• 대한수학회지
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• 제54권3호
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• pp.877-896
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• 2017

In this paper, the complete convergence and complete moment convergence for a class of random variables satisfying the Rosenthal type inequality are investigated. The sufficient and necessary conditions for the complete convergence and complete moment convergence are provided. As applications, the Baum-Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for a class of random variables satisfying the Rosenthal type inequality are established. The results obtained in the paper extend the corresponding ones for some dependent random variables.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1351-1361
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• 2011

We in this paper study the complete convergence and almost surely convergence for arrays of rowwise pairwise negatively dependent(ND) random variables (r.${\upsilon}$.'s) which are dominated randomly by some random variables and obtain a result dealing with complete convergence of linear processes.

• 한국신뢰성학회지:신뢰성응용연구
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• 제12권4호
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• pp.265-274
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• 2012

We in this paper discuss the strong law of large numbers for weighted sums of arrays of rowwise LNQD random variables by using a new exponential inequality of LNQD r.v.'s under suitable conditions and we obtain one of corollary.

• 대한수학회지
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• 제58권2호
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• pp.327-349
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• 2021

In this paper, we main study the strong law of large numbers and complete convergence for weighted sums of asymptotically almost negatively associated (AANA, in short) random variables, by using the Marcinkiewicz-Zygmund type moment inequality and Roenthal type moment inequality for AANA random variables. As an application, the complete consistency for the weighted linear estimator of nonparametric regression models based on AANA errors is obtained. Finally, some numerical simulations are carried out to verify the validity of our theoretical result.

• 패션비즈니스
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• 제16권5호
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• pp.192-206
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• 2012

This study aimed to examine the effects of demographic variables, stress, appearance management behavior, and family environment on self-esteem with the subjects of high school students with serious stress and great interest in appearance among the adolescences. This research was conducted during June, 2012, and the research method employed was the questionnaire. The questionnaire consisted of the contents about self-esteem, stress, appearance management behavior, and demographical variables. Regarding the adolescents' stress, generally, influential variables include relationship with parents and friends, school records, or school life satisfaction. And the adolescences' self-esteem was the crucial variable to indicated socio-psychological adaptation. And it was related with stress or appearance management behavior.

• 대한수학회지
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• 제46권4호
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• pp.827-840
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• 2009

Let {$X_{ni}$ | $1{\leq}i{\leq}n,\;n{\geq}1$} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of ${\sum}^n_{t=1}a_{ni}X_{ni}{\rightarrow}0$ completely as $n{\rightarrow}{\infty}$ under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.

• 대한수학회지
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• 제57권6호
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• pp.1485-1508
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• 2020

In this paper, we investigate the complete f-moment convergence for extended negatively dependent (END, for short) random variables under sub-linear expectations. We extend some results on complete f-moment convergence from the classical probability space to the sub-linear expectation space. As applications, we present some corollaries on complete moment convergence for END random variables under sub-linear expectations.

• 한국학교수학회논문집
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• 제4권1호
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• pp.1-8
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• 2001

This paper discusses some variables of innovation arised in the Mathematical Curriculum reform, This means that we should consider the curriculum change based on those variables so that the Mathematical Curriculum could be created on our culture, need of industrial society and nation's system. Those variables could be described as follows. (1) Extension of Compulsory Education (2) Needs of industrial society (3) Change of School environment (4) Integration of School subjects The research method used in the study was the interview-analysis method which the researcher firstly send the questionnaire and then have interviews with the target people. This study also suggests informally a possible solutions of problem that current mathematical curriculum is faced. Those solutions include the change of mathematics syllabus based on the adaption toward the real problems arised in real world.

• Communications for Statistical Applications and Methods
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• 제18권6호
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• pp.799-808
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• 2011

Let {${\Omega}$, $\mathcal{F}$, P} be a probability space and {$X_n{\mid}n{\geq}1$} be a sequence of random variables defined on it. A finite sequence of random variables {$X_i{\mid}1{\leq}i{\leq}n$} is a conditional associated given $\mathcal{F}$ if for any coordinate-wise nondecreasing functions f and g defined on $R^n$, $Cov^{\mathcal{F}}$ (f($X_1$, ${\ldots}$, $X_n$), g($X_1$, ${\ldots}$, $X_n$)) ${\geq}$ 0 a.s. whenever the conditional covariance exists. We obtain the H$\grave{a}$jek-R$\grave{e}$nyi-type inequality for conditional associated random variables. In addition, we establish the strong law of large numbers, the three series theorem, integrability of supremum, and a strong growth rate for $\mathcal{F}$-associated random variables.

• 대한가정학회지
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• 제44권4호
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• pp.11-21
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• 2006

The purpose of this study was to identify the ecological variables related with children's emotional intelligence, examine their recognition of all the variables affecting their emotional intelligence and classify the variables into the categories of children (gender, grade, self-efficacy), home environment (employed mother or unemployed mother, communication between parents and child, type of family composition, number of siblings), and peer group environment (peer group). The study subjects were 680 elementary school students. Data were analyzed via t-test, F-test, correlation, and multiple regression. The results of this study were as follows. First, emotional intelligence showed significant difference and relationship among the children variables, home environment variables, and peer group environment variable. (Ed- also note the absence of 'fourth' above) Second, emotional intelligence in children was relatively reviewed by the above three variables and the most affecting variable was self-efficacy in children.