• Title/Summary/Keyword: parametric estimation

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Change-Point Estimation and Bootstrap Confidence Regions in Weibull Distribution

  • Jeong, Kwang-Mo
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.359-370
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    • 1999
  • We considered a change-point hazard rate model generalizing constant hazard rate model. This type of model is very popular in the sense that the Weibull and exponential distributions formulating survival time data are the special cases of it. Maximum likelihood estimation and the asymptotic properties such as the consistency and its limiting distribution of the change-point estimator were discussed. A parametric bootstrap method for finding confidence intervals of the unknown change-point was also suggested and the proposed method is explained through a practical example.

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Cost estimation of defense acquisition programs using parametric cost models (파라메트릭 기법에 의한 국방획득사업의 비용추정)

  • Gwon, Yong-Su;Jo, Sang-Yeol
    • 시스템엔지니어링워크숍
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    • s.1
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    • pp.54-59
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    • 2003
  • A parametric cost estimation has a somewhat problem in the application of Korean defence acquisition program environment. In this paper, it is presented the solution suitable in the environment. The analysis is performed to the PRICE model and Korean defense industry cost accounting. Then, the scheme to solve such problems is presented is terms of data management and appropriate for usage.

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Parametric Empirical Bayes Estimation of A Constant Hazard with Right Censored Data

  • Mashayekhi, Mostafa
    • International Journal of Reliability and Applications
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    • v.2 no.1
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    • pp.49-56
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    • 2001
  • In this paper we consider empirical Bayes estimation of the hazard rate and survival probabilities with right censored data under the assumption that the hazard function is constant over the period of observation and the prior distribution is gamma. We provide an estimator of the first derivative of the prior moment generating function that converges at each point to the true value in $L_2$ and use it to obtain, easy to compute, asymptotically optimal estimators under the squared error loss function.

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Parametric Quantity Take-Off of Earthwork by Comparing the Use of Surface and Solid Models (Surface 및 Solid 방식의 비교를 통한 Parametric 기법의 토공물량산출 방법)

  • Hwang, Hee-Su;Lee, Jae-Hong;Kim, Tae-Young
    • Journal of KIBIM
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    • v.8 no.1
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    • pp.56-62
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    • 2018
  • There exists no precedented case of quantity take-off, using parametric modeling, from BIM-based irregular structures. Civil 3D provides earthwork quantity take-off based on surface modeling. Generally, designers should enter data into the specification additionally after extracting quantity estimation from earthwork modeling design. The objective of this report is to suggest the method from quantity take-off to specification of BIM-based earthwork quantities. We intend to investigate earthwork take-off method by Civil3D and explain why parametric information extraction is required for quantity estimation and specification and how information of earthwork quantity based on solid and surface modeling is connected to open quantity take-off module. It is highly expected that this suggestion would be the practical methodology of earthwork quantity take-off and specification in the field of civil engineering.

Identification of the Movement of Underlying Asset in Real Option Analysis: Studies on Industrial Parametric Table (실물옵션 적용을 위한 산업별 기초자산 확률과정추정)

  • Lee, Jeong-Dong;Gang, A-Ri;Jeong, Jong-Uk
    • Proceedings of the Technology Innovation Conference
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    • 2004.02a
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    • pp.222-245
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    • 2004
  • This paper has an intention of proposing useful parametric tables of each industry group within Korea. These parametric tables can be insightful criteria for those who are dealing with the exact valuation of company, technology or industry through Real Option Analysis (ROA) since the identification of the movement of underlying asset is the very first step to be done. To give the exact estimations of parameters and the most preferred model in each industry group, we cover topics on ROA, stochastic process, and parametric estimation method like Generalized Method of Moments (GMM) and Maximum Likelihood Estimation (MLE). Additionally, specific industry groups, such as, Internet service group and mobile telecommunication service group defined independently in this paper are also examined in terms of its property of movement with the suggesting of the most fitting stochastic model.

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Estimation of Small Area Proportions Based on Logistic Mixed Model

  • Jeong, Kwang-Mo;Son, Jung-Hyun
    • The Korean Journal of Applied Statistics
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    • v.22 no.1
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    • pp.153-161
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    • 2009
  • We consider a logistic model with random effects as the superpopulation for estimating the small area pro-portions. The best linear unbiased predictor under linear mired model is popular in small area estimation. We use this type of estimator under logistic mixed motel for the small area proportions, on which the estimation of mean squared error is also discussed. Two kinds of estimation methods, the parametric bootstrap and the linear approximation will be compared through a Monte Carlo study in the respects of the normality assumption on the random effects distribution and also the magnitude of sample sizes on the approximation.

Estimation of confidence interval in exponential distribution for the greenhouse gas inventory uncertainty by the simulation study (모의실험에 의한 온실가스 인벤토리 불확도 산정을 위한 지수분포 신뢰구간 추정방법)

  • Lee, Yung-Seop;Kim, Hee-Kyung;Son, Duck Kyu;Lee, Jong-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.825-833
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    • 2013
  • An estimation of confidence intervals is essential to calculate uncertainty for greenhouse gases inventory. It is generally assumed that the population has a normal distribution for the confidence interval of parameters. However, in case data distribution is asymmetric, like nonnormal distribution or positively skewness distribution, the traditional estimation method of confidence intervals is not adequate. This study compares two estimation methods of confidence interval; parametric and non-parametric method for exponential distribution as an asymmetric distribution. In simulation study, coverage probability, confidence interval length, and relative bias for the evaluation of the computed confidence intervals. As a result, the chi-square method and the standardized t-bootstrap method are better methods in parametric methods and non-parametric methods respectively.

Observed Data Oriented Bispectral Estimation of Stationary Non-Gaussian Random Signals - Automatic Determination of Smoothing Bandwidth of Bispectral Windows

  • Sasaki, K.;Shirakata, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.502-507
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    • 2003
  • Toward the development of practical methods for observed data oriented bispectral estimation, an automatic means for determining the smoothing bandwidth of bispectral windows is proposed, that can also provide an associated optimum bispectral estimate of stationary non-Gaussian signals, systematically only from an observed time series datum of finite length. For the conventional non-parametric bispectral estimation, the MSE (mean squared error) of the normalized estimate is reviewed under a certain mixing condition and sufficient data length, mainly from the viewpoint of the inverse relation between its bias and variance with respect to the smoothing bandwidth. Based on the fundamental relation, a systematic method not only for determining the bandwidth, but also for obtaining the optimum bispectral estimate is presented by newly introducing a MSE evaluation index of the estimate only from an observed time series datum of finite length. The effectiveness and fundamental features of the proposed method are illustrated by the basic results of numerical experiments.

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Overview of Reliability Rank Measures for Small Sample (소표본인 경우 신뢰성 순위 척도의 고찰)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.9 no.2
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    • pp.161-169
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    • 2007
  • This paper presents three methods for expression of reliability measures for large and small data. First method is to express parametric estimation of cardinal reliability measure data for large sample, which requires numerous sample. Second is to obtain nonparametric distribution classification of ordinal reliability measure data for small sample. However it is difficult for field user to understand this method. Last method is to acquire parametric estimation of ordinal reliability measure data for small data. Because this method requires small sample and is comprehensive, we recommend this one among the proposed methods. Various reliability rank measures are presented.

Identification of Interval Model for Parametric Uncertain Systems (파라미터 불확실성 시스템의 구간모델 식별)

  • 김동형;우영태;김영철
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.8
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    • pp.462-470
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    • 2003
  • This paper presents an algorithm of identifying parametric uncertainty by way of an interval model. For a given set of frequency response data from an uncertain linear SISO system of which the upper and the lower bounds of both magnitude and phase responses are represented, the proposed algorithm consists of two main parts: first, the nominal model is identified by using Least Square Estimation (LSE), and then an interval model is constructed by expanding the extremal properties of interval systems, so that tightly enclose the given envelopes within those of interval model. Two numerical examples are given to demonstrate and verify the developed algorithm. The identified interval model can be used for evaluating the worst case performance and stability margins against parametric uncertainty by using some extremal properties on interval systems.