• Title/Summary/Keyword: degree of random­ness

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The Ordering of Conditionally Multivariate Random Vectors

  • Baek, Jong Il;Park, Chun Ho
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.237-247
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    • 2001
  • In this paper, we will introduce multivariate versions of bivariate conditionally positive dependence and the partial ordering is developed among conditionally positive lower orthant dependent(CPLOD) random vectors. This permits us to measure the degree of CPLOD-ness and to compare pairs of CPLOD random vectors. Some proper ties and closure under certain statistical operations are derived.

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A PARTIAL ORDERING OF WEAK POSITIVE QUADRANT DEPENDENCE

  • Kim, Tae-Sung;Lee, Young-Ro
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1105-1116
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    • 1996
  • A partial ordering is developed among weakly positive quadrant dependent (WPQD) bivariate random vectors. This permits us to measure the degree of WPQD-ness and to compare pairs of WPQD random vectors. Some properties and closures under certain statistical operations are derived. An application is made to measures of dependence such as Kendall's $\tau$ and Spearman's $\rho$.

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A PARTIAL ORDERING OF CONDITIONALLY POSITIVE QUADRANT DEPENDENCE

  • Baek, Jong-Il;Choi, Jeong-Yeol;Park, Chun-Ho
    • Communications of the Korean Mathematical Society
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    • v.16 no.2
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    • pp.297-308
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    • 2001
  • A partial ordering is developed here among conditionally positive quadrant dependent (CPQD) bivariate random vectors. This permits us to measure the degree of CPQD-ness and to compare pairs of CPQD random vectors. Some properties and closure under certain statistical operations are derived.

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Signal Processing(II)-Detection and Estimation of Random Process, Karhunen Lo$\grave{e}$ve Expansion, SVD of an Image) (신호처리(II)-Random Process의 detection 및 estimation Karhunen.Loeve의 전개, 한 서상의 SVD)

  • 안수길
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.17 no.1
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    • pp.1-9
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    • 1980
  • In this paper several basic techniques for signal processing and analysis are surveyed. Firstly by the intervention of the uncertainty principle, an equality sign may have different degree of precision if non commutable operators are applied. Seconds y maximum entropy estimate and randam process based viewpoint must be enhanced to get rid of the well established and reigning deterministic image of science. Thirdly techniques for the analysis of a signal namely detection. ess]motion and modulation are explained as well as the positive definiteness of a covariance function, Karhunen-Loeve expansion and SVD of an image.

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