• Title/Summary/Keyword: Dependent Variables

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Convergence of weighted sums of linearly negative quadrant dependent random variables (선형 음의 사분 종속확률변수에서 가중합에 대한 수렴성 연구)

  • Lee, Seung-Woo;Baek, Jong-Il
    • Journal of Applied Reliability
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    • v.12 no.4
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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.

Sharp Expectation Bounds on Extreme Order Statistics from Possibly Dependent Random Variables

  • Yun, Seokhoon
    • Communications for Statistical Applications and Methods
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    • v.11 no.3
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    • pp.455-463
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    • 2004
  • In this paper, we derive sharp upper and lower expectation bounds on the extreme order statistics from possibly dependent random variables whose marginal distributions are only known. The marginal distributions of the considered random variables may not be the same and the expectation bounds are completely determined by the marginal distributions only.

Application of Logit Model in Qualitative Dependent Variables (로짓모형을 이용한 질적 종속변수의 분석)

  • Lee, Kil-Soon;Yu, Wann
    • Journal of Families and Better Life
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    • v.10 no.1 s.19
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    • pp.131-138
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    • 1992
  • Regression analysis has become a standard statistical tool in the behavioral science. Because of its widespread popularity. regression has been often misused. Such is the case when the dependent variable is a qualitative measure rather than a continuous, interval measure. Regression estimates with a qualitative dependent variable does not meet the assumptions underlying regression. It can lead to serious errors in the standard statistical inference. Logit model is recommended as alternatives to the regression model for qualitative dependent variables. Researchers can employ this model to measure the relationship between independent variables and qualitative dependent variables without assuming that logit model was derived from probabilistic choice theory. Coefficients in logit model are typically estimated by the method of Maximum Likelihood Estimation in contrast to ordinary regression model which estimated by the method of Least Squares Estimation. Goodness of fit in logit model is based on the likelihood ratio statistics and the t-statistics is used for testing the null hypothesis.

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ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

  • SEO, HYE-YOUNG;SHII, DA-LI;BAEK, JONG-IL
    • Journal of applied mathematics & informatics
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    • v.37 no.3_4
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    • pp.207-217
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    • 2019
  • We are presented of several basic properties for negatively superadditive dependent(NSD) random variables. By using this concept we are obtained complete convergence for maximum partial sums of rowwise NSD random variables. These results obtained in this paper generalize a corresponding ones for independent random variables and negatively associated random variables.