Abstract In this paper, we propose one new alternative formula for moment generating function of random vectors via the inverse survival function. A recursive formula for moment generating function of random vector is obtained and as application, we derive the corresponding alternative formula for mixed moment. Several examples are also presented along with the theory. [ABSTRACT FROM AUTHOR]
The problem of constructing a canonical representation for an arbitrary continuous piecewise-linear (PWL) function in any dimension is considered in this paper. We solve the problem based on a general lattice PWL representation, which can be determined for a given continuous PWL function using existing methods. We first transform the lattice PWL representation into the difference of two convex functions, then propose a constructive procedure to rewrite the latter as a canonical representation that consists of at most η-level nestings of absolute-value functions in n dimensions, hence give a thorough solution to the problem mentioned above. In addition, we point out that there exist notable differences between a lattice representation and the two novel general constructive representations proposed in this paper, and explain that these differences make all the three representations be of their particular interests. [ABSTRACT FROM AUTHOR]
Abstract: In this paper is to introduce and investigate new classes of generalizations of non-continuous functions, obtain some of their properties and to hold decompositions of strong α-irresolute in topological spaces. [Copyright &y& Elsevier]
*ASYMPTOTIC theory of algebraic ideals, *DIFFERENTIAL equations, *STABILITY (Mechanics), *CHARACTERS of groups, *MATHEMATICAL analysis, *ASYMPTOTIC expansions, *MATHEMATICS
Abstract
Abstract: The general solution, the local and global asymptotic stability of equilibrium points and period three cycles of the third order rational difference equationare studied in this paper. [Copyright &y& Elsevier]
*DIFFERENTIAL equations, *ASYMPTOTIC theory of algebraic ideals, *NONLINEAR differential equations, *OPTIMAL stopping (Mathematical statistics), *MATHEMATICAL analysis, *CONSTRAINED optimization, *MATHEMATICS
Abstract
Abstract: In this paper, we study the asymptotic behaviour of a second order nonlinear differential equation arising in a constrained optimal stopping problem. Two examples are considered to illustrate our main result. The present result extends and supplements a recent result of the author . [Copyright &y& Elsevier]