Maximum Likelihood Estimation in Nonlinear Fractional Stochastic Volatility Model
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 6, Issue 2
Abstract
We study the strong consistency and asymptotic normality of the maximum likelihood estimator (MLE) of a drift parameter in a stochastic volatility model when both the asset price process and the stochastic volatility are driven by independent fractional Brownian motions. Long memory in volatility is a stylized fact. We compute the nonlinear filter in the MLE using Kitagawa algorithm.
Authors and Affiliations
Jaya P. N. Bishwal
Remedial Students’ Perception of Difficult Concepts in Senior High School Core Mathematics Curriculum in Ghana
This study employed the survey research design aimed at investigating perceived difficult concepts in senior secondary school core mathematics curriculum by remedial students in Ghana. The study was guided by two researc...
Nonlinear Inverse Problems for Von Karman Equations: A Neural Network Approximation
This paper considers the coefficient inverse problem for the nonlinear boundary problem of von Karman equations. The Fréchet differentiability of the inverse operator is proved and its neural network approximation is con...
Modelling Sector-wise Electricity Demand in Sri Lanka: An Application of Vector Autoregressive Model
The knowledge about the current and future electricity demands is necessary and much useful in planning and decision making for giving proper electricity supply. This study aimed to identify the pattern and to model the...
Experimental and Mathematical Model for the Antimalarial Activity of the Ethanolic Stem Extract of Azadirachta indica A. Juss in Swiss Mice Infected with Plasmodium berghei berghei NK65
In spite of the control measures, malaria remains one of most health challenges of our time and will remain a problem until the transmission agent seize to exist which is impossible. This paper presents a five-dimensiona...
Modeling the Traffic Accident Data Using a Convenient Lognormal Diffusion Process
Aims: Theories of diffusion process play an important role in safety traffic applications. The purpose of this paper is to introduce a methodology capable for fitting the yearly traffic accidents in Kuwait. More specific...