A basic result on the integral for birth-death Markov processes.

@article{citeulike:996840, abstract = {In this paper a regenerative argument is used to derive an expression for the expectation of the integral under the stochastic path of a birth-death Markov process up to extinction time as well as for the expected time to extinction. Some applications to classical-birth-death processes are given.}, address = {CGIC-Universidad de Colima, Mexico. cmh2@cgic.ucol.mx}, author = {Hern\'{a}ndez-Su\'{a}rez, C. M. and Castillo-Chavez, C. }, citeulike-article-id = {996840}, issn = {0025-5564}, journal = {Math Biosci}, keywords = {birth, death, mathematics, stochastic, sub-bioinformatics}, month = {October}, number = {1-2}, pages = {95--104}, posted-at = {2006-12-15 10:26:03}, priority = {5}, title = {A basic result on the integral for birth-death Markov processes.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/10546443}, volume = {161}, year = {1999} }

TY - JOUR ID - citeulike:996840 L3 - citeulike-article-id:996840 TI - A basic result on the integral for birth-death Markov processes. JF - Math Biosci VL - 161 IS - 1-2 SP - 95 EP - 104 AD - CGIC-Universidad de Colima, Mexico. cmh2@cgic.ucol.mx SN - 0025-5564 N2 - In this paper a regenerative argument is used to derive an expression for the expectation of the integral under the stochastic path of a birth-death Markov process up to extinction time as well as for the expected time to extinction. Some applications to classical-birth-death processes are given. KW - birth KW - death KW - mathematics KW - stochastic KW - sub-bioinformatics AU - Hernández-Suárez, CM AU - Castillo-Chavez, C PY - 1999/10// UR - http://view.ncbi.nlm.nih.gov/pubmed/10546443 ER -