The maximum likelihood estimator does not always maximize the expected log-likelihood when estimating the exponential distribution using a small data set. The maximum likelihood estimator should be multiplied by a positive constant that only depends on the amount of data.
Open access
Research Article10.9734/BJMCS/2015/13658
This paper presents stochastic volatility in the valuation of European options. Stochastic volatility models treat the volatility of the underlying asset as a random process rather than the constant volatility assumption of the Black-Scholes model. By changing the model parameter...
Open access
Research Article10.9734/BJMCS/2015/13176
This paper introduces a new probability distribution referred to as a transformed triangular distribution (TTD) by using the average of the extreme values (minimum and maximum) of the triangular distribution. The TTD is being approximated by the continuous uniform distribution. T...
Open access
Research Article10.9734/BJMCS/2014/12299
The development of any conjugate gradient method could be viewed from the perspective of approximating an objective function by a functional noting that the properties of the functional can be used to characterize the method. Using the functional , the new conjugate gradient meth...
Open access
Research Article10.9734/BJMCS/2014/13361
In the paper [1], Pusz and Woronowicz first gave the geometric mean of two positive definite matrices. This mean has similar properties to those of the geometric mean of two positive numbers. In [2], Ando, Li and Mathias listed ten properties that a geometric mean of m positive d...
Open access
Research Article10.9734/BJMCS/2015/13026
This paper discusses a design problem of a variable gain robust controller with guaranteed gain performance for a class of uncertain switched linear systems. The uncertainties included in the switched linear system under consideration are supposed to satisfy the matching conditi...
Open access
Research Article10.9734/BJMCS/2015/12382
Let X be a Banach space, and E ⊂ X be a non-empty closed bounded subset of X. The set E is called proximinal in X if for all x ∈ X there is some e ∈ E such that Çx - eÇ = inf{Çx - yÇ : y ∈ E}. E is called remotal in X if for all x ∈ X, there exists e ∈ E such that Çx - eÇ =...
Open access
Research Article10.9734/BJMCS/2015/13412
A hybrid of the new Conjugate gradient method and Galerkin theory has been used to find the maximum deflection of a beam under uniformly distributed load. Maximum deflection of a beam under a given pressure was found by solving a two-point linear, second order, boundary value pro...
Open access
Research Article10.9734/BJMCS/2015/13362
A quasi-orthogonal space time block coding (QO-STBC) scheme that exploits Hadamard matrix properties is studied and evaluated. At first, an analytical solution is derived as an extension of some earlier proposed QO-STBC scheme based on Hadamard matrices, called diagonalized Hadam...
Open access
Research Article10.9734/BJMCS/2015/12616
Even though imaging mass spectrometry (IMS) technique is evolving rapidly, its data analysis capability lags behind. Especially with the improving of IMS data resolution, faster and more accurate data analysis algorithms are required. To meet such challenges in IMS data analysis,...
Open access
Research Article10.9734/BJMCS/2015/9870