• Title/Summary/Keyword: Normal point

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Bayesian Change Point Analysis for a Sequence of Normal Observations: Application to the Winter Average Temperature in Seoul (정규확률변수 관측치열에 대한 베이지안 변화점 분석 : 서울지역 겨울철 평균기온 자료에의 적용)

  • 김경숙;손영숙
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.281-301
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    • 2004
  • In this paper we consider the change point problem in a sequence of univariate normal observations. We want to know whether there is any change point or not. In case a change point exists, we will identify its change type. Namely, it can be a mean change, a variance change, or both the mean and variance change. The intrinsic Bayes factors of Berger and Pericchi (1996, 1998) are used to find the type of optimal change model. The Gibbs sampling including the Metropolis-Hastings algorithm is used to estimate all the parameters in the change model. These methods are checked via simulation and applied to the winter average temperature data in Seoul.

A ROENTGENOCEPHALOMETRIC STUDY ON THE COUTAND'S POINT C IN NORMAL OCCLUSION FOR KOREAN ADULTS (COUTAND의 C점에 관한 한국인 성인정상교합자의 두부방사선 계측학적 연구)

  • Yang, Won-Sik
    • The Journal of the Korean dental association
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    • v.10 no.12
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    • pp.831-834
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    • 1972
  • The authors have measured and analyzed the values of Point C from roentgenocephalograms of Korean adults, 51 males and 53 females, with normal occlusion. The results were as follows. 1. The position of Point C was -4.73mm. in male and -4.74mm. in female. 2. In samples of harmonious maxillary and mandibular basal bones, the position of Point C was -4.02mm. in male, while that was -5.33mm. in female, respectively. 3. When N.F.-M.P.A. was become larger, the position of Point C was moved more upward; while M.R.P. was increased larger, it was moved more downward. 4. The position of Point C was depended on the distance form the cross point with nasal floor and mandibular plane to the points A and B.

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A REGULARIZATION INTERIOR POINT METHOD FOR SEMIDEFINITE PROGRAMMING WITH FREE VARIABLES

  • Liu, Wanxiang;Gao, Chengcai;Wang, Yiju
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1245-1256
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    • 2011
  • In this paper, we proposed a regularization interior point method for semidefinite programming with free variables which can be taken as an extension of the algorithm for standard semidefinite programming. Since an inexact search direction at each iteration is used, the computation of the designed algorithm is much less compared with the existing solution methods. The convergence analysis of the method is established under weak conditions.

NONUNIQUE COINCIDENCE POINT THEOREMS FOR ĆIRIĆ TYPE MAPPINGS

  • Guan, Feng;Kang, Shin Min;Li, Jinsong;Liu, Zeqing
    • Korean Journal of Mathematics
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    • v.15 no.1
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    • pp.39-49
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    • 2007
  • A few existence results of nonunique coincidence points for some kinds of $\acute{C}$iri$\acute{c}$ type mappings in metric and pseudocompact Tichonov spaces, respectively, are proved. The results presented in this paper extend some known results in the literature.

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MULTIPLE POSITIVE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEMS WITH IMPULSE

  • Song, Xiaohua;Zhao, Zengqin;Wang, Xin
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.875-883
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    • 2009
  • At least two positive solutions of a first-order periodic boundary value problem with impulse are obtained by establishing a new cone and the theorem of fixed point index. And at the end of this paper we give an example to illustrate the application of our main results.

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FIXED POINT THEOREMS FOR SOME CONTRACTIVE MAPPINGS OF INTEGRAL TYPE WITH w-DISTANCE

  • LIU, ZEQING;WANG, HAOYUE;LIU, NA;KANG, SHIN MIN
    • Journal of applied mathematics & informatics
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    • v.37 no.5_6
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    • pp.411-427
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    • 2019
  • The existence, uniqueness and iterative approximations of fixed points for some contractive mappings of integral type defined in complete metric spaces with w-distance are proved. Four examples are given to demonstrate that the results in this paper extend and improve some well-known results in the literature.

Optimized Low-Switching-Loss PWM and Neutral-Point Balance Control Strategy of Three-Level NPC Inverters

  • Xu, Shi-Zhou;Wang, Chun-Jie;Han, Tian-Cheng;Li, Xue-Ping;Zhu, Xiang-Yu
    • Journal of Power Electronics
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    • v.18 no.3
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    • pp.702-713
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    • 2018
  • Power loss reduction and total harmonic distortion(THD) minimization are two important goals of improving three-level inverters. In this paper, an optimized pulse width modulation (PWM) strategy that can reduce switching losses and balance the neutral point with an optional THD of three-level neutral-point-clamped inverters is proposed. An analysis of the two-level discontinuous PWM (DPWM) strategy indicates that the optimal goal of the proposed PWM strategy is to reduce switching losses to a minimum without increasing the THD compared to that of traditional SVPWMs. Thus, the analysis of the two-level DPWM strategy is introduced. Through the rational allocation of the zero vector, only two-phase switching devices are active in each sector, and their switching losses can be reduced by one-third compared with those of traditional PWM strategies. A detailed analysis of the impact of small vectors, which correspond to different zero vectors, on the neutral-point potential is conducted, and a hysteresis control method is proposed to balance the neutral point. This method is simple, does not judge the direction of midpoint currents, and can adjust the switching times of devices and the fluctuation of the neutral-point potential by changing the hysteresis loop width. Simulation and experimental results prove the effectiveness and feasibility of the proposed strategy.

Tests for Normal Mean Change with the Mean Difference

  • Kim, Jaehee;Yun, Pilkyoung
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.353-359
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    • 2003
  • This paper deals with the problem of testing mean change with one change-point with the normal random variables. We propose a test with the mean difference for change in a location parameter. A power comparison study of various change-point test statistics is performed via Monte Carlo simulation with S-plus software.

POINT TRANSVERSALS TO TRANSLATES OF A TRAPEZOID

  • Yuan, Li-Ping;Ding, Ren
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.277-284
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    • 2004
  • An m-transversal to a family of convex sets in the plane is an m-point set which intersects every members of the family. One of Grubaum's conjectures says that a planar family of translates of a convex compact set has a 3-transversal provided that any two of its members intersect. Recently the conjecture has been proved affirmatively (see [4]). In the present paper we provide a different and straightforward proof for the conjecture for the family of translates of a closed trapezoid in the plane and give several concrete 3-transversals.

COMMON FIXED POINT THEOREMS WITH APPLICATIONS TO THE SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

  • Liu, Zeqing;Liu, Min;Kim, Hyeong-Kug;Kang, Shin-Min
    • Communications of the Korean Mathematical Society
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    • v.24 no.1
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    • pp.67-83
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    • 2009
  • Several common fixed point theorems for a few contractive type mappings in complete metric spaces are established. As applications, the existence and uniqueness of common solutions for certain systems of functional equations arising in dynamic programming are discussed.