• Title/Summary/Keyword: Dependent Variables

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STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES

  • Ko, Mi-Hwa;Han, Kwang-Hee;Kim, Tae-Sung
    • Journal of the Korean Mathematical Society
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    • v.43 no.6
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    • pp.1325-1338
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    • 2006
  • For double arrays of constants ${a_{ni},\;1{\leq}i{\leq}k_n,\;n{\geq}1}$ and sequences of negatively orthant dependent random variables ${X_n,\;n{\geq}1}$, the conditions for strong law of large number of ${\sum}^{k_n}_{i=1}a_{ni}X_i$ are given. Both cases $k_n{\uparrow}{\infty}\;and\;k_n={\infty}$ are treated.

A CLT FOR WEAKLY DEPENDENT RANDOM FIELDS

  • Jeon, Tae-Il
    • Communications of the Korean Mathematical Society
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    • v.14 no.3
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    • pp.597-609
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    • 1999
  • In this article we prove a central limit theorem for strictly stationary weakly dependent random fields with some interlaced mix-ing conditions. Mixing coefficients are not assumed. The result it basically the same to Peligrad([4]), which is CLT weakly depen-dent arrays of random variables. The proof is quite similar to the of Peligrad.

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A Study of Users' Cognitive Characteristics Influencing upon the Usage of End-User Searching Systems (최종이용자탐색시스템의 이용과 이용자의 인지적 특성간의 관계 연구)

  • Lee Sang-Bok
    • Journal of the Korean Society for Library and Information Science
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    • v.27
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    • pp.291-339
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    • 1994
  • The purpose of this study is to find personal characteristics that affect users' cognitive characteristics of system, and to verify correlations between this users' cognitive characteristics and selection of system usage in using end -user searching systems (EUSS), For corroborative analysis of this study, preliminary model was constructed referring to Davis' Technology Acceptance Model. The model consists of exogenous variables (personal characteristics) , parameter variables (perceived usefulness, perceived ease of use), and effect variables (selection of system usage), When exogenous variables affect parameter variables, exogenous variables are independent variables and parameter variables are dependent variables. In addition, in correlation of parameter variables, which have been affected by exogenous variables, with effect variables, parameter variables are independent variables and effect variables are dependent variables, As for the research methodology, this study regards the Academic Information System connected with the Internet as EUSS, So questionnaires have been sent to researchers in universities who were conducting direct searching for the system. 229 valid responses to questionnaires have been analyzed according to Pearson Correlation Analysis and Stepwise Selection of Multiple Regression in the statistical software packages, 'SPSS PC+'. The findings and conclusions made in this study are summarized as follows; 1. Among the personal characteristics (age, disciplinary, computer literacy level, perceived usefulness of use education and training, perceived satisfaction of end-user searching, perceived satisfaction of system characteristics), all characteristics but age affect perceived usefulness and perceived ease of use. Specifically, perceived satisfaction of end user searching and perceived satisfaction of system characteristics most affect perceived usefulness and perceived ease of use respectively. 2. Perceived usefulness and perceived ease of use have a direct effect on selection of system usage in using EUSS. 3, Perceived usefulness more affect selection of system usage than perceived ease of use in using EUSS.

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COMPLETE f-MOMENT CONVERGENCE FOR EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

  • Lu, Chao;Wang, Rui;Wang, Xuejun;Wu, Yi
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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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.

Steiner씨 분석법의 이상적합치에 관한 연구

  • Park, Yoㅕng-Chel;Jun, Youn-Sic;Son, Byung-Hwa;Ryu, Young-Kyu
    • The Journal of the Korean dental association
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    • v.20 no.6 s.157
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    • pp.513-524
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    • 1982
  • The purpose of this study was to test the statistical significance of Ideal Acceptable Compromise and determine the range of their use according to the Steiner's analysis. 56 adults male and 62 adults female ranging in age from 18 to 20 years with normal occlusion were studied and analyzed statistically. The results were as follows; 1. The authors obtained the ANB range values and ideal acceptable compromise. 2. Simple correlation coefficients of each variables used in the ideal acceptable compromise were obtained. 3. It is most valid that use the ANB angle as a dependent variable among the five variables. 4. In the multiple regression equations, the rank of significant variables were 1 to NA(angle), I to NA(mm), 1 to NB (mm) in male group, and 1 to NA (angle), 1 to NB (angle), 1 to NA (mm), 1 to NB (mm) in female group when ANB angle was used as a dependent variables.

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On the Negative Quadrant Dependence in Three Dimensions

  • Ko, Mi-Hwa;Kim, Tae-Sung
    • Honam Mathematical Journal
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    • v.25 no.1
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    • pp.117-127
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    • 2003
  • In this note we perform an extreme point analysis on two natural definitions of negative quadrant dependence of three random variables and examine how different these two notions of dependence. We also characterize some special distributions which are both negatively lower orthant dependent and negatively upper orthant dependent.

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A CLT FOR A SEQUENCE OF RANDOM FIELDS ON A RESTRICTED INDEXED SET

  • JEON T. I.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.441-453
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    • 2005
  • In this article we will introduce a real valued random field on a restricted indexed set and construct a classical asymptotic limit theorems on them. We will survey the basic properties of weakly dependent random processes and investigate two major mixing conditions for sequences of random variables. The concepts of weakly dependent sequence of random variables will be generalized to the case of random fields. Finally we will construct a central limit theorem and prove it.

THE ALMOST SURE CONVERGENCE OF WEIGHTED AVERAGES UNDER NEGATIVE QUADRANT DEPENDENCE

  • Ryu, Dae-Hee
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.885-893
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    • 2009
  • In this paper we study the strong law of large numbers for weighted average of pairwise negatively quadrant dependent random variables. This result extends that of Jamison et al.(Convergence of weight averages of independent random variables Z. Wahrsch. Verw Gebiete(1965) 4 40-44) to the negative quadrant dependence.

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Analysis of the Heuristic Theory and the Prospect Theory for Smartphones: Focusing on Framing, Endowment Effect and Regulatory Focus Theory (스마트폰을 대상으로 한 휴리스틱 및 프로스펙트 효과 분석: 프레이밍, 보유효과 및 조절초점 이론을 중심으로)

  • Kim, Soon-Hong
    • Journal of Distribution Science
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    • v.14 no.12
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    • pp.99-105
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    • 2016
  • Purpose - In the present study, it has become the most important necessity in our daily lives that consumers' psychological factors affect the use of smartphones, and it has been analyzed through behavioral economic approaches. In this respect, the present study is intended to apply the heuristic theory and the prospect theory among behavioral economics theories to examine how psychological factors affect consumers' product selection. Research design, data, and methodology - In the present study, using smartphone repurchase as a dependent variable, whether regulatory focus effects have interaction effects on behavioral economic theories and behavioral economic effects such as possession (ownership) effects, framing effects, and brand recollection. As an analysis method, questionnaire surveys conducted with university students in Incheon were examined through Two-Way ANOVAs using the SPSS23 package. Results - The analysis from the results are as follows. Using smartphone repurchase as a dependent variable, the main effects and interaction effects on two variables; satisfaction difference with product functions and positive framing variable were statistically significant. Using repurchase as a dependent variable was statistically significant, there was no interaction effect between the two variables; satisfaction difference with product functions and the difference of brands in possession. Using smartphone repurchase as a dependent variable, interaction effects on two variables; satisfaction difference with product functions and the lengths of product possession periods were not statistically significant. The results from the analyses of interaction effects of brand recollection and brands type were statistically significant in possession using repurchase as a dependent variable. The results from the analyses of the main effect of the brands type were statistically significant in possession using repurchase as a dependent variable. Conclusions - The implication of the present study is that it suggests the factors that became important for customers' smartphone purchase following the change in the meaning of smartphones from practical products in the past to hedonic products. Limitations of the present study are first, the study subjects are limited to students and the number of copies in questionnaires is only approximately 130, which is insufficient, so that the present study is not sufficient as a study for entire smartphone users.

An Empirical Study on Urban Land Use Changing Patterns with the Rapid Urban Expansion (급속한 도시팽창과정에서 도시토지이용변동의 실증적 연구)

  • 김지열;강병기
    • Journal of the Korean Regional Science Association
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    • v.8 no.1
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    • pp.31-50
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    • 1992
  • The aim of this paper is to define major factors influencing land development of each of major uses (residential, commercial, industrial) in the process of rapid urban expansion. The main hypothesis of this study is that land use changing patterns are directed by supply side of land managed to public policies rather than demand side. The graphic analysis is applied to relationships between urban growth and land development process of each use and between land development project managed to public policies and land development process. Public and land development projects and zonning protection seem to be major roles of land supply and main determinants of urban spatial structure. Location factors for land development of each uses are selected in 23 variables. Factor analysis is applied to test correlation between variables in 1971 and 1981. Factor structure between two years is similar, but progressive processing of functional separation is derived such as intensive land use is grouped, different location between residential and industrial use is deep. Dependent variables are standardized to logarithm of land development of each use per unit vacant land in two periods, between 1971 and 1980 year and between 1981 year. Correlation analysis between 6 dependent variables and 23 location factors in each years are applied. Major factors of each use are selected in criteria such as high correlation with dependent variables, low correlation between independent variables and common application in two periods. As the result, major factors for residential land development are Land Readjustment Project (LRP), percent of total zoned area in residential zone, residential floor space density per available area, percent of total area in industrial use; for commercial development is distance to CBD, percent of total area in commercial use, residential floor space density per available area in each year, and volumn rate of industrial use; for industrial use is percent of total area of industrial use is percent of total area of industrial use, Industrial Estate Project (IES), LRP, and distance from CBD. Land development pattern of each use between two periods are slightly different. So 6 equation is derived from appling backward method of regession. Adjusted multiple R squares of all is more than 0.5 and those equation is statistically significant and valuable to assist urban land use forecasting.

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