• Title/Summary/Keyword: limiting behavior

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LIMITING BEHAVIOR OF THE MAXIMUM OF THE PARTIAL SUM FOR NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES

  • KIM, HYUN-CHULL
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.3
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    • pp.409-417
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    • 2015
  • In this paper, some $L_p$-convergences and complete convergences of the maximum of the partial sum for negatively superadditive dependent random variables are obtained. The proofs of the results are based on a new Rosenthal type inequality concerning negatively superadditive dependent random variables.

Extreme Value of Moving Average Processes with Negative Binomial Noise Distribution

  • Park, You-Sung
    • Journal of the Korean Statistical Society
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    • v.21 no.2
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    • pp.167-177
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    • 1992
  • In this paper, we investigate the limiting distribution of $M_n = max (X_1, X-2, \cdots, X_n)$ in the infinite moving average process ${X_t = \sum c_i Z_{t-i}}$ generated from i.i.d. negative binomial variables $Z_i$'s. While no limit result is possible, nonetheless asymptotic bounds are derived. We also present the tail behavior of $X_t$, i.e., weighted sum of i.i.d. random variables. This continues a study made by Rootzen (1986) for discrete innovation sequences.

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A Study on the Phenomenon of Natural Zoning under COL Storage Policy

  • Lim, Sang-Gyu
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.1
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    • pp.127-134
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    • 1992
  • In this paper, we first examine the stochastic behavior associated with storage/retrieval process under COL policy, and give analytical results such as the limiting distributions of the number of items in the system and the expected travel distance. We also investigate the phenomenon of natural zoning, that is, the tendency of similar items to group themselves together, when two types of items with different turnover rates are stored and retrieved. Natural zoning refers to this grouping occurring under the seemingly unbiased policy COL. We show that zoning can occur naturally with batch arrivals to the storage system.

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A Cluster validity Index for Fuzzy Clustering

  • Lee, Haiyoung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.6
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    • pp.621-626
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    • 1999
  • In this paper a new cluster validation index which is heuristic but able to eliminate the monotonically decreasing tendency occurring in which the number of cluster c gets very large and close to the number of data points n is proposed. We review the FCM algorithm and some conventional cluster validity criteria discuss on the limiting behavior of the proposed validity index and provide some numerical examples showing the effectiveness of the proposed cluster validity index.

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The Uniform Law of Large Numbers for the Baker Transformation

  • Bae, Jong-Sig;Hwang, Chang-Ha;Shim, Joo-Yong
    • Communications for Statistical Applications and Methods
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    • v.16 no.1
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    • pp.157-162
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    • 2009
  • The baker transformation is an ergodic transformation defined on the half open unit square. This paper considers the limiting behavior of the partial sum process of a martingale sequence constructed from the baker transformation. We get the uniform law of large numbers for the baker transformation.

The study on the Electrical Property of the Fuse Element Notch (휴즈엘리먼트의 노치형태에 따른 전기적 특성 연구)

  • Lee, Sei-Hyun;Lee, Byung-Sung;Han, Sang-Ok;Kim, Jong-Suk;Lee, Deok-Chool
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.1153-1155
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    • 1993
  • This paper presents some experimental result of current limiting, fusing and short circuit interruption behavior by notch construction of thin copper film $35{\mu}m$ on epoxy substrate. A fuse-link having elements of copper film provided high-precision small holes by photo eatching process.

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A Study on Outdoor Behavior and Satisfaction of Children by the Physical Character of Outdoor Space of Housing Area in Daegu (I. 주거지 외부공간의 물리적 특성에 따른 아동의 외부활동 행태 및 만족도에 관한 연구 - 대구광역시 택지개발지구를 중심으로 -)

  • Kim, Myo-Jung;Kim, Soo-Young
    • Journal of the Korean housing association
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    • v.17 no.5
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    • pp.169-178
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    • 2006
  • The purpose of this study is to provide the guidelines for housing area that consider the children's outdoor behavior. This study was complemented the limit of study method of the previous studies limiting the subject to play space in APT. So, this study was progressed the analyzation of physical characters of outdoor spaces, the observation of children's activities behavior, and the survey of children's opinion and satisfaction. Especially, 2 objective housing areas of this study were selected the deferent areas. The deferents were the structure of street, the location shape of parks, and the physical characters(accessibility, network etc.). Finally, founding on the result of this study, the 7 guidelines of housing area for children were presented : play space, park & green space, space of around the education facilities, space of around the commercial facilities, street space, square, and parking lot. This study have means that expand the objective range and use the variety study methods.

A Study on the Development of Force Limiting Devices(FLD) which Induce Yielding before Elastic Buckling (좌굴전 항복유도 장치(FLD) 개발에 관한 연구)

  • Kim, Cheol Hwan;Chae, Won Tak;Oh, Young Suk;Kim, Chae Yeong
    • Journal of Korean Society of Steel Construction
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    • v.25 no.3
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    • pp.279-287
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    • 2013
  • The steel members are applied to high rise building since they have high strength compare to the concrete member. On the other hand, the elastic buckling is likely to occur in steel member because of their small section. When the elastic buckling occur, the steel structure lose a load carrying capacity. The steel frame would be unstable due to a rapid decline in strength by buckling. The purpose of this study is the development of FLD(Force Limiting Device) to prevent a elastic buckling for a slender member. Further, the behavior of steel structures with FLD would be stable by high energy absorption capacity. The proposed type of FLD is the type of out-of-plane resistance. In this study, member test and FEM analysis for proposed type were performed. The test parameters are thickness and gradient angle of out-of-plane plate. The proposed type may be effective method for FLD.

High-Voltage 4H-SiC pn diode with Field Limiting Ring Termination (Field Limiting Ring termination을 이용한 고전압 4H-SiC pn 다이오드)

  • Song, G.H.;Bahng, W.;Kim, H.W.;Kim, N.K.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.07a
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    • pp.396-399
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    • 2003
  • 4H-SiC un diodes with field limiting rings(FLRs) were fabricated and characterized. The dependences of reverse breakdown voltage on the number of FLRs, the distance between p-base main junction and first FLR, and activation temperatures, were investigated. Al and B ions were implanted and activated at high temperature to form p-base region and p+ region in the n-epilayer. We have obtained up to 1782V of reverse breakdown voltage in the un diode with two FLRs on loom thick epilayer. The differential on-resistances of the fabricated diode are $5.3m{\Omega}cm^2$ at $100A/cm^2$ and $2.7m{\Omega}cm^2$ at $1kA/cm^2$, respectively. All pn diodes with FLRs have higher avalanche breakdown voltages than that of diode without an FLR. Regardless of the activation temperature, the un diode with a FLR located 5um apart from main junction has the highest mean breakdown voltage around 1600V among the diodes with one ring. On the other hand, the pn diode with two rings showed different behavior with activation temperature. It reveals that high voltage SiC pn diodes with low on-resistance can be fabricated by using the FLR edge termination.

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Characteristics of superconducting fault current limiters with various pattern shape (초전도 전류제한기의 패턴형상별 특성)

  • Choi, H.S.;Chung, H.S.;Choi, C.J.;Lee, S.I.;Chung, S.B.;Oh, G.K.;Lim, S.H.;Han, B.S.;Chung, D.C.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.07a
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    • pp.529-532
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    • 2003
  • Quench behavior of resistive superconducting fault current limiters (SFCLs) with various pattern shapes was investigated. The pattern shapes employed were meander, bi-spiral, and spiral shapes of identical line width, gap and margin. SFCLs were fabricated from YBCO thin films grown on two-inch diameter $Al_2O_3$ substrates under the same conditions. Resistance rise of current limiting elements was low at a spiral shape before the whole quench completion, which may act as a disadvantage for simultaneous quench in serial connection between current limiting elements, but the temperature tended to have similar values at higher voltages. On the other hand, bi-spiral shape was severe at insulation level between current limiting lines. When these aspects were considered, we concluded that a meander shape was appropriate to design for a resistive SFCL based on thin films except the concentration of electric field at edge areas of strip lines.

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