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Two-dimensional continuum modelling of an inductively coupled plasma reactor

  • Kim, Dong-Ho;Shung, Won-Young;Kim, Do-Hyun
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.10 no.2
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    • pp.128-133
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    • 2000
  • Numerical analysis of the transport phenomena in an inductively coupled plasma reactor was conducted with two-dimensional axisymmetric model including the electromagnetic field model, electron and species density models. The spatial distribution of the charged species in the ion flux to the wafer have been calculated to examine the influence of the process conditions including antenna and reactor geometry. The antenna radius had a significant influence on the plasma state and axial ion flux distribution.

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WICK DERIVATIONS ON WHITE NOISE FUNCTIONALS

  • Chung, Dong-Myung;Chung, Tae-Su
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.993-1008
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    • 1996
  • The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space $(E^*, \mu)$ as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Legesgue measure. The mathematical framework of white noise analysis is the Gel'fand triple $(E) \subset (L^2) \subset (E)^*$ over $(E^*, \mu)$ where $\mu$ is the standard Gaussian measure associated with a Gel'fand triple $E \subset H \subset E^*$.

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Bayes Estimation of a Reliability Function for Rayleigh Model

  • Kim, Yeung-Hoon;Sohn, Joong-Kweon
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.445-461
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    • 1994
  • This paper deals with the problem of obtaining some Bayes estimators and Bayesian credible regions of a reliability function for the Rayleigh distribution. Using several priors for a reliability function some Bayes estimators and Bayes credible sets are proposed and studied under squared error loss and Harris loss. Also the performances and behaviors of the proposed Bayes estimators are examined via Monte Carlo simulations and some numericla examples are given.

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A Repair Process with Embedded Markov Chain

  • Lee, Eui-Yong;Munsup Seoh
    • Journal of the Korean Statistical Society
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    • v.28 no.4
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    • pp.515-522
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    • 1999
  • A repair process of a system consisting of both perfect repairs and minimal repairs is introduced. The type of repair, when the system fails, is determined by an embedded two state Markov chain. We study several stochastic properties of the process including the preservation of ageing properties and the monotonicities of the time between successive repairs. After assigning repair costs to the process, we also show that an optimal repair policy uniquely exists, if the underlying life distribution of the system has DMRL.

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Analysis of Unfinished Work and Queue Waiting Time for the M/G/1 Queue with D-policy

  • Park, Yon-Il;Chae, Kyung-Chul
    • Journal of the Korean Statistical Society
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    • v.28 no.4
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    • pp.523-533
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    • 1999
  • We consider the M/G/1 queueing model with D-policy. The server is turned off at the end of each busy period and is activated again only when the sum of the service times of all waiting customers exceeds a fixed value D. We obtain the distribution of unfinished work and show that the unfinished work decomposes into two random variables, one of which is the unfinished work of ordinary M/G/1 queue. We also derive the distribution of queue waiting time.

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Batch Size Distribution in Input Flow to Queues with Finite Buffer

  • Kim, Che-Soong;Kim, Ji-Seung
    • Proceedings of the Korea Society of Information Technology Applications Conference
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    • 2005.11a
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    • pp.271-275
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    • 2005
  • Queueing models are good models for fragments of communication systems and networks, so their investigation is interesting for theory and applications. Theses queues may play an important role for the validation of different decomposition algorithms designed for investigating more general queueing networks. So, in this paper we illustrate that the batch size distribution affects the loss probability, which is the main performance measure of a finite buffer queues.

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Simultaneous Estimation of Parameters from Power Series Distributions under Asymmetric Loss

  • Chung, Youn-Shik;Dipak K. Dey
    • Journal of the Korean Statistical Society
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    • v.23 no.1
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    • pp.151-166
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    • 1994
  • Let $X_1, \cdot, X_p$ be p independent random variables, where each $X_i$ has a distribution belonging to one parameter discrete power series distribution. The problem is to simultaneously estimate the unknown parameters under an asymmetric loss. Several new classes of dominating estimators are obtained by solving certain difference inequality.

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Bootstrap Confidence Intervals for the Reliability Function of an Exponential Distribution

  • Kang, Suk-Bok;Cho, Young-Suk
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.523-532
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    • 1997
  • We propose several estimators of the reliability function R of the two-parameter exponential distribution, and then compare those estimator in terms of the mean square error (MSE) through Monte Carlo method. We also consider the parametric bootstrap estimation. Using the parametric bootstrap estimator, we obtain the bootstrap confidence intervals for reliability function and compare the proposed bootstrap confidence intervals in terms of the length and the coverage probability through Monte Carlo method.

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A SINGLE SERVER RETRIAL QUEUE WITH VACATION

  • Kalyanaraman, R.;Murugan, S. Pazhani Bala
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.721-732
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    • 2008
  • A single server infinite capacity queueing system with Poisson arrival and a general service time distribution along with repeated attempt and server vacation is considered. We made a comprehensive analysis of the system including ergodicity and limiting behaviour. Some operating characteristics are derived and numerical results are presented to test the feasibility of the queueing model.

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A Note on Parametric Bootstrap Model Selection

  • Lee, Kee-Won;Songyong Sim
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.397-405
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    • 1998
  • We develop parametric bootstrap model selection criteria in an example to fit a random sample to either a general normal distribution or a normal distribution with prespecified mean. We apply the bootstrap methods in two ways; one considers the direct substitution of estimated parameter for the unknown parameter, and the other focuses on the bias correction. These bootstrap model selection criteria are compared with AIC. We illustrate that all the selection rules reduce to the one sample t-test, where the cutoff points converge to some certain points as the sample size increases.

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