caa a22 4500 605519803 CHVBK 20210128100732.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s11009-014-9410-y doi (NATIONALLICENCE)springer-10.1007/s11009-014-9410-y Exploring the State of a Stochastic System via Stochastic Simulations: An Interesting Inversion Problem and the Health State Function [Elektronische Daten] [Christos Skiadas, Charilaos Skiadas] Weexplore a method for finding the State H(t) of a Stochastic System when the first exit time or hitting time probability density function g(t) is given. The task is to find an analytic form for the state H(t) of the system thus providing a very flexible tool important in many scientific fields. The finding of this analytic form was done with the cost of an error function f(t) which we estimate in this paper by using stochastic simulations starting from the simpler linear case for H(t), then with the quadratic and higher order functions. Finally, an application to the mortality data for females in USA the year 2000 is made. We thus estimate the state of the population system or the health state of the population. Springer Science+Business Media New York, 2014 Stochastic modeling nationallicence First exit time probability density function nationallicence Hitting time model nationallicence Health State Function nationallicence Inverse Gaussian nationallicence Life Table Data nationallicence Skiadas Christos ManLab, Technical University of Crete, Chania, Crete, Greece aut Skiadas Charilaos Department of Mathematics and Computer Science, Hanover College, Indiana, USA aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/4(2015-12-01), 973-982 1387-5841 17:4<973 2015 17 11009 https://doi.org/10.1007/s11009-014-9410-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-014-9410-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Skiadas Christos ManLab, Technical University of Crete, Chania, Crete, Greece aut NATIONALLICENCE 700 1- Skiadas Charilaos Department of Mathematics and Computer Science, Hanover College, Indiana, USA aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/4(2015-12-01), 973-982 1387-5841 17:4<973 2015 17 11009