• Title/Summary/Keyword: distribution parameter

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A bivariate extension of the two-parameter exponential distribution (위치모수를 가지는 이변량지수분포의 개발)

  • 홍연웅
    • The Korean Journal of Applied Statistics
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    • v.11 no.1
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    • pp.185-192
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    • 1998
  • A bivariate extension of the two-parameter exponential distribution is proposed as a model for certain problems in system level life testing. In particular, it applies to two-component shared parallel systems having a minimum guarantee time. Various statistical properties of the model are investigated, including maximum likelihood estimators (MLEs), modified MLEs, and unbiased estimators of the parameters and their distributions.

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Projected Circular and l-Axial Skew-Normal Distributions

  • Seo, Han-Son;Shin, Jong-Kyun;Kim, Hyoung-Moon
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.879-891
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    • 2009
  • We developed the projected l-axial skew-normal(LASN) family of distributions for I-axial data. The LASN family of distributions contains the semicircular skew-normal(SCSN) and the circular skew-normal(CSN) families of distributions as special cases. The LASN densities are similar to the wrapped skew-normal densities for the small values of the scale parameter. However CSN densities have more heavy tails than those of the wrapped skew-normal densities on the circle. Furthermore the CSN densities have two modes as the scale parameter increases. The LASN distribution has very convenient mathematical features. We extend the LASN family of distributions to a bivariate case.

Improvement Scheme of Field Uniformity of Stirrer Parameter in Reverberation Chamber (전자파 잔향실의 교반기 매개변수에 따른 전계 균일도 향상 방안)

  • Kim, Kwang-Yong;Hong, Joo-Il;Han, Seung-Moon;Doo, Jin-Suk;Huh, Chang-Su;Lee, Ki-Taek
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1583_1584
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    • 2009
  • Reverberation chamber have become a common tool in radiated susceptibility and emission testing of electronic equipment. In a reverberation chamber, internal electromagnetic fields are mixed by metallic stirrer. Due to elimination of Polarization characteristic in reverberation chamber, electromagnetic wave reached to EUT all aspect angle. Hence, Field distribution in overmode reverberation chamber can be presented by chi-square distribution. Field uniformity in reverberation chamber have to satisfy standard deviation below 3dB and is influenced by mechanical stirrer. This paper investigates relationship between change of stirrer parameter and field uniformity in reverberation chamber.

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An inverse hyperbolic theory for FG beams resting on Winkler-Pasternak elastic foundation

  • Sayyad, Atteshamuddin S.;Ghugal, Yuwaraj M.
    • Advances in aircraft and spacecraft science
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    • v.5 no.6
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    • pp.671-689
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    • 2018
  • Bending, buckling and free vibration responses of functionally graded (FG) higher-order beams resting on two parameter (Winkler-Pasternak) elastic foundation are studied using a new inverse hyperbolic beam theory. The material properties of the beam are graded along the thickness direction according to the power-law distribution. In the present theory, the axial displacement accounts for an inverse hyperbolic distribution, and the transverse shear stress satisfies the traction-free boundary conditions on the top and bottom surfaces of the beams. Hamilton's principle is employed to derive the governing equations of motion. Navier type analytical solutions are obtained for the bending, bucking and vibration problems. Numerical results are obtained to investigate the effects of power-law index, length-to-thickness ratio and foundation parameter on the displacements, stresses, critical buckling loads and frequencies. Numerical results by using parabolic beam theory of Reddy and first-order beam theory of Timoshenko are specially generated for comparison of present results and found in excellent agreement with each other.

Empirical Bayes Interval Estimation by a Sample Reuse Method

  • Cho, Kil-Ho;Choi, Dal-Woo;Chae, Hyeon-Sook
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.41-48
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    • 1997
  • We construct the empirical Bayes(EB) confidence intervals that attain a specified level of EB coverage for the unknown scale parameter in the Weibull distribution with the known shape parameter under the type II censored data. Our general approach is to use an EB bootstrap samples introduced by Larid and Louis(1987). Also, we compare the coverage probability and the expected interval length for these bootstrap intervals with those of the naive intervals through Monte Carlo simulation.

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Reference priors for two parameter exponential stress-strength model

  • Kang, Sang-Gil;Kim, Dal-Ho;Le, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.935-944
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    • 2010
  • In this paper, we develop the noninformative priors for the reliability in a stress-strength model where a strength X and a stress Y have independent exponential distributions with different scale parameters and a common location parameter. We derive the reference priors and prove the propriety of joint posterior distribution under the general prior including the reference priors. Through the simulation study, we show that the proposed reference priors match the target coverage probabilities in a frequentist sense.

A Study on the Parameter Estimation of Limiting Distribution (극치분포의 모수추정에 관한 연구)

  • 엄태원
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.32
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    • pp.17-26
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    • 1994
  • This paper deals with the estimation of limiting distribution parameters, which have a close relation with product reliability characteristics in reliability test. Among the many kinds of estimation methods, probability paper is commonly used. The limiting probability paper is very convenient, but it has a great disadvantage in estimation accuracy by plotting method. It is very difficult to get the same results even if one use the same data several times. A computer program for the regression method is used for the parameter estimation to reduce these errors. Especially, the computer graphic program was written in GW-BASIC 3.22 language and a couple of running examples for user's reference appears in the appendix part.

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Regression models generated by gamma random variables with long-term survivors

  • Ortega, Edwin M.M.;Cordeiro, Gauss M.;Hashimoto, Elizabeth M.;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
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    • v.24 no.1
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    • pp.43-65
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    • 2017
  • We propose a flexible cure rate survival model by assuming that the number of competing causes of the event of interest has the Poisson distribution and the time for the event follows the gamma-G family of distributions. The extended family of gamma-G failure-time models with long-term survivors is flexible enough to include many commonly used failure-time distributions as special cases. We consider a frequentist analysis for parameter estimation and derive appropriate matrices to assess local influence on the parameters. Further, various simulations are performed for different parameter settings, sample sizes and censoring percentages. We illustrate the performance of the proposed regression model by means of a data set from the medical area (gastric cancer).

Comparative Study of First-in-Human Dose Estimation Approaches using Pharmacometrics (약물계량학을 이용한 초기임상1상 시험 용량 예측 방법에 대한 비교연구)

  • Baek, In-hwan
    • Korean Journal of Clinical Pharmacy
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    • v.26 no.2
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    • pp.150-162
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    • 2016
  • Objective: First-in-human dose estimation is an essential approach for successful clinical trials for drug development. In this study, we systematically compared first-in-human dose and human pharmacokinetic parameter estimation approaches. Methods: First-in-human dose estimation approaches divided into similar drug comparison approaches, regulatory guidance based approaches, and pharmacokinetic based approaches. Human clearance, volume of distribution and bioavailability were classified for human pharmacokinetic parameter estimation approaches. Results: Similar drug comparison approaches is simple and appropriate me-too drug. Regulatory guidance based approaches is recommended from US Food and Drug Administration (FDA) and European Medicines Agency (EMA) regarding no-observed-adverse-effect level (NOAEL) or minimum anticipated biological effect level (MABEL). Pharmacokinetic based approaches are 8 approaches for human clearance estimation, 5 approaches for human volume of distribution, and 4 approaches for human bioavailability. Conclusion: This study introduced and compared all methods for first-in-human dose estimation. It would be useful practically to estimate first-in-human dose for drug development.

Envelope empirical likelihood ratio for the difference of two location parameters with constraints of symmetry

  • Kim, Kyoung-Mi;Zhou, Mai
    • 한국데이터정보과학회:학술대회논문집
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    • 2002.06a
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    • pp.51-73
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    • 2002
  • Empirical likelihood ratio method is a new technique in nonparametric inference developed by A. Owen (1988, 2001). Sometimes empirical likelihood has difficulties to define itself. As such a case in point, we discuss the way to define a modified empirical likelihood for the location of symmetry using well-known points of symmetry as a side conditions. The side condition of symmetry is defined through a finite subset of the infinite set of constraints. The modified empirical likelihood under symmetry studied in this paper is to construct a constrained parameter space $\theta+$ of distributions imposing known symmetry as side information. We show that the usual asymptotic theory (Wilks theorem) still hold for the empirical likelihood ratio on the constrained parameter space and the asymptotic distribution of the empirical NPMLE of difference of two symmetric points is obtained.

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