• Title/Summary/Keyword: admissibility

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On D-admissibility Conditions of Singular Systems

  • Gao, Lixin;Chen, Wenhai
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.86-92
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    • 2007
  • In this paper, we first establish $D_L$-admissibility and $D_R$-admissibility conditions for singular systems. The admissibility conditions expressed as Lyapunov type inequalities extend the existed results of normal systems to singular systems. As special cases the admissibility conditions of the continuous-time and the discrete-time singular systems can be obtained directly. The results established in this paper can be applied to solve the problems of eigenvalue assignment, regional pole-placement and robust control etc.

A Note on Admissibility and Finite Admissibility in Estimation

  • Byung Hwee Kim;Tae Ryoung Park
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.87-93
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    • 1994
  • Consider the problem of estimating the parameter of the model in which an observable random variable is represented by a unknown scalar parameter plus another random variable and the parameter, sample, and decision spaces consist of all integers. We first characterize the class of all admissible estimators and then characterize the class of all finitely admissible estimators. Finally, we show that two classes are identical.

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The Admissibility of Some Nonparametric Tests

  • Li, Seung-Chun
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.223-229
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    • 1997
  • It is demonstrated that many standard nonparametric test such as the Mann-Whitney-Wilcoxon test, the Fisher-Yates test, the Savage test and the median test are admissible for a two-sample nonparametric testing problem. The admissibility of the Kruskal-Wallis test is demonstrated for a nonparametric one-way layout testing problem.

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PROPAGATION OF PHASE BOUNDARIES: EXISTENCE AND ADMISSIBILITY OF SOLUTIONS VIA FRONT TRACKING METHOD

  • Ahn, Hyeung-Won;Lee, Choon-Ho
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.491-511
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    • 2006
  • The existence of the admissible solution for conservation laws of trilinear type occurring material sciences was proved by Abeyaratne and Knowles. LeFloch proved the existence of admissible solutions of conservation laws of this type via Glimm's method. In this paper we introduce a front tracking solution and prove the existence of the front tracking solution. We also investigate the admissibility of solutions via the Front Tracking Method.

On the admissibility condition in the model matching problem

  • Park, Kiheon
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.293-299
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    • 1994
  • A new approach to deal with the model matching problem for square plants is suggested. Admissibility conditions of the model matching error are derived in terms of state-space parameters and the derived formulas are exploited to obtain the solution to the model matching problem in H$_{2}$ norm.

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The Method of Verification for Legal Admissibility of Digital Evidence using the Digital Forensics Ontology (디지털 포렌식 온톨로지를 이용한 디지털 증거의 증거능력에 대한 검증 방법)

  • Cho, Hyuk-Gyu;Park, Heum;Kwon, Hyuk-Chul
    • The KIPS Transactions:PartD
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    • v.16D no.2
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    • pp.265-272
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    • 2009
  • Although the various crime involved numerous digital evidence, the digital evidence is hard to be acknowledged as a evidence to proof the crime fact in court. We propose the method of verification for the legal admissibility of digital evidence using digital forensics ontology. In order to verify the legal admissibility of digital evidence, we will extend the digital ontology by standard digital forensics process from Digital Forensics Technical Manual defined by KNPA and set up the relation properties and the rule of property constraint to process class in the digital forensics ontology. It is possible for proposed ontology to utilize to plan the criminal investigation and to educate the digital forensics.

Asymptotically Adimissible and Minimax Estimators of the Unknown Mean

  • Andrew L. Rukhin;Kim, Woo-Chul
    • Journal of the Korean Statistical Society
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    • v.22 no.2
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    • pp.191-200
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    • 1993
  • An asymptotic estimation problem of the unknown mean is studied under a general loss function. The proof of this result is based on the asymptotic expansion of the risk function. Also conditions for second order admissibility and minimaxity of a class of estimators depending only on the sample mean are established.

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Admissibility of Some Stepwise Bayes Estimators

  • Kim, Byung-Hwee
    • Journal of the Korean Statistical Society
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    • v.16 no.2
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    • pp.102-112
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    • 1987
  • This paper treats the problem of estimating an arbitrary parametric function in the case when the parameter and sample spaces are countable and the decision space is arbitrary. Using the notions of a stepwise Bayesian procedure and finite admissibility, a theorem is proved. It shows that under some assumptions, every finitely admissible estimator is unique stepwise Bayes with respect to a finite or countable sequence of mutually orthogonal priors with finite supports. Under an additional assumption, it is shown that the converse is true as well. The first can be also extended to the case when the parameter and sample space are arbitrary, i.e., not necessarily countable, and the underlying probability distributions are discrete.

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Bayes Estimation in a Hierarchical Linear Model

  • Park, Kuey-Chung;Chang, In-Hong;Kim, Byung-Hwee
    • Journal of the Korean Statistical Society
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    • v.27 no.1
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    • pp.1-10
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    • 1998
  • In the problem of estimating a vector of unknown regression coefficients under the sum of squared error losses in a hierarchical linear model, we propose the hierarchical Bayes estimator of a vector of unknown regression coefficients in a hierarchical linear model, and then prove the admissibility of this estimator using Blyth's (196\51) method.

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