The Edgeworth expansion plays important role in approximating the distribution function, specially the tail probabilities of a complicated statistic. For example, sometimes, the test statistic, in hand, is too complicated and deriving its quantiles is too hard. However, these qua...
Open access
Research Article10.9734/ARJOM/2016/27313
Allocations and job scheduling are mainly solved with the help of Assignment Problems. By choosing the best element from set of available alternative elements the optimization processes in mathematics, computer science and economics are solved effectively. The key idea of best ca...
Open access
Research Article10.9734/ARJOM/2016/27952
This paper presents a new approach for solving a class of linear quadratic fractional optimal control problems (FOCPs). The necessary optimality conditions for this problem are achieved in terms of two-point boundary value problem(TPBVP). In this way, an approximate approach is c...
Open access
Research Article10.9734/ARJOM/2016/27606
Pairs trading are standard approaches for statistical arbitrage detection. The logic behind pair trading approach is to construct a portfolio of two financial assets with special weights where this portfolio has zero value in time zero and creates positive value with a high proba...
Open access
Research Article10.9734/ARJOM/2016/27315
In this note, an asymmetric coin game is studied. The winning scheme of Skeptic is given. Also, the mixed strategy and arbitrage opportunity are considered.
Open access
Research Article10.9734/ARJOM/2016/27312
For all natural number n we deduce binomial convolution sums formulae composed with Fibonacci numbers and Lucas numbers. Moreover we obtain those of similar convolution sums without a binomial symbol.
Open access
Research Article10.9734/ARJOM/2016/27580
A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional subspace.
Open access
Research Article10.9734/ARJOM/2016/26927
A formula expressing an in nite product as an infinite sum is called a product-to-sum identity. In this paper we try to consider a special product-to-sum as and so for integers r, u, a, b, c, x, y and z we deduce all solutions of (r, u, a, b, c, x, y, z) with r ≥ 0.
Open access
Research Article10.9734/ARJOM/2016/26832
Our goal here is to discuss the pricing problem of European and American options in discrete time using elementary calculus so as to be an easy reference for first year undergraduate students. Using the binomial model we compute the fair price of European and American options. We...
Open access
Research Article10.9734/ARJOM/2016/26251