• Title/Summary/Keyword: Dependent Variables

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LIMITING BEHAVIOR OF THE MAXIMUM OF THE PARTIAL SUM FOR NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

  • KIM, HYUN-CHULL
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.3
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    • pp.409-417
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    • 2015
  • In this paper, some $L_p$-convergences and complete convergences of the maximum of the partial sum for negatively superadditive dependent random variables are obtained. The proofs of the results are based on a new Rosenthal type inequality concerning negatively superadditive dependent random variables.

THE CENTRAL LIMIT THEOREMS FOR STATIONARY LINEAR PROCESSES GENERATED BY DEPENDENT SEQUENCES

  • Kim, Tae-Sung;Ko, Mi-Hwa;Ryu, Dae-Hee
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.299-305
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    • 2003
  • The central limit theorems are obtained for stationary linear processes of the form Xt = (equation omitted), where {$\varepsilon$t} is a strictly stationary sequence of random variables which are either linearly positive quad-rant dependent or associated and {aj} is a sequence of .eat numbers with (equation omitted).

ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE NEGATIVELY DEPENDENT RANDOM VARIABLES

  • Baek, Jong-Il;Seo, Hye-Young;Lee, Gil-Hwan;Choi, Jeong-Yeol
    • Journal of the Korean Mathematical Society
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    • v.46 no.4
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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.

Time-dependent analysis of cable trusses -Part II. Simulation-based reliability assessment

  • Kmet, S.;Tomko, M.;J., Brda
    • Structural Engineering and Mechanics
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    • v.38 no.2
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    • pp.171-193
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    • 2011
  • One of the possible alternatives of simulation-based time-dependent reliability assessment of pre-stressed biconcave and biconvex cable trusses, the Monte Carlo method, is applied in this paper. The influence of an excessive deflection of cable truss (caused by creep of cables and rheologic changes) on its time-dependent serviceability is investigated. Attention is given to the definition of the basic random variables and their statistical functions (basic, mutually dependent random variables such as the pre-stressing forces of the bottom and top cable, structural geometry, the Young's modulus of elasticity of the cables, and the independent variables, such as permanent load, wind, snow and thermal actions). Then, the determination of the response of the cable truss to the loading effects, and the definition of the limiting values considering serviceability of the structure are performed. The potential of the method, using direct Monte Carlo technique for simulation-based time-dependent reliability assessment as a powerful tool, is emphasized. Results obtained by the First order reliability method (FORM) are compared with those obtained by the Monte Carlo simulation technique.

A Review on Current Studies on Community Attachment and Its Related Variables (지역사회 친밀도의 최근 연구와 관련변인 고찰)

  • Park, Kyong-Cheol;Kim, Sung-Soo
    • Journal of Agricultural Extension & Community Development
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    • v.8 no.2
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    • pp.201-208
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    • 2001
  • The purpose of this study was to review the current studies on community attachment and its related variables to suggest directions for community attachment studies in Korea. Specific objectives of the study were to search the current studies on community attachment, to search for the significant variables related to community attachment, and to draw implications for community development in Korea. The major findings of the study were as follows; 1) Current studies on community attachment used individual characteristic variables such as length of residence in the community, age, size of population and density as major independent variables. 2) Studies on community attachment used community participation, social and cultural environment as major dependent variables, however, both independent variables and dependent variables were used interchangeably in many cases. 3) Recent studied on community attachment employed community economic and cultural variables, however, studies on community attachment in Korea was relatively limited in terms of quantity as well as quality. 4) Further research on community attachment should be conducted by utilizing various independent and dependent variables in various communities to increase the community attachment in rural and urban communities to further strengthen community development in Korea.

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A Study on Amount of Information Search and Consumer's Post-purchase Satisfaction according to Consumer Information Sources (소비자 정보원에 따른 정보탐색량과 구매후 만족에 관한 연구 -서울특별시 주부 소비자의 냉장고 구매를 중심으로-)

  • Lee, Il-Kyoung;Rhee, Kee-Choon
    • Journal of Families and Better Life
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    • v.10 no.1 s.19
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    • pp.27-42
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    • 1992
  • This study focused on consumer information search activity and consumer's post-purchase satisfaction. For these purpose, a survey was conducted suing questionaires on 430 homemakers that lived in seoul. Statistics used for data were Frequency Distribution. Percentile, Mean, One-way AAANOVA., Scheffe-test, T-test, Pearson's correlation. Multiple Regression Analysis and Multiple Classification Analysis. The major findings were ; 1) The level of each amount information search was lower than average. And the level of consumer's post-purchase satisfaction was a little higher than average. 2) On amount of "noncommercial-personal" information search, the influencing variables were desire to seek information, education, brand royalty in turn. These three variables explained 7% of dependent variable's variance. 3) On amount of "noncommercial-media" information search, the influencing variables were desire to seek information, amount of internal information, education, occupational status in turn. These variables explained 14% of dependent variable's variance. 4) On amount of "commercial-personal" information search, the influencing variable was desire to seek information, and this variable explained 3.1% of dependent variable'a variance. 5) On amount of "commercial-media" information search, the influencing variables were desire to seek information, education, amount of internal information in turn. These three variables explained 12.1% dependent variable's variance. 6) Resulting from multiple classification analysis, influencing variables on consumer's post-purchase satisfaction were amount of noncommercial-media information search and printed media search, and brand royalty. These three variables explained 9% of dependent variable's variance. Furthermore, througout all the subareas of consumer's satisfaction, the amount of noncommercial-media information search was the most influencing variable.

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A Study on the Developmental Trend of the Human body for the establishment of the Apparel Sizing System -on the high school boys and girls between age 16 and 18- (의복의 사이즈 체계 설정을 위한 신체 발달 경향에 대한 연구)

  • Kim Ku Ja;Lee Soon Won
    • Journal of the Korean Society of Clothing and Textiles
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    • v.15 no.1
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    • pp.48-60
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    • 1991
  • The purpose of this study is to analyze the pattern of human developmental growth with empirical anthropometric data for clothing construction. The sample was drawn randomly out of senior high school boys and girls in seoul urban area. The sample size was 424 boys and 301 girls between age 16 and 18. Dependent variables of this study were modified after extraction of common variables from raw data. 42 dependent variables were analyzed by the method of Duncan Test as Multiple Range Test among three age groups and T-Test between male and female of same age groups. The analysis of these data was carried with spss-x package by the computer installed in INHA University. The major findings can be summarized as follows. 1. In Duncan Test, female students between age 16 and 18 were not significantly different in the majority of dependent variables, but girth measurements and weight of 17 and 18 age groups were significantly different from that of 16 age groups. 2. In Duncan Test, male students were significantly different in the majority of the dependent variables, especially 33 variabls from 42 variables, among three age groups. 3. In T-Test, hip girth was only not significantly different between male and female and neck girth of the female students was only significantly larger than that of the male students.

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Canonical Transformations for Time-Dependent Harmonic Oscillators

  • Park, Tae-Jun
    • Bulletin of the Korean Chemical Society
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    • v.25 no.2
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    • pp.285-288
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    • 2004
  • A canonical transformation changes variables such as coordinates and momenta to new variables preserving either the Poisson bracket or the commutation relations depending on whether the problem is classical or quantal respectively. Classically canonical transformations are well established as a powerful tool for solving differential equations. Quantum canonical transformations have been defined and used relatively recently because of the non-commutativeness of the quantum variables. Three elementary canonical transformations and their composite transformations have quantum implementations. Quantum canonical transformations have been mostly used in time-independent Schrodinger equations and a harmonic oscillator with time-dependent angular frequency is probably the only time-dependent problem solved by these transformations. In this work, we apply quantum canonical transformations to a harmonic oscillator in which both angular frequency and equilibrium position are time-dependent.