springer