Open AccessA New Algorithm for Approximate Maximum Likelihood Estimation in Sub-fractional Chan-Karolyi-Longstaff-Sanders Model
Author(s) -
Jaya P. N. Bishwal
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v13i330311
Subject(s) - estimator , mathematics , computation , algorithm , generalization , range (aeronautics) , rate of convergence , convergence (economics) , fractional brownian motion , maximum likelihood , brownian motion , mathematical optimization , computer science , statistics , mathematical analysis , key (lock) , materials science , computer security , economics , composite material , economic growth
The paper introduces several approximate maximum likelihood estimators of the parameters of the sub-fractional Chan-Karolyi-Longstaff-Sanders (CKLS) interest rate model and obtains their rates of convergence. A new algorithm inspired by Newton-Cotes formula is presented to improve the accuracy of estimation. The estimators are useful for simulation of interest rates. The proposed new algorithm could be useful for other stochastic computation. It also proposes a generalization of the CKLS interest rate model with sub-fractional Brownian motion drivers which preserves medium range memory.