• Title/Summary/Keyword: Sequential procedure

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Asymptotic Properties of the Stopping Times in a Certain Sequential Procedure

  • Kim, Sung-Lai
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.337-347
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    • 1995
  • In the problem of some sequential estimation, the stopping times may be written in the form $N(c) = inf{n \geq n_0; n \geq c^2 S^2_n/\delta^2 (\bar{X}_n)}$ where ${s^2_n}$ and ${\bar{X}_n}$ are the sequences of sample variance and sample mean of the independently and identically distributed (i.i.d.) random variables with distribution $F_{\theta}(x), \theta \in \Theta$, respectively, and $\delta$ is either constant or any given positive real valued function. We obtain some asymptotic normality and asymptotic expectation of the N(c) in various limiting situations. Specially, uniform asymptotic normality and uniform asymptotic expectation of the N(c) are given.

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SEQUENTIAL ESTIMATION OF THE MEAN VECTOR WITH BETA-PROTECTION IN THE MULTIVARIATE DISTRIBUTION

  • Kim, Sung Lai;Song, Hae In;Kim, Min Soo;Jang, Yu Seon
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.1
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    • pp.29-36
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    • 2013
  • In the treatment of the sequential beta-protection procedure, we define the reasonable stopping time and investigate that for the stopping time Wijsman's requirements, coverage probability and beta-protection conditions, are satisfied in the estimation for the mean vector ${\mu}$ by the sample from the multivariate normal distributed population with unknown mean vector ${\mu}$ and a positive definite variance-covariance matrix ${\Sigma}$.

A Construction Theory of Sequential Multiple-Valued Logic Circuit by Matrices Operations (행열연산에 의한 순서다치논리회로 구성이론)

  • Kim, Heung Soo;Kang, Sung Su
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.4
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    • pp.460-465
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    • 1986
  • In this paper, a method for constructing of the sequential multiple-valued logic circuits over Galois field GF(px) is proposed. First, we derive the Talyor series over Galois field and the unique matrices which accords with the number of the element over the finite field, and we constdruct sequential multiple-valued logic circuits using these matrices. Computational procedure for traditional polynomial expansion can be reduced by using this method. Also, single and multi-input circuits can be easily implemented.

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Asymptotic properties of monitoring procedure for parameter change in heteroscedastic time series models (이분산 시계열 모형에서 모수의 변화에 대한 모니터링 절차의 점근 성질)

  • Kim, Soo Taek;Oh, Hae June
    • The Korean Journal of Applied Statistics
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    • v.33 no.4
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    • pp.467-482
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    • 2020
  • We investigate a monitoring procedure for the early detection of parameter changes in location-scale time series models. We introduce a detector for monitoring procedure based on modified residual cumulative sum (CUSUM). The asymptotic properties of the monitoring procedure are established under the null and alternative hypotheses. Simulation results and data analysis are also provided for illustration.

A Bayesian Burn-in Procedure Guaranteeing Outgoing Quality of a Product (출검품질 보증을 위한 베이지안 번인시험방식 설계)

  • Kwon, Young-Il
    • Journal of Korean Society for Quality Management
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    • v.28 no.4
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    • pp.67-74
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    • 2000
  • A Bayesian burn-in procedure is developed for imited failure populations in which defective items fail soon after they are put in operation and non-defective ones never fail during he technical life of the items. Sequential schemes guaranteeing pre-specified outgoing quality of a product are derived based on prior information on the quality of a product and accumulated failure information up to the decision point. A numerical example is also provided.

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Clustering Observations for Detecting Multiple Outliers in Regression Models

  • Seo, Han-Son;Yoon, Min
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.503-512
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    • 2012
  • Detecting outliers in a linear regression model eventually fails when similar observations are classified differently in a sequential process. In such circumstances, identifying clusters and applying certain methods to the clustered data can prevent a failure to detect outliers and is computationally efficient due to the reduction of data. In this paper, we suggest to implement a clustering procedure for this purpose and provide examples that illustrate the suggested procedure applied to the Hadi-Simonoff (1993) method, reverse Hadi-Simonoff method, and Gentleman-Wilk (1975) method.

Research of Integrated System Design Process for Concurrency Design Activity (동시적 업무수행을 위한 통합된 시스템 설계 프로세스연구)

  • 김진훈;박영원
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2004.04a
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    • pp.103-108
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    • 2004
  • This paper will describe integrated system design process and its application. Integrated design process is performed activities concurrently and sequentially for product development. For a group of activities to be truly integrated, the flow of deliverables among them must be well defined, and committed to. For this purpose, the study will suggest procedure that is executed context analysis of standard process, interface definition from activity decomposition, integration of related activities, and definition of concurrency & sequential activities flow, This procedure and method will contribute to minimize time loss that is emerged from activities iteration by not definitely definition of activities interface.

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Multiple, Sequential, Remote Intracranial Hematomas Following Cranioplasty

  • Moon, Hong-Joo;Park, Ju-No;Kim, Sang-Dae;Lim, Dong-Jun;Park, Jung-Yul
    • Journal of Korean Neurosurgical Society
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    • v.42 no.3
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    • pp.228-231
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    • 2007
  • The intracranial hemorrhage in regions remote from the site of initial operations is unusual but may present as fatal surgical complication. We report a rare case of multiple, sequential, remote intracranial hematomas after cranioplasty in a patient who did not have any prior risk factors. A 51-years-old man was transferred to the hospital after a head trauma. The brain computed tomography (CT) revealed acute subdural hemorrhage on the right hemisphere with prominent midline shifting. After performing decompressive craniectomy and hematoma removal, the patient recovered without any complications. However, the patient showed neurological deterioration immediately after cranioplasty, which was done three months after the first surgery. There was extensive hemorrhage in the posterior fossa remote from the site of the initial operation site. The brain CT taken soon after removing this hematoma evacuation displayed large epidural hematoma on the left hemisphere. This case represents posterior fossa hemorrhage after supratentorial procedure and sequential delayed hematoma on the contralateral supratentorial region thus seems very rare surgical complications. Despite several possible pathogenetic mechanisms for such remote hematomas, there are usually no clear cut relationships with each case as in our patient. However, for the successful outcome, prompt evaluation and intensive management seem mandatory.

Corrective Control of Asynchronous Sequential Machines for Tolerating Permanent Faults (교정 제어를 이용한 비동기 순차 머신의 영구 고장 극복)

  • Yang, Jung-Min
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.5
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    • pp.9-17
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    • 2010
  • Corrective control compensates the stable-state behavior of asynchronous sequential machines so that the closed-loop system can be changed in a desirable way. Using corrective control, we present a novel fault tolerance scheme that overcomes permanent faults for asynchronous sequential machines. When a permanent fault occurs to an asynchronous machine, the fault is not recovered forever while the machine is irreversibly stuck in a set of failure states. But, if the machine has control redundancy in the limited behavior range, corrective control can be applied to solve the fault tolerance problem against permanent faults. We present the condition on detecting permanent faults and the existence condition of an appropriate corrective controller. The design procedure for the proposed controller is described in a case study.

Development of Probiotic Candies with Optimal Viability by Using Response Surface Methodology and Sequential Quadratic Programming

  • Chen, Kun-Nan;Chen, Ming-Ju;Shiu, Jia-Shian
    • Asian-Australasian Journal of Animal Sciences
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    • v.21 no.6
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    • pp.896-902
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    • 2008
  • The objective of this research was to create a new probiotic candy with good flavor and healthy benefits by using the response surface method and a sequential quadratic programming technique. The endpoint was to increase the varieties of dairy products and enhance their market values. In this study, milk was mixed with yogurt cultures (Lactobacillus bulgaricus, Streptococcus thermophilus) and probiotics (L. paracasei, Bifidobacterium longum) and incubated at $37^{\circ}C$ for 20 h. The samples were blended with lyoprotectants (galactose, skim milk powder and sucrose), freeze dried and then mixed with sweeteners (lactose and xylitol) to improve the texture for forming tablets. The processing conditions were optimized in two steps: the first step constructed a surface model using response surface methodology; the second step optimized the model with a sequential quadratic programming procedure. Results indicated that skim milk inoculated with L. delbrueckii subsp. Bulgaricus, S. thermophilus, L. paracasei subsp. paracasei and B. longum and blended with 6.9% of galactose, 7.0% of sucrose and 8.0% of skim milk powder would produce a new probiotic candy with the highest viability of probiotics and good flavor. A relatively higher survival of probiotics can be achieved by placing the probiotic candy product in a glass bottle with deoxidant and desiccant at $4^{\circ}C$. These probiotic counts remained at 106-108 CFU/g after being stored for two months.