• Title/Summary/Keyword: Normal process

Search Result 2,863, Processing Time 0.03 seconds

STRONG CONVERGENCE OF HYBRID METHOD FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SEMIGROUPS

  • Liu, Li;Wang, Lijing;Su, Yongfu
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.3_4
    • /
    • pp.669-680
    • /
    • 2011
  • In this paper, some strong convergence theorems are obtained for hybrid method for modified Ishikawa iteration process of asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups in Hilbert spaces. The results presented in this article generalize and improve results of Tae-Hwa Kim and Hong-Kun Xu and others. The convergence rate of the iteration process presented in this article is faster than hybrid method of Tae-Hwa Kim and Hong-Kun Xu and others.

The Limit Distribution and Power of a Test for Bivariate Normality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
    • /
    • v.9 no.1
    • /
    • pp.187-196
    • /
    • 2002
  • Testing for normality has always been a center of practical and theoretical interest in statistical research. In this paper a test statistic for bivariate normality is proposed. The underlying idea is to investigate all the possible linear combinations that reduce to the standard normal distribution under the null hypothesis and compare the order statistics of them with the theoretical normal quantiles. The suggested statistic is invariant with respect to nonsingular matrix multiplication and vector addition. We show that the limit distribution of an approximation to the suggested statistic is represented as the supremum over an index set of the integral of a suitable Gaussian Process. We also simulate the null distribution of the statistic and give some critical values of the distribution and power results.

Bayesian Multiple Comparisons for Normal Variances

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
    • /
    • v.29 no.2
    • /
    • pp.155-168
    • /
    • 2000
  • Regarding to multiple comparison problem (MCP) of k normal population variances, we suggest a Bayesian method for calculating posterior probabilities for various hypotheses of equality among population variances. This leads to a simple method for obtaining pairwise comparisons of variances in a statistical experiment with a partition on the parameter space induced by equality and inequality relationships among the variances. The method is derived from the fact that certain features of the hierarchical nonparametric family of Dirichlet process priors, in general, make it amenable to solving the MCP and estimating the posterior probabilities by means of posterior simulation, the Gibbs sampling. Two examples are illustrated for the method. For these examples, the method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison.

  • PDF

Rigid-Plastic Finite Element Analysis of Anisotropic Sheet Metal Forming Processes by using Continuum Elements (연속체요소를 이용한 이방성 박판재료 성형공정의 강소성 유한요소해석)

  • 이동우;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 1997.10a
    • /
    • pp.24-27
    • /
    • 1997
  • In the present work, rigid-plastic continuum elements employing the shape change and anisotropic effects are derived for the purpose of applying more realistic blankholding force condition in three-dimensional finite element analysis of sheet metal forming process. In order to incorporate the effect of shape change effectively in the derivation of finite element equation using continuum element for sheet metal forming, the convected coordinate system is introduced, rendering the analysis more rigorous and accurate. The formulation is extended to cover the orthotropic material using Hill's quadratic yield function. For the purpose of applying more realistic blankholding force condition, distributed normal and associated frictional tangent forces are employed in the blankholder, which is pressed normal and associated frictional tangent forces are employed in the blankholder, which is pressed against the flange until the resultant contact force with the blank reaches the prescribed value. As an example of sheet metal forming process coupling the effect of planar anisotropy and that of blankholding boundary condition, circular cup deep drawing has been analyzed considering both effects together.

  • PDF

Study on the Design Methodology of Constant Velocity Joints for Passenger Cars using DOE (실험계획법을 활용한 승용차용 등속조인트 설계기법 연구)

  • Jeong, Chang-Hyun;Jung, Do-Hyun;Bae, Won-Rak
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.16 no.6
    • /
    • pp.121-133
    • /
    • 2008
  • We presented design methodology of constant velocity joint for passenger cars using design of experiment. On the basis of contact normal stress of internal components of constant velocity joints, we performed a sensitivity analysis of several design parameters. And then we performed robust design and optimization design process. As a result, we could find robust design and also propose the optimized design. Presented design process would be very helpful for engineers who are suffer for new constant velocity joint design.

Research Results and Trends Analysis on Economic Design of Control Charts for Non-normal Process (비정규 공정에서 관리도의 경제적 설계에 대한 연구동향 분석)

  • Kim, Jong-Gurl;Kim, Chang-Su;Um, Sang-Joon;Kim, Hyung-Man;Choi, Seong-Won
    • Proceedings of the Safety Management and Science Conference
    • /
    • 2013.11a
    • /
    • pp.161-168
    • /
    • 2013
  • 지난 몇 십년동안 전 세계적으로 제조기술 분야의 급속한 성장으로 대부분의 제조업에서 눈부실만한 품질향상과 생산성 극대화를 이루어 왔다. 하지만 현재 제조기술 분야는 새로운 문제에 직면하고 있다. 실제 현장에서 관리하고자하는 품질특성은 정규분포를 따르지 않는 경우가 많은데, 대부분의 통계적 공정관리기술체계가 정규분포를 기반으로 하고 있다는 것이다. 이러한 이유로 비정규 공정에서 극소불량관리, 미세변동관리에 대한 연구가 시급한 실정이다. 하지만 비정규 분포를 통계적으로만 해석하고 설계하기 위해서는 현실적으로 한계가 있으며, 경제적 설계의 접근방법이 또 하나의 좋은 대안이 될 수 있다. 본 논문에서는 비정규 공정에서 관리도의 경제적 설계를 위한 연구동향을 살펴보고 추후 연구방향에 대해 제시하고자 한다.

  • PDF

An Economic Design of a Screening and Process Monitoring Procedure for a Normal Model (정규모형하에서의 선별검사 및 공정감시 절차의 경제적 설계)

  • Kwon, Hyuck-Moo;Hong, Sung-Hoon;Lee, Min-Koo;Kim, Sang-Boo
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.26 no.3
    • /
    • pp.200-205
    • /
    • 2000
  • An economic process monitoring procedure is presented using a surrogate variable for the case where performance variable is dichotomous. Every item is inspected with a surrogate variable and determined whether it should be accepted or rejected. When an item is rejected, the previous number of consecutively accepted items is compared with a predetermined number r to decide whether there is a shift in fraction nonconforming or not. The conditional distribution of the surrogate variable given the performance variable is assumed to be normal. A cost model is constructed which includes costs of inspection, misclassification, illegal signal, undetected out-of-control state, and correction. Methods of finding the optimum number r and screening limit are provided. Numerical studies on the effects of cost coefficients are also performed.

  • PDF

The Practical use of early strength development technology for form stripping earlier than normal state in apartment (공동주택 거푸집 조기해체를 위한 조기강도 발현기술 실용화)

  • Kim, Gyu-Dong;Lee, Seung-Hoon;La, Woon;Hwang, Yin-Seong;Han, Cheon-Goo
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2004.11a
    • /
    • pp.765-768
    • /
    • 2004
  • This study reports the site application of the early strength development technology for form stripping earlier than normal state in the apartment construction. It is a method of framework rationalization and it needs the technology of early strength development concrete and 6-day cycle process. We applied the method to the apartment construction to reduce the floor construction period and to maximize the economical effect by reduction of the period of total construction. As a result, we confirmed the superior property of the early strength development of the concrete and reliable success of 6-day cycle process.

  • PDF

A study on the production process and wear life distributions of brake pads for passenger cars (승용차용 브레이크 패드의 공정분석 및 수명분포 탐색)

  • Woong, Hong-Yeon
    • Journal of the Korean Data and Information Science Society
    • /
    • v.20 no.3
    • /
    • pp.485-492
    • /
    • 2009
  • In this paper, we studied process capability analysis for brake-pad manufacturing system and considered Weibull, normal and logistic distributions for density estimation of wear life of brake pads for a passenger car with a real data. These three distributions are seem to work well. Estimated percentiles of brake pads can be used to evaluate the design criteria and customers' need for brake pads.

  • PDF

Principal Component Analysis Based Method for Effective Fault Diagnosis (주성분 분석을 이용한 효과적인 화학공정의 이상진단 모델 개발)

  • Park, Jae Yeon;Lee, Chang Jun
    • Journal of the Korean Society of Safety
    • /
    • v.29 no.4
    • /
    • pp.73-77
    • /
    • 2014
  • In the field of fault diagnosis, the deviations from normal operating conditions are monitored to identify the type of faults and find their root causes. One of the most representative methods is the statistical approaches, due to a large amount of advantages. However, ambiguous diagnosis results can be generated according to fault magnitudes, even if the same fault occurs. To tackle this issue, this work proposes principal component analysis (PCA) based method with qualitative information. The PCA model is constructed under normal operation data and the residuals from faulty conditions are calculated. The significant changes of these residuals are recorded to make the information for identifying the types of fault. This model can be employed easily and the tasks for building are smaller than these of other common approaches. The efficacy of the proposed model is illustrated in Tennessee Eastman process.