• Title/Summary/Keyword: Asymptotic

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Asymptotic Inference on the Odds Ratio via Saddlepoint Method (안부점근사를 이용한 승산비에 대한 점근적 추론)

  • Na, Jong-Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.29-36
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    • 1999
  • We propose a new method of asymptotic inference on the odds ratio (or cross-product ratio) in $2{\times}2$ contingency table. Saddlepoint approximations to the conditional tail probability we used in this procedure. We assess the accuracy of the suggested method by comparing with the exact one. To obtain the exact values, we need very complicated calculations containing the cumulative probabilities of non-central hypergeometric distribution. The suggested method in this paper is very accurate even for small or moderate sample sizes as well as simple and easy to use. Example with a real data is also considered.

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Analysis of the noises of maneuvering vessels and design of systems which can generate asymptotic noises (기동함정의 소음분석 및 유사 방사음 발생기의 설계)

  • 윤병우;송종관;신종욱
    • Journal of the Institute of Convergence Signal Processing
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    • v.5 no.2
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    • pp.106-110
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    • 2004
  • The noise characteristics of the submarines and vessels are composed of tonal signals and background noises. Tonal signals are from the revolution of the motors or engines, and background noises are from the generation and disappearing of the bubbles around the vessels. We analyze the noises from maneuvering underwater vessels with ATW algorithm. We design broadband asymptotic noise generator using Hilbert transform and design the system which can generate asymptotic noise with sum of generated background noise and synthesized tonal signals. This system can be used as a cheating system from the torpedo shacks.

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Waypoint Tracking of Large Diameter Unmanned Underwater Vehicles with X-stern Configuration (X-stern 배열을 가진 대형급 무인잠수정의 경로점 추적)

  • Kim, Do Wan;Kim, Moon Hwan;Park, Ho-Gyu;Kim, Tae-Yeong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.2
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    • pp.387-393
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    • 2017
  • This paper focuses on a horizontal waypoint tracking and a speed control of large diameter unmanned underwater vehicles (LDUUVs) with X-stern configuration plane. The concerned design problem is converted into an asymptotic stabilization of the error dynamics with respect to the desired yaw angle and surge speed. It is proved that the error dynamics under the proposed control scheme based on the linear control and the feedback linearization can be considered as a cascade system; the cascade system is asymptotically stable if its nominal systems are so. This stability connection enables to separately deal with the waypoint tracking problem and the speed control one. By using the sector nonlinearity, the nominal system with nonlinearities is modeled as a polytopic linear parameter varying (LPV) system with parametric uncertainties. Then, sufficient linear matrix inequality (LMI) conditions for its asymptotic stabilizability are derived in the sense of Lyapunov stability criterion. An example is given to show the validity of the proposed methodology.

Outage Probability Analysis of Multiuser MISO Systems Exploiting Joint Spatial Diversity and Multiuser Diversity with Outdated Feedback

  • Diao, Chunjuan;Xu, Wei;Chen, Ming;Wu, Bingyang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.5 no.9
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    • pp.1573-1595
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    • 2011
  • In this paper, the outage performance of multiuser multiple-input single-output (MISO) systems exploiting joint spatial and multiuser diversities is investigated for Rayleigh fading channels with outdated feedback. First, we derive closed-form exact outage probabilities for the joint diversity schemes that combine user scheduling with different spatial diversity techniques, including: 1) transmit maximum-ratio combining (TMRC); 2) transmit antenna selection (TAS); and 3) orthogonal space-time block coding (OSTBC). Then the asymptotic outage probabilities are analyzed to gain more insights into the effect of feedback delay. It is observed that with outdated feedback, the asymptotic diversity order of the multiuser OSTBC (M-OSTBC) scheme is equal to the number of transmit antennas at the base station, while that of the multiuser TMRC (M-TMRC) and the multiuser TAS (M-TAS) schemes reduce to one. Further by comparing the asymptotic outage probabilities, it is found that the M-TMRC scheme outperforms the M-TAS scheme, and the M-OSTBC scheme can perform best in the outage regime of practical interest when the feedback delay is large. Theoretical analysis is verified by simulation results.

Scattering analysis of curved FSS using Floquet harmonics and asymptotic waveform evaluation technique

  • Jeong, Yi-Ru;Hong, Ic-Pyo;Chun, Heoung-Jae;Park, Yong Bae;Kim, Youn-Jae;Yook, Jong-Gwan
    • Steel and Composite Structures
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    • v.17 no.5
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    • pp.561-572
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    • 2014
  • In this paper, we present the scattering characteristics of infinite and finite array using method of moment (MoM) with Floquet harmonics and asymptotic waveform evaluation (AWE) technique. First, infinite cylindrical dipole array is analyzed using the MoM with entire domain basis function and cylindrical Floquet harmonics. To provide the validity of results, we fabricated the cylindrical dipole array and measured the transmission characteristics. The results show good agreements. Second, we analyzed the scattering characteristics of finite array. A large simulation time is needed to obtain the scattering characteristics of finite array over wide frequency range because Floquet harmonics can't be applied. So, we used the MoM with AWE technique using Taylor series and Pade approximation to overcome the shortcomings of conventional MoM. We calculated the radar cross section (RCS) as scattering characteristics using the proposed method in this paper and the conventional MoM for finite planar slot array, finite spherical slot array, and finite cylindrical dipole array, respectively. The compared results agree well and show that the proposed method in this paper is good for electromagnetic analysis of finite FSS.

On the asymptotic correlationship for some process capability indices Ĉp, Ĉpk and Ĉpm under bivariate normal distribution (이변량 정규분포 하에서 공정능력지수에 대한 점근적 상관관계에 관한 연구)

  • Cho, Joong-Jae;Park, Hyo-Il
    • The Korean Journal of Applied Statistics
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    • v.29 no.2
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    • pp.301-308
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    • 2016
  • The process capability index is used to determine whether a production process is capable of producing items within a specified tolerance. Some process capability indices $C_p$, $C_{pk}$ and $C_{pm}$ have been of particular interest as useful management tools for tracking process performance. Most evaluations on process capability indices focus on statistical estimation and test of hypothesis. It is necessary to investigate their asymptotic correlationship among basic estimators ${\hat{C}}_p$, ${\hat{C}}_{pk}$ and ${\hat{C}}_{pm}$ of process capability indices $C_p$, $C_{pk}$ and $C_{pm}$. In this paper, we study their asymptotic correlationship for three process capability indices ${\hat{C}}_p$, ${\hat{C}}_{pk}$ and ${\hat{C}}_{pm}$ under bivariate normal distribution BN(${\mu}_x,{\mu}_y,{\sigma}^2_x,{\sigma}^2_y,{\rho}$). With some nonnormal processes, the asymptotic correlation coefficient of any two respective process capability index estimators could be established.