PARAMETER ESTIMATION OF TERM STRUCTURES MODELED BY STOCHASTIC HYPERBOLIC SYSTEMS

被引:0
作者
Aihara, Shin Ichi [1 ]
Bagchi, Arunabha [2 ,3 ]
机构
[1] Tokyo Univ Sci, Nagano, Japan
[2] Univ Twente, FELab, NL-7500 AE Enschede, Netherlands
[3] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands
来源
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2010年 / 6卷 / 01期
关键词
Interest rate models; Term structure; Forward curves; Stochastic hyperbolic equation; Kalman filter; MLE; IDENTIFICATION; DYNAMICS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We consider a slight perturbation of the Hull-White short rate model and result in modified forward rate equation as studied in [4]. We develop the general framework-of the Kalman filter for the stochastic hyperbolic system for the factor process of bonds. The noise covariance parameters included in the systems are estimated by calculating the quadratic variation of observation data. The market price of risk parameters are then identified with the aid of the maximum likelihood method.
引用
收藏
页码:171 / 181
页数:11
相关论文
共 50 条
  • [21] Particle filtering based parameter estimation for systems with output-error type model structures
    Ding, Jie
    Chen, Jiazhong
    Lin, Jinxing
    Wan, Lijuan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (10): : 5521 - 5540
  • [22] Adaptive Parameter Estimation in LTI Systems
    Kapetina, Mirna N.
    Rapaic, Milan R.
    Pisano, Alessandro
    Jelicic, Zoran D.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (10) : 4188 - 4195
  • [23] Optimal location of measurements for parameter estimation of distributed parameter systems
    Alana, Jorge E.
    Theodoropoulos, Constantinos
    COMPUTERS & CHEMICAL ENGINEERING, 2011, 35 (01) : 106 - 120
  • [24] Recursive parameter estimation for the on-line monitoring of delamination growth in composite structures
    Cumbo, Roberta
    De Gregoriis, Daniel
    Danzi, Federico
    Kumar, Abhishek
    Naets, Frank
    STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL, 2024,
  • [25] Filtering and parameter estimation for a jump stochastic process with discrete observations
    Makhnin, Oleg V.
    ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2008, 13 : 210 - 224
  • [26] Bayesian parameter estimation for stochastic models of biological cell migration
    Dieterich, Peter
    Preuss, Roland
    BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING, 2013, 1553 : 16 - 22
  • [27] Parameter estimation in a simple stochastic differential equation for phytoplankton modelling
    Moller, Jan Kloppenborg
    Madsen, Henrik
    Carstensen, Jacob
    ECOLOGICAL MODELLING, 2011, 222 (11) : 1793 - 1799
  • [28] Fast Bayesian parameter estimation for stochastic logistic growth models
    Heydari, Jonathan
    Lawless, Conor
    Lydall, David A.
    Wilkinson, Darren J.
    BIOSYSTEMS, 2014, 122 : 55 - 72
  • [29] Parameter estimation and treatment optimization in a stochastic model for immunotherapy of cancer
    Diabate, Modibo
    Coquille, Loren
    Samson, Adeline
    JOURNAL OF THEORETICAL BIOLOGY, 2020, 502
  • [30] Parameter Estimation of a Partially Observed Hypoelliptic Stochastic Linear System
    Avido, Nilton O. B.
    Milheiro-Oliveira, Paula
    MATHEMATICS, 2025, 13 (03)