• Title/Summary/Keyword: Distribution Information

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Asymptotic Distribution in Estimating a Population Size

  • Choi, Ki-Heon
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.2
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    • pp.313-318
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    • 1999
  • Suppose that there is a population of hidden objects of which the total number N is unknown. From such data, we derive an asymptotic distribution.

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Shrinkage Estimator of Dispersion of an Inverse Gaussian Distribution

  • Lee, In-Suk;Park, Young-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.805-809
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    • 2006
  • In this paper a shrinkage estimator for the measure of dispersion of the inverse Gaussian distribution with known mean is proposed. Also we compare the relative bias and relative efficiency of the proposed estimator with respect to minimum variance unbiased estimator.

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Classical and Bayesian methods of estimation for power Lindley distribution with application to waiting time data

  • Sharma, Vikas Kumar;Singh, Sanjay Kumar;Singh, Umesh
    • Communications for Statistical Applications and Methods
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    • v.24 no.3
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    • pp.193-209
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    • 2017
  • The power Lindley distribution with some of its properties is considered in this article. Maximum likelihood, least squares, maximum product spacings, and Bayes estimators are proposed to estimate all the unknown parameters of the power Lindley distribution. Lindley's approximation and Markov chain Monte Carlo techniques are utilized for Bayesian calculations since posterior distribution cannot be reduced to standard distribution. The performances of the proposed estimators are compared based on simulated samples. The waiting times of research articles to be accepted in statistical journals are fitted to the power Lindley distribution with other competing distributions. Chi-square statistic, Kolmogorov-Smirnov statistic, Akaike information criterion and Bayesian information criterion are used to access goodness-of-fit. It was found that the power Lindley distribution gives a better fit for the data than other distributions.

Power t distribution

  • Zhao, Jun;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.23 no.4
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    • pp.321-334
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    • 2016
  • In this paper, we propose power t distribution based on t distribution. We also study the properties of and inferences for power t model in order to solve the problem of real data showing both skewness and heavy tails. The comparison of skew t and power t distributions is based on density plots, skewness and kurtosis. Note that, at the given degree of freedom, the kurtosis's range of the power t model surpasses that of the skew t model at all times. We draw inferences for two parameters of the power t distribution and four parameters of the location-scale extension of power t distribution via maximum likelihood. The Fisher information matrix derived is nonsingular on the whole parametric space; in addition we obtain the profile log-likelihood functions on two parameters. The response plots for different sample sizes provide strong evidence for the estimators' existence and unicity. An application of the power t distribution suggests that the model can be very useful for real data.

Maximum likelihood estimation for a mixture distribution (이항-퇴화 혼합분포의 최우추정법)

  • Hwang, Seonyeong;Sohn, Seung Hye;Oh, Changhyuck
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.2
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    • pp.313-322
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    • 2015
  • A mixture distribution of a discrete uniform or degenerated distribution and two binomial distribution is proposed and a method of obtaining the maximum likelihood estimates of the parameters is provided. For the proposed model simulation studies were conducted to see performance of the maximum likelihood estimates and a mixture of a degenerated distribution and two binomial distributions was applied to fit a lecture evaluation data to show a good result.

Geographic Information System for Developing Advanced Distribution Management System (차세대 배전지능화시스템 개발을 위한 지리정보시스템 적용)

  • Kim, DongWook;Cho, SungHo;Seo, Hojin;Park, YoungBae
    • KEPCO Journal on Electric Power and Energy
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    • v.5 no.2
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    • pp.67-74
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    • 2019
  • Recently, as the renewable distributed energy resources has increased, the variability within the electrical power distribution system has increased, so that there is a growing concern about the stable electrical power distribution system. For efficient management of future electrical power distribution system, it is necessary to improve the electrical power distribution system operation using new visualization technology. In this paper, we describe the current status of GIS introduction and related technology trends in the field of electrical power distribution, and analyze the necessity of GIS system for electrical power distribution system operation and problems to be solved when introducing GIS technology.

Akaike Information Criterion-Based Reliability Analysis for Discrete Bimodal Information (바이모달 이산정보에 대한 아카이케정보척도 기반 신뢰성해석)

  • Lim, Woochul;Lee, Tae Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.12
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    • pp.1605-1612
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    • 2012
  • The distribution of a response usually depends on the distribution of the variables. When a variable shows a distribution with two different modes, the response also shows a distribution with two different modes. In this case, recently developed methods for reliability analysis assume that the distribution functions are continuous with a mode. In actual problems, however, because information is often provided in a discrete form with two or more modes, it is important to estimate the distributions for such information. In this study, we employ the finite mixture model to estimate the response distribution with two different modes, and we select the best candidate distribution through AIC. Mathematical examples are illustrated to verify the proposed method.

A Study on the Accuracy of the Maximum Likelihood Estimator of the Generalized Logistic Distribution According to Information Matrix (Information Matrix에 따른 Generalized Logistic 분포의 최우도 추정량 정확도에 관한 연구)

  • Shin, Hong-Joon;Jung, Young-Hun;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.42 no.4
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    • pp.331-341
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    • 2009
  • In this study, we compared the observed information matrix with the Fisher information matrix to estimate the uncertainty of maximum likelihood estimators of the generalized logistic (GL) distribution. The previous literatures recommended the use of the observed information matrix because this is convenient since this matrix is determined as the part of the parameter estimation procedure and there is little difference in accuracy between the observed information matrix and the Fisher information matrix for large sample size. The observed information matrix has been applied for the generalized logistic distribution based on the previous study without verification. For this purpose, a simulation experiment was performed to verify which matrix gave the better accuracy for the GL model. The simulation results showed that the variance-covariance of the ML parameters for the GL distribution came up with similar results to those of previous literature, but it is preferable to use of the Fisher information matrix to estimate the uncertainty of quantile of ML estimators.

Effects of Medical O2O Platform Quality Components on Continuous Use Intention to Information Distribution

  • MYUNG, Ju-Dong;KIM, Bo-Young
    • Journal of Distribution Science
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    • v.20 no.10
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    • pp.105-117
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    • 2022
  • Purpose: The digital healthcare business is rapidly growing due to the COVID-19 pandemic, and the medical service platform business based on smartphone apps is globally expanding. This study targeted medical information online to offline (O2O) platform users in the medical service field. It verified the effect relationship revealed in the continuous use intention of the platform with the mediation of platform quality components, namely perceived benefits, flow experience, and use satisfaction. Research design, data and methodology: Based on previous studies, three medical information O2O platform quality components, namely system quality, information quality, and service quality, were defined. And the questionnaire survey was carried out targeting 359 leading medical information O2O platform users in Korea. Results: As a result of the analysis, it was confirmed that system quality and service quality had a positive (+) effect on satisfaction and continuous use intention with the mediation of perceived benefits and flow experience. Meanwhile, information quality had a negative effect (-) on perceived benefits and flow experience and did not affect use satisfaction and continuous use intention. Conclusions: Consequently, it was ascertained that the system quality and service quality affecting user behavior and experience were more significant factors than information quality to medical information O2O platform users from the medical service aspect.