• Title/Summary/Keyword: Regularity Distribution

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Optimal Rates of Convergence in Tensor Sobolev Space Regression

  • Koo, Ja-Yong
    • Journal of the Korean Statistical Society
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    • v.21 no.2
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    • pp.153-166
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    • 1992
  • Consider an unknown regression function f of the response Y on a d-dimensional measurement variable X. It is assumed that f belongs to a tensor Sobolev space. Let T denote a differential operator. Let $\hat{T}_n$ denote an estimator of T(f) based on a random sample of size n from the distribution of (X, Y), and let $\Vert \hat{T}_n - T(f) \Vert_2$ be the usual $L_2$ norm of the restriction of $\hat{T}_n - T(f)$ to a subset of $R^d$. Under appropriate regularity conditions, the optimal rate of convergence for $\Vert \hat{T}_n - T(f) \Vert_2$ is discussed.

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A Study on a One-step Pairwise GM-estimator in Linear Models

  • Song, Moon-Sup;Kim, Jin-Ho
    • Journal of the Korean Statistical Society
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    • v.26 no.1
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    • pp.1-22
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    • 1997
  • In the linear regression model $y_{i}$ = .alpha. $x_{i}$ $^{T}$ .beta. + .epsilon.$_{i}$ , i = 1,2,...,n, the weighted pairwise absolute deviation (WPAD) estimator was defined by minimizing the dispersion function D (.beta.) = .sum..sum.$_{{i $w_{{ij}}$$\mid$ $r_{j}$ (.beta.) $r_{i}$ (.beta.)$\mid$, where $r_{i}$ (.beta.)'s are residuals and $w_{{ij}}$'s are weights. This estimator can achive bounded total influence with positive breakdown by choice of weights $w_{{ij}}$. In this paper, we consider a more general type of dispersion function than that of D(.beta.) and propose a pairwise GM-estimator based on the dispersion function. Under some regularity conditions, the proposed estimator has a bounded influence function, a high breakdown point, and asymptotically a normal distribution. Results of a small-sample Monte Carlo study are also presented. presented.

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The Cusum of Squares Test for Variance Changes in Infinite Order Autoregressive Models

  • Park, Siyun;Lee, Sangyeol;Jongwoo Jeon
    • Journal of the Korean Statistical Society
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    • v.29 no.3
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    • pp.351-360
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    • 2000
  • This paper considers the problem of testing a variance change in infinite order autoregressive models. A cusum of squares test based on the residuals from an AR(q) model is constructed analogous to Inclan and Tiao (1994)'s test statistic, where q is a sequence of positive integers diverging to $\infty$. It is shown that under regularity conditions the limiting distribution of the test statistic is the sup of a standard Brownian bridge. Simulation results are given to illustrate the performance of the test.

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Capacitor Placement in Radial Distribution Systems Using Chaotic Search Algorithm (방사상 배전계통의 커패시터 설치를 위한 카오스 탐색알고리즘)

  • Rhee, Sang-Bong;Kim, Kyu-Ho;You, Seok-Ku
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.124-126
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    • 2002
  • The general capacitor placement problem is a combinatorial optimization problem having an objective function composed of power losses and capacitor installation costs subject to bus voltage constraints. In this paper, the method employing the chaos search algorithm is proposed to solve optimal capacitor placement problem with reducing computational effort and enhancing optimality of the solution. Chaos method in optimization problem searches the global optimal solution on the regularity of chaotic motions and easily escapes from local or near optimal solution than stochastic optimization algorithms. The chaos optimization method is tested on 9 buses and 69 buses system to illustrate the effectiveness of the proposed method.

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A Robust Wald-Ttype Test in Linear Regression

  • Nam, Ho-Soo
    • Journal of the Korean Statistical Society
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    • v.26 no.4
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    • pp.507-520
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    • 1997
  • In this paper we propose a robust Wald-type test which is based on an efficient Mallows-type one-step GM-estimator. The proposed estimator based on the weight function of Song, Park and Nam (1996) has a bounded influence function and a high breakdown point. Under some regularity conditions, we compute the finite-sample breakdown point, and drive asymptotic normality of the proposed estimator. The level and power breakdown points, influence function and asymptotic distribution of the proposed test statistic are main points of this paper. To compare the performance of the proposed test with other tests, we perform some Monte Carlo simulations.

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Numerical Simulation and Experiment of Pressure Pulsation in Kaplan Turbine

  • Yang, Wei;Wu, Shangfeng;Liu, Shuhong;Wu, Yulin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.729-731
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    • 2008
  • Three-dimensional unsteady simulation using RNG $\kappa-\varepsilon$ turbulence model is used in full flow passage of model Kaplan turbine. Then the pressure pulsation is obtained. Monitoring data of pressure pulsation in the turbine is obtained through experiment and is compared with the numerical simulation. And a good coherence is shown between the simulation and the experiment. Then the regularity of the pressure pulsation s distribution and transmission in the turbine is discussed in detail.

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Comparative Analysis on the Types of Representation to Communicate in Elementary Science and Mathematics Textbooks - In Case of the Sixth Grade 1st Semester - (초등 과학·수학 교과서의 의사소통 표현 방식에 따른 유형 비교 분석 - 6학년 1학기를 중심으로 -)

  • Jang, Mikyung;Shin, Youngjoon
    • Journal of Korean Elementary Science Education
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    • v.36 no.3
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    • pp.256-272
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    • 2017
  • The purpose of this research is to study and learn more features how this type of distribution for communication in $6^{th}$ grade first semester elementary science and mathematics according to communicative expression by 2009 revised curriculum. For this study, based on an analysis standard presented in previous research on the types of communication. The results of this research are as follows. First, because the mathematics presents the number of ways to communicate twice more than science, mathematics go through with much more problems to solve than science. Second, in mathematics, spoken method and written method have similar proportion, less in physical activity method. Third, Science showed balanced proportion among four areas; earth, life, energy, and material. On the other hand, mathematics only showed small numbers in the area of geometry but similar numbers in number and operations, regularity, measurement. Fourth, there is no common feature or relevance about communicative approach for convergence thinking in 2009 revised curriculum, it seems that it doesn't consider it as a revised.

An Organizational Diagnostic Model for Food Service Firms Using the Delphi Technique (외식기업 조직진단모형 개발에 관한 연구 - 델파이 기법으로 -)

  • Paik, Yu-Tae;Choi, Serin;Choi, Kyu-Wan
    • Journal of the Korean Society of Food Culture
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    • v.28 no.3
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    • pp.282-292
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    • 2013
  • The purpose of this study is to identify a suitable organizational diagnostic model for analyzing the management efficiency of food service firms. We used the three-iteration Delphi technique on a panel of 19 business employees, 7 industry experts, and 4 employees in the food service industry. A total of 36 assessment indicators were developed through this panel, with numerous major findings. First, it is important to evaluate the leadership qualities of employees in terms of their motivation and competency. Second, it is important to evaluate the ability of employees to interface well with other employees. Third, it is important to evaluate and manage the brand image recognized by customers. Fourth, it is important to evaluate the fairness and regularity of the rewards given for an excellent job performance. Fifth, it is important to evaluate the level of communication and information distribution in the organizational culture. Last, but not least, it is important to evaluate the transparency and fairness of an organization in its human resource management (HRM) and the efficiency of its organizational structure. In conclusion, this study empirically shows how food service firms can develop an organizational diagnostic model to increase their managerial efficiency.

The Precariousness Employment in the Eurasian Economic Space: Measurement Problems, Factors and Main Forms of Development

  • Kaliyeva, Saule A.;Alzhanova, Farida G.;Meldakhanova, Marziya K.;Sadykov, Ilyas М.;Adilkhanov, Murat А.
    • The Journal of Asian Finance, Economics and Business
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    • v.5 no.3
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    • pp.157-167
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    • 2018
  • This research aims to generalize the conceptual basis of precariousness of employment, study the factors and scale of unsustainable of employment in the countries of the Eurasian Economic Union (EAEU). The concept of precariousness of employment is formed in social and economic studies about 40 years ago, but objective and subjective conditions and forms of unsustainable employment existed before. This study proposes a classification of forms of precariousness of employment on 16 criteria: the duration and timing of agreements, contract terms, the nature of income; the degree of labor autonomy; the level of formality; the level of openness; the level of vulnerability; the conditions of growth of qualification; the level of flexibility; the level of stability; regularity; the severity of the danger of work; in relation to the workplace; the quality of employment, the level of social security. In this research highlighted factors (globalization, demography, migration, structure factors, shadow and informal economy, social development and living standards, unemployment), and systematized certain trends of precariousness of employment, channels and means, forms of manifestation. The empirical analysis identified of the labor potential of the Eurasian countries and new quantitative estimates of the levels of unsustainable employment in the Eurasian Economic Space.

Autocovariance based estimation in the linear regression model (선형회귀 모형에서 자기공분산 기반 추정)

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.5
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    • pp.839-847
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    • 2011
  • In this study, we derive an estimator based on autocovariance for the regression coefficients vector in the multiple linear regression model. This method is suggested by Park (2009), and although this method does not seem to be intuitively attractive, this estimator is unbiased for the regression coefficients vector. When the vectors of exploratory variables satisfy some regularity conditions, under mild conditions which are satisfied when errors are from autoregressive and moving average models, this estimator has asymptotically the same distribution as the least squares estimator and also converges in probability to the regression coefficients vector. Finally we provide a simulation study that the forementioned theoretical results hold for small sample cases.