@misc{10481/73001, year = {2006}, month = {9}, url = {http://hdl.handle.net/10481/73001}, abstract = {The characteristic functional (c.fl.) of a doubly stochastic Poisson process (DSPP) is studied and it provides us the finite dimensional distributions of the process and so its moments. It is also studied the case of a DSPP which intensity is a narrow-band process. The Karhunen–Loève expansion of its intensity is used to obtain the probability distribution function and a decomposition of this Poisson process. The covariance derived from the general c.fl. is applied in this particular DSPP.}, organization = {Project MTM2004-05992 of Dirección General de Investigación, Ministerio de Ciencia y Tecnologıía}, publisher = {Elsevier}, keywords = {Doubly stochastic Poisson process}, keywords = {Characteristic functional}, keywords = {Narrow band process}, keywords = {Karhunen–Loève expansion}, title = {On the characteristic functional of a doubly stochastic Poisson process: Application to a narrow-band process}, doi = {https://doi.org/10.1016/j.apm.2005.07.005}, author = {Rodríguez Bouzas, Paula and Valderrama Bonnet, Mariano José and Aguilera Del Pino, Ana María}, }