• Journal of the Korean Mathematical Society
• /
• v.33 no.4
• /
• pp.983-992
• /
• 1996

Let p(x, dy) be a transition probability function on $(S, \rho)$, where S is a complete separable metric space. Then a Markov process $X_n$ which has p(x, dy) as its transition probability may be generated by random iterations of the form $X_{n+1} = f(X_n, \varepsilon_{n+1})$, where $\varepsilon_n$ is a sequence of independent and identically distributed random variables (See, e.g., Kifer(1986), Bhattacharya and Waymire(1990)).

• Journal of the Korean Mathematical Society
• /
• v.39 no.1
• /
• pp.119-126
• /
• 2002

For a stationary multivariate linear process of the form X$_{t}$ = (equation omitted), where {Z$_{t}$ : t = 0$\pm$1$\pm$2ㆍㆍㆍ} is a sequence of stationary linearly positive quadrant dependent m-dimensional random vectors with E(Z$_{t}$) = O and E∥Z$_{t}$∥ $^2$< $\infty$, we prove a central limit theorem.theorem.

• Communications of the Korean Mathematical Society
• /
• v.13 no.2
• /
• pp.377-384
• /
• 1998

Let ${X_n,n \geq 1}$ be a sequence of stochatically dominated pairwise independent random variables. Let ${a_n, n \geq 1}$ and ${b_n, n \geq 1}$ be seqence of constants such that $a_n \neq 0$ and $0 < b_n \uparrow \infty$. A strong law large numbers of the form $\sum^{n}_{j=1}{a_j X_i//b_n \to 0$ almost surely is obtained.

• Journal of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.279-287
• /
• 1995

Let $F$ be a set of distributions on R with the topology of weak convergence, and let $A$ be the $\sigma$-field generated by the open sets. We denote by $F_1^\infty$ the space consisting of all infinite sequence $(F_1, F_2, \cdots), F_n \in F and R_1^\infty$ the space consisting of all infinite sequences $(x_1, x_2, \cdots)$ of real numbers. Take the $\sigma$-field $F_1^\infty$ to be the smallest $\sigma$-field of subsets of $F_1^\infty$ containing all finite-dimensional rectangles and take $B_1^\infty$ to be the Borel $\sigma$-field $R_1^\infty$.

• Communications for Statistical Applications and Methods
• /
• v.2 no.2
• /
• pp.347-349
• /
• 1995

In this paper a central limit theorem on $L^P(R)$ for $1{\leq}p<{\infty}$ is obtained with an example when ${X_n}$ is a sequence of independent, identically distributed random variables on $L^P(R)$.

• Journal of the Korean Statistical Society
• /
• v.33 no.1
• /
• pp.99-106
• /
• 2004

Let {X, $X_{n}, n\;{\geq}\;1$} be a sequence of identically distributed, negatively associated (NA) random variables and assume that $│X│^{r}$, r > 0, has a finite moment generating function. A strong law of large numbers is established for weighted sums of these variables.

• Proceedings of the Korean Information Science Society Conference
• /
• 2001.04a
• /
• pp.751-753
• /
• 2001

지금까지 인간이나 다른 생물체의 전체 유전체 염기서열을 밝혀내는 작업은 크게 세가지 방법으로 진행되었다. Clone-by-clone approach, sequence tagged connector approach, random shotgun approach[1]가 그것인데 마지막의 random shotgun approach는 fragment assembly problem을 비롯한 여러 가지 전산학적인 문제들을 수반한다. 미생물체의 전체 염기서열을 random shotgun approach를 이용하여 밝혀낼 때 몇 가지 전산학적인 문제가 테크닉이 필요하며 그 중에서도 서열간의 forward, reverse의 mating 정보를 이용하는 것이 중요하다. 본 논문은 이러한 mating 작업을 한 눈에 볼 수 있게 하는 소프트웨어 페키지 “Mater”에 대해 소개하고자 하며 그 의미에 대해 논하고자 한다.

• Journal of the Korean Statistical Society
• /
• v.32 no.1
• /
• pp.73-83
• /
• 2003

In this paper, we first obtain some characterizations of compact subsets of the space of level-wise continuous fuzzy numbers in R by the modulus of continuity. Using this, we establish the tightness for a sequence of level-wise continuous fuzzy random variables.

• Journal of Internet Computing and Services
• /
• v.17 no.5
• /
• pp.111-119
• /
• 2016

In recent years, the opinion analysis is one of the key research fronts of any domain. Opinion target extraction is an essential process of opinion analysis. Target is usually referred to noun or noun phrase in an entity which is deliberated by the opinion holder. Extraction of opinion target facilitates the opinion analysis more precisely and in addition helps to identify the opinion polarity i.e. users can perceive opinion in detail of a target including all its features. One of the most commonly employed algorithms is a sequence labeling algorithm also called Conditional Random Fields. In present article, recent opinion target extraction approaches are reviewed based on sequence labeling algorithm and it features combinations by analyzing and comparing these approaches. The good selection of features combinations will in some way give a good or better accuracy result. Features combinations are an essential process that can be used to identify and remove unneeded, irrelevant and redundant attributes from data that do not contribute to the accuracy of a predictive model or may in fact decrease the accuracy of the model. Hence, in general this review eventually leads to the contribution for the opinion analysis approach and assist researcher for the opinion target extraction in particular.

• Journal of Life Science
• /
• v.10 no.4
• /
• pp.422-430
• /
• 2000

In order to search for the effects of Shine-Dalgarno (SD) sequence and nucleotide sequence of spacer region (SD-ATG) on bGH expression, oligonucleotides containing random SD sequences and a spacer region were chemically synthesized. The distance between SD region and initiation codon (ATG) was fixed to 9 nucleotides in length. The expression vectors have been constructed using pT7-1 vector containing a T7 promoter. Positive clones were screened with colony hybridization and named pT7A or pT7B plasmid series. The selected clones were confirmed by DNA sequencing and finally, 19 clones having various SD combinations were obtained. When bovine growth hormone was induced by IPTG in E. coli BL21(DE3), all cells harboring these plasmids produced a detectable level of bGH in western blot analysis. However, various SD sequences did not affect on bGH expression, indicating that the sequences of SD and the spacer region did not sufficiently destabilize mRNA secondary structure of bGH gene. Therefore, these results indicate that the disruption of mRNA secondary structure might be a major factor for regulating bGH expression in the translational initiation process.