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검색결과 14,722건 처리시간 0.035초

ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

  • Deng, Xin;Wang, Xuejun
    • 대한수학회지
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    • 제57권3호
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    • pp.553-570
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    • 2020
  • In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise extended independent random variables under sub-linear expectations in Peng's framework. The results obtained in this paper extend the corresponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.

COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES

  • Hu, Tien-Chung;Sung, Soo-Hak;Volodin, Andrei
    • 대한수학회논문집
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    • 제18권2호
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    • pp.375-383
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    • 2003
  • Under some conditions on an array of rowwise independent random variables, Hu et at. (1998) obtained a complete convergence result for law of large numbers with rate {a$\_$n/, n $\geq$ 1} which is bounded away from zero. We investigate the general situation for rate {a$\_$n/, n $\geq$ 1) under similar conditions.

ALMOST SURE AND COMPLETE CONSISTENCY OF THE ESTIMATOR IN NONPARAMETRIC REGRESSION MODEL FOR NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES

  • Ding, Liwang
    • 대한수학회보
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    • 제57권1호
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    • pp.51-68
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    • 2020
  • In this paper, the author considers the nonparametric regression model with negatively orthant dependent random variables. The wavelet procedures are developed to estimate the regression function. For the wavelet estimator of unknown function g(·), the almost sure consistency is derived and the complete consistency is established under the mild conditions. Our results generalize and improve some known ones for independent random variables and dependent random variables.

Articulatory and Acoustic Evidence for the Complete Neutralization of Manner of Articulation in Korean Affrication

  • Kim, Hyun-Soon
    • 음성과학
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    • 제5권2호
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    • pp.27-40
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    • 1999
  • This study is concerned with articulatory and acoustic experiments about the change of the stop /t/ into its counterpart affricate before derivational and inflectional suffixes beginning with /(h)i/. The present phonetic results show that the stop consonant is articulatorily and acoustically completely neutralized into the underlying plain affricate. Thus this study provides another instance of complete neutralization of manner of articulation in Korean in addition to Kim and Jongman (1996).

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거리측정척도에 의한 대안들의 전체적 유사순서 결정 (Complete Preordering of Alternatives by Metric Distance Meausre)

  • 김영겸;이강인;김진용;이진규
    • 한국경영과학회지
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    • 제19권1호
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    • pp.41-52
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    • 1994
  • Imprecision of evaluation or lack of prior information about preference can be an obstacle for decision maker in representing his strict preference. Therefore, fuzziness of preference can take place, and in addition, intransitivity or incomparability of preference becomes the critical difficulty in making complete preorder of alternatives. In order to get better solution and to improve practical usufulness, MCDM should be established as a pseudo-criterion model that include fuzzy preference. In this paper, we suggest a pseudo-criterion model that can make complete preorder of alternatives by metric distance measure.

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Optimal Block Designs for Complete Diallel Cross

  • Park, Kuey-Chung;Son, Young-Nam
    • Communications for Statistical Applications and Methods
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    • 제8권1호
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    • pp.65-71
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    • 2001
  • In this paper, optimal block designs for complete diallel crosses are proposed. These optimal block designs are constructed by using triangular partially balanced incomplete designs derived from symmetric balanced incomplete block designs. Also, it is shown that block designs for complete dialle crosses derived from complementary designs of triangular designs are optimal block designs.

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COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS

  • Qi, Feng;Zhang, Xiao-Jing
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제21권2호
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    • pp.141-145
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    • 2014
  • In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function ${\psi}^{\prime}(t)$ on (0, ${\infty}$).

COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE ASYMPTOTICALLY NEGATIVELY ASSOCIATED RANDOM VARIABLES

  • Kim, Hyun-Chull
    • 충청수학회지
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    • 제30권4호
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    • pp.411-422
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    • 2017
  • Let {$X_{ni}$, $i{\geq}1$, $n{\geq}1$} be an array of rowwise asymptotically negatively associated random variables and {$a_{ni}$, $i{\geq}1$, $n{\geq}1$} an array of constants. Some results concerning complete convergence of weighted sums ${\sum}_{i=1}^{n}a_{ni}X_{ni}$ are obtained. They generalize some previous known results for arrays of rowwise negatively associated random variables to the asymptotically negative association case.

연결 숫자음 인식기 학습용 음성DB 녹음을 위한 최적의 대본 작성 (The Optimal and Complete Prompts Lists for Connected Spoken Digit Speech Corpus)

  • 유하진
    • 대한음성학회:학술대회논문집
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    • 대한음성학회 2003년도 5월 학술대회지
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    • pp.131-134
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    • 2003
  • This paper describes an efficient algorithm to generate compact and complete prompts lists for connected spoken digits database. In building a connected spoken digit recognizer, we have to acquire speech data in various contexts. However, in many speech databases the lists are made by using random generators. We provide an efficient algorithm that can generate compact and complete lists of digits in various contexts. This paper includes the proof of optimality and completeness of the algorithm.

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A METRIC ON NORMED ALMOST LINEAR SPACES

  • Lee, Sang-Han;Jun, Kil-Woung
    • 대한수학회보
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    • 제36권2호
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    • pp.379-388
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    • 1999
  • In this paper, we introduce a semi-metric on a normed almost linear space X via functional. And we prove that a normed almost linear space X is complete if and only if $V_X$ and $W_X$ are complete when X splits as X=$W_X$ + $V_X$. Also, we prove that the dual space $X^\ast$ of a normed almost linear space X is complete.

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