TY - JOUR
T1 - Robust Statistic Estimation in Constrained Optimal Control Problems of Pollution Accumulation (Part II: Markovian Switchings)
AU - Escobedo-Trujillo, Beatris Adriana
AU - López-Barrientos, José Daniel
AU - Higuera-Chan, Carmen Geraldi
AU - Alaffita-Hernández, Francisco Alejandro
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/2/1
Y1 - 2023/2/1
N2 - This piece is a follow-up of the research started by the authors on the constrained optimal control problem applied to pollution accumulation. We consider a dynamic system governed by a diffusion process with multiple modes that depends on an unknown parameter. We will study the components of the model and their restrictions and propose a scheme to solve the problem in which it is possible to determine (adaptive) policies that maximize a suitable discounted reward criterion using standard dynamic programming techniques in combination with discrete estimation methods for the unknown parameter. Finally, we develop a numerical example to illustrate our results with a particular case of the method of minimum least square error approximation.
AB - This piece is a follow-up of the research started by the authors on the constrained optimal control problem applied to pollution accumulation. We consider a dynamic system governed by a diffusion process with multiple modes that depends on an unknown parameter. We will study the components of the model and their restrictions and propose a scheme to solve the problem in which it is possible to determine (adaptive) policies that maximize a suitable discounted reward criterion using standard dynamic programming techniques in combination with discrete estimation methods for the unknown parameter. Finally, we develop a numerical example to illustrate our results with a particular case of the method of minimum least square error approximation.
KW - consistent estimators
KW - discounted cost
KW - least square errors
KW - maximum likelihood estimators
KW - multiple Markovian modes
UR - http://www.scopus.com/inward/record.url?scp=85148949377&partnerID=8YFLogxK
U2 - 10.3390/math11041045
DO - 10.3390/math11041045
M3 - Artículo
AN - SCOPUS:85148949377
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 4
M1 - 1045
ER -