Research output: Contribution to journal › Article › peer-review
On the simultaneous estimation of delay model parameters in economic dynamics. / Prasolov, Alexander V.
In: Physica A: Statistical Mechanics and its Applications, Vol. 509, 01.11.2018, p. 1102-1109.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On the simultaneous estimation of delay model parameters in economic dynamics
AU - Prasolov, Alexander V.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - Mathematical models in the form of differential equations with a time lag have been widely used in economics, biology, engineering and medicine to model dynamical interactions. In this paper, a heuristic estimation algorithm of delay values is offered in discrete deterministic systems by minimizing the average quadratic deviation for parameter identification. A well-known “predator–prey” model falls within the solution set we offer and is widely used in economics. Obviously, real data requires the analysis of random measurement innovations be taken into account; however, this aspect is not considered for the sake of convenience.
AB - Mathematical models in the form of differential equations with a time lag have been widely used in economics, biology, engineering and medicine to model dynamical interactions. In this paper, a heuristic estimation algorithm of delay values is offered in discrete deterministic systems by minimizing the average quadratic deviation for parameter identification. A well-known “predator–prey” model falls within the solution set we offer and is widely used in economics. Obviously, real data requires the analysis of random measurement innovations be taken into account; however, this aspect is not considered for the sake of convenience.
KW - Identification
KW - Mathematical models
KW - Time lag
KW - “Predator–prey” model
KW - SELECTION
KW - "Predator-prey" model
UR - http://www.scopus.com/inward/record.url?scp=85049313220&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2018.06.104
DO - 10.1016/j.physa.2018.06.104
M3 - Article
AN - SCOPUS:85049313220
VL - 509
SP - 1102
EP - 1109
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
ER -
ID: 33791024