• Title/Summary/Keyword: Independence

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A Study on the Military Uniforms of the Korean Volunteer Corps and the 1st Branch of the Korean Independence Army (조선의용대와 한국광복군 제1지대 군복 연구)

  • Jeong Min Kim;Chang Hyuk Kim
    • Journal of the Korean Society of Clothing and Textiles
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    • v.47 no.4
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    • pp.684-695
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    • 2023
  • The Korean Volunteer Corps (KVC) and the Korean Independence Army (KIA) were Korea's main armed forces that led the independence movement against Japan. KVC members were partly merged into the KIA as the army's first branch in 1942. This study examines two different styles of KVC military uniforms: one that complies with the Uniforms Act of the Army of the Chinese Nationalist government and one that uses the same style without a field cap and a belt. The KIA's first branch had three different uniforms: one similar to that of the KVC, one belonging to the KIA and following the Army Uniform Protocol, and one influenced by the U.S. Army. The KVC and the KIA's first branches had insignias representing their identity. The former wore a distinctive insignia with the corps' name, whereas the latter had a cap badge with Korean national symbols under the Army Insignia Protocol. KVC members who may have initially worn their previous uniform in the early days of joining the KIA later adopted the KIA style. This study is expected to offer basic resources to reproduce KVC and KIA military uniforms and verify the authenticity of related artifacts.

A ROLE OF SINGLETONS IN QUANTUM CENTRAL LIMIT THEOREMS

  • Accardi, Luigi;Hashimoto, Yukihiro;Obata, Nobuaki
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.675-690
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    • 1998
  • A role of singletons in quantum central limit theorems is studied. A common feature of quantum central limit distributions, the singleton condition which guarantees the symmetry of the limit distributions, is revisited in the category of discrete groups and monoids. Introducing a general notion of quantum independence, the singleton independence which include the singleton condition as an extremal case, we clarify the role of singletons and investigate the mechanism of arising non-symmetric limit distributions.

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Bayesian Testing for Independence in Bivariate Exponential Model

  • Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.521-527
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    • 2006
  • In this paper, we consider the Bayesian hypotheses testing for independence in bivariate exponential model. In Bayesian testing problem, we use the noninformative priors for parameters which are improper and are defined only up to arbitrary constants. And we use the recently proposed hypotheses testing criterion called the fractional Bayes factor. Also we give some numerical results to illustrate our results.

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A MESH-INDEPENDENCE PRINCIPLE FOR OPERATORS EQUATIONS AND THE STEFFENSEN METHOD

  • Argyros, Ioannis-K.
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.323-340
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    • 1997
  • In this study we prove the mesh-independence principle via Steffensen's method. This principle asserts that when Steffensen's method is applied to a nonlinear equation between some Banach spaces as well as to some finite-dimensional discretization of that equation then the behavior of th discretized process is asymptoti-cally the same as that for the original iteration. Local and semilo-cal convergencve results as well as an error analysis for Steffensen's method are also provided.

ON CHARACTERIZATIONS OF THE CONTINUOUS DISTRIBUTIONS BY INDEPENDENCE PROPERTY OF RECORD VALUES

  • JIN, HYUN-WOO;LEE, MIN-YOUNG
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.651-657
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    • 2017
  • A sequence {$X_n,\;n{\geq}1$} of independent and identically distributed random variables with absolutely continuous (with respect to Lebesque measure) cumulative distribution function F(x) is considered. We obtain two characterizations of a family of continuous probability distribution by independence property of record values.

CONDITIONAL INDEPENDENCE AND TENSOR PRODUCTS OF CERTAIN HILBERT L(sup)$\infty$-MODULES

  • Hoover, Thomas;Lambert, Alan
    • Journal of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.125-134
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    • 2001
  • Independent $\sigma$-algebras Α and Β on X, L$^2$(X, Α V Β), L$^2$(X x X, Α x Β), and the Hilbert space tensor product L$^2$(X,Α), (※Equations, See Full-text) L$^2$(X,Β), are isomorphic. In this note, we show that various Hilbert C(sup)*-algebra tensor products provide the analogous roles when independence is weakened to conditional independence.

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A Test for Independence between Two Infinite Order Autoregressive Processes

  • Kim, Eun-Hee;Lee, Sang-Yeol
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.191-197
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    • 2003
  • This paper considers the independence test for two stationary infinite order autoregressive processes. For a test, we follow the empirical process method devised by Hoeffding (1948) and Blum, Kiefer and Rosenblatt (1961), and construct the Cram${\acute{e}}$r-von Mises type test statistics based on the least squares residuals. It is shown that the proposed test statistics behave asymptotically the same as those based on true errors.

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Bayesian Approach for Independence Test in Bivariate Exponential Model

  • Cho, Jang-Sik
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.327-333
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    • 2006
  • In this paper, we consider the Bayesian hypotheses testing for independence in bivariate exponential model. In Bayesian testing problem, we use the noninformative priors for parameters which are improper and are defined only up to arbitrary constants. And we use the recently proposed hypotheses testing criterion called the fractional Bayes factor. Also we give some numerical results to illustrate our results.

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Test for Independence in Bivariate Pareto Model with Bivariate Random Censored Data

  • Cho, Jang-Sik;Kwon, Yong-Man;Choi, Seung-Bae
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.1
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    • pp.31-39
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    • 2004
  • In this paper, we consider two components system which the lifetimes follow bivariate pareto model with bivariate random censored data. We assume that the censoring times are independent of the lifetimes of the two components. We develop large sample test for testing independence between two components. Also we present a simulation study which is the test based on asymptotic normal distribution in testing independence.

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The Chi-squared Test of Independence for a Multi-way Contingency Table wish All Margins Fixed

  • Park, Cheolyong
    • Journal of the Korean Statistical Society
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    • v.27 no.2
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    • pp.197-203
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    • 1998
  • To test the hypothesis of complete or total independence for a multi-way contingency table, the Pearson chi-squared test statistic is usually employed under Poisson or multinomial models. It is well known that, under the hypothesis, this statistic follows an asymptotic chi-squared distribution. We consider the case where all marginal sums of the contingency table are fixed. Using conditional limit theorems, we show that the chi-squared test statistic has the same limiting distribution for this case.

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