• 제목/요약/키워드: *-derivation

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계수과정의 우도함수 유도 (Derivation of the likelihood function for the counting process)

  • 오창혁
    • Journal of the Korean Data and Information Science Society
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    • 제25권1호
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    • pp.169-176
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    • 2014
  • 계수과정은 다양한 분야에서 활용되고 있으며 그 성질은 강도함수에 의해 결정된다. 일정 구간에서 연속적으로 과정이 관측될 때, 우도함수를 이용하여 강도함수의 모수를 추정할 수 있다. 그러나 기존의 연구는 직관적인 방법에 의한 우도함수 유도이며, 여러 명의 저자에 의해 얻은 우도함수가 일치하지 않아 우도함수를 이용한 최우추정치를 구하는 문제 등의 적용에 어려움이 발생하고 있다. 따라서 이 단신연구에서는 계수과정의 우도함수를 엄밀한 방법으로 유도하여 기존의 문제점을 해결한다.

A GROWING ALGEBRA CONTAINING THE POLYNOMIAL RING

  • Choi, Seul-Hee
    • 호남수학학술지
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    • 제32권3호
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    • pp.467-480
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    • 2010
  • There are various papers on finding all the derivations of a non-associative algebra and an anti-symmetrized algebra (see [2], [3], [4], [5], [6], [10], [13], [15], [16]). We and all the derivations of the growing algebra WN($e^{{\pm}x_1x_2x_3}$, 0, 3)[1] with the set of all right annihilators $T_3$ = $\{id,\;\partial_1,\;\partial_2,\;\partial_3\}$ in the paper. The dimension of $Der_{non}$(WN($e^{{\pm}x_1x_2x_3}$, 0, 3)$_{[1]}$) of the algebra WN($e^{{\pm}x_1x_2x_3}$, 0, 3)$_{[1]}$ is one and every derivation of the algebra WN($e^{{\pm}x_1x_2x_3}$, 0, 3)$_{[1]}$ is outer. We show that there is a class P of purely outer algebras in this work.

NEW ALGEBRAS USING ADDITIVE ABELIAN GROUPS I

  • Choi, Seul-Hee
    • 호남수학학술지
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    • 제31권3호
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    • pp.407-419
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    • 2009
  • The simple non-associative algebra $N(e^{A_S},q,n,t)_k$ and its simple sub-algebras are defined in the papers [1], [3], [4], [5], [6], [12]. We define the non-associative algebra $\overline{WN_{(g_n,\mathfrak{U}),m,s_B}}$ and its antisymmetrized algebra $\overline{WN_{(g_n,\mathfrak{U}),m,s_B}}$. We also prove that the algebras are simple in this work. There are various papers on finding all the derivations of an associative algebra, a Lie algebra, and a non-associative algebra (see [3], [5], [6], [9], [12], [14], [15]). We also find all the derivations $Der_{anti}(WN(e^{{\pm}x^r},0,2)_B^-)$ of te antisymmetrized algebra $WN(e^{{\pm}x^r}0,2)_B^-$ and every derivation of the algebra is outer in this paper.

FDI observer design for linear system via STWS

  • Ahn, Pius;Kim, Min-Hyung;Kim, Jae-Il;Lee, Moon-Hee;Ahn, Doo-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1423-1427
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    • 1997
  • This paper deals with an algebraic approach to FDI observer design procedure. In general, FDI observer can be designed a sLuenbrger-type and equations for unknown input and actuator fault estimation include derivation of system outputs which is not available from the measurement directly. At this point, this paper presents STWS approach which can convert the derivation procedure to the recursive algebraic form by using its orthogonality and disjointess to alleviate such problems.

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