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 mem...
Open access
Research Article10.9734/ARJOM/2017/35933
We introduce a “structure” of epic proportions – golden pyramid whose sacred geometry is “Fibonacci squared”. In terms of mathematical beauty, the golden pyramid will perhaps be found to be comparable to Pascal triangle.
Open access
Research Article10.9734/ARJOM/2017/29964
Aims: Practical employment of epidemic models for rotavirus diarrhea is the aim of the study so that prevention is attained more swiftly thus reducing global disease burdens, mortality rates and financial burdens due to treatment. Study Design: The design of this study is purely...
Open access
Research Article10.9734/ARJOM/2017/36188
Brahmagupta introduced zero into the genus of real numbers and discussed operations involving it. Of these the operation of division by zero has caused a lot of disputes among mathematicians. The ultimate aim of this work is to clarify and justify Bhaskara’s arithmetic operation...
Open access
Research Article10.9734/ARJOM/2017/36240
The symmetric genus of a finite group G is defined as the smallest genus s of a compact connected oriented surface on which G acts faithfully via diffeomorphisms, which may be orientation-preserving or orientation-reserving. In this paper we determine a useful lower bound for the...
Open access
Research Article10.9734/ARJOM/2017/36239
There are 19 densities involved in the hierarchical Bayes model with two conditional levels, in which the 3 densities, that is, the likelihood function, the rst level prior density, and the second level prior density, are known densities. We have written the 16 unknown densities...
Open access
Research Article10.9734/ARJOM/2017/35481
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-dimensional ordinary differential equation modelling the transmission...
Open access
Research Article10.9734/ARJOM/2017/33764
This paper discusses the trend and pattern of money circulation in Nigeria. Its relevance lies in the fact that it could assist in monitoring the level of money circulation in the economy. Data on monthly records of money in circulation obtained from the central bank of Nigeria w...
Open access
Research Article10.9734/ARJOM/2017/35555
In this article, an analytical technique is provided to solve partial differential equations with variable coefficients. This technique is a combination of the integral transform known as Ramadan group integral transform with the reduced differential transform. The method can eas...
Open access
Research Article10.9734/ARJOM/2017/35746
In this work, we consider that an investor’s portfolio comprises of two assets- a risk-free asset driven by Ornstein-Uhlenbeck Stochastic interest rate of return model and the second asset a risky stock with a price process governed by the geometric Brownian motion. It is also co...
Open access
Research Article10.9734/ARJOM/2017/35737