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Optimal Sequential Tests which minimize the Average Sample Size
SUNG LAI KIM 충청수학회 1990 충청수학회지 Vol.3 No.1
For testing a hypothesis H : (θ = θ1, vs A : θ = θ2 (θ1 < θ2), we obtain a truncated sequential bayes procedure which minimizes the average sample isize between θ1 and θ2.
CHARACTERIZATIONS OF THE PARETO DISTRIBUTION BY THE INDEPENDENCE OF RECORD VALUES
Chang, Se-Kyung 충청수학회 2007 충청수학회지 Vol.20 No.1
In this paper, we establish characterizations of the Pareto distribution by the independence of record values. We prove that $X{\in}PAR(1,{\beta})$ for ${\beta}$ > 0, if and only if $\frac{X_{U(n)}}{X_{U(n)}-X_{U(n+1)}}$ and $X_{U(n)}$ are independent for $n{\geq}1$. And we show that $X{\in}PAR(1,{\beta})$ for ${\beta}$ > 0, if and only if $\frac{X_{U(n)}-X_{U(n+1)}}{X_{U(n)}}$ and $X_{U(n)}$ are independent for $n{\geq}1$.
ORTHOGONAL GROUP OF CERTAIN INDEFINITE LATTICE
Kim, Chang Heon 충청수학회 2007 충청수학회지 Vol.20 No.1
We compute the special orthogonal group of certain lattice of signature (2, 1).
GENERALIZED CUBIC MAPPINGS OF r-TYPE IN SEVERAL VARIABLES
Kang, Dong Seung 충청수학회 2007 충청수학회지 Vol.20 No.1
Let X, Y be vector spaces. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability problem for a cubic function $f:X{\rightarrow}Y$ satisfies $$r^3f(\frac{\Sigma_{j=1}^{n-1}x_j+2x_n}{r})+r^3f(\frac{\Sigma_{j=1}^{n-1}x_j-2x_n}{r})+8\sum_{j=1}^{n-1}f(x_j)=2f{\sum_{j=1}^{n-1}}x_j)+4{\sum_{j=1}^{n-1}}(f(x_j+x_n)+f(x_j-x_n))$$ for all $x_1,{\cdots},x_n{\in}X$.
ON STRONG C-INTEGRAL OF BANACH-VALUED FUNCTIONS
Zhao, Dafang,Ye, Guoju 충청수학회 2007 충청수학회지 Vol.20 No.1
In this paper, we define and study the Banach-valued C-integral and strong C-integral, We prove that the C-integral and the strong C-integral are equivalent if and only if the Banach space is finite dimensional. We also study the primitive of the strong C-integral in terms of the C-variational measures.
PROPERTIES OF NOETHERIAN QUOTIENTS IN R-GROUPS
Cho, Yong Uk 충청수학회 2007 충청수학회지 Vol.20 No.2
In this paper, we will introduce the noetherian quotients in R-groups, and then investigate the related substructures of the near-ring R and G and the R-group G. Also, applying the annihilator concept in R-groups and d.g. near-rings, we will survey some properties of the substructures of R and G in monogenic R-groups and faithful R-groups.
ON SOME GENERALIZED OPERATOR EQUILIBRIUM PROBLEMS
Kim, Won Kyu 충청수학회 2007 충청수학회지 Vol.20 No.1
In this paper, we will introduce the generalized operator equlibrium problem and generalized operator quasi-equlibrium problem which generalize operator equlibrium problem due to Kazmi and Raouf into multi-valued and quasi-equlibrium problems. Using a Park's fixed point theorem, we will prove a new existence theorem on generalized operator equlibrium problem which serves as a basic existence theorem for various kinds of nonlinear problems.
EXISTENCE OF SOLUTIONS FOR GRADIENT TYPE ELLIPTIC SYSTEMS WITH LINKING METHODS
Jin, Yinghua,Choi, Q-Heung 충청수학회 2007 충청수학회지 Vol.20 No.1
We study the existence of nontrivial solutions of the Gradient type Dirichlet boundary value problem for elliptic systems of the form $-{\Delta}U(x)={\nabla}F(x,U(x)),x{\in}{\Omega}$, where ${\Omega}{\subset}R^N(N{\geq}1)$ is a bounded regular domain and U = (u, v) : ${\Omega}{\rightarrow}R^2$. To study the system we use the liking theorem on product space.
AXES OF A MINIMAL SURFACE WITH PLANAR ENDS
Jin, Sun Sook 충청수학회 2007 충청수학회지 Vol.20 No.1
In this article, we consider axes of a minimal surface in $R^3$ of genus zero with a planar end, and then prove that two consecutive axes near planar end must be parallel but cannot be in a same line.