• Title/Summary/Keyword: Underlying Distribution

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Optimal Estimation within Class of James-Stein Type Decision Rules on the Known Norm

  • Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.5 no.3
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    • pp.186-189
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    • 2012
  • For the mean vector of a p-variate normal distribution ($p{\geq}3$), the optimal estimation within the class of James-Stein type decision rules under the quadratic loss are given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}\underline{{\theta}}{\parallel}$ in known. It also demonstrated that the optimal estimation within the class of Lindley type decision rules under the same loss when the underlying distribution is the previous type and the norm ${\parallel}{\theta}-\overline{\theta}\underline{1}{\parallel}$ with $\overline{\theta}=\frac{1}{p}\sum\limits_{i=1}^{n}{\theta}_i$ and $\underline{1}=(1,{\cdots},1)^{\prime}$ is known.

Likelihood Function of Order Statistic with a Weibull Distribution (와이벌분포를 갖는 순위설계량의 우도함수)

  • Seo Nam-Su
    • Journal of the military operations research society of Korea
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    • v.9 no.2
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    • pp.39-43
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    • 1983
  • In this paper, we derive the likelihood function for the independent random order statistic whose underlying lifetime distribution is a two parameter Weibull form. For this purpose we first discuss the order statistic which represent a characteristic feature of most life and fatigue tests that they give rise to ordered observations. And, we describe the properties of the underlying Weibull model. The derived likelihood function is essential for establishing the statistical life test plans in the case of Weibull distribution using a likelihood ratio method.

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Non-parametric Density Estimation with Application to Face Tracking on Mobile Robot

  • Feng, Xiongfeng;Kubik, K.Bogunia
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.49.1-49
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    • 2001
  • The skin color model is a very important concept in face detection, face recognition and face tracking. Usually, this model is obtained by estimating a probability density function of skin color distribution. In many cases, it is assumed that the underlying density function follows a Gaussian distribution. In this paper, a new method for non-parametric estimation of the probability density function, by using feed-forward neural network, is used to estimate the underlying skin color model. By using this method, the resulting skin color model is better than the Gaussian estimation and substantially approaches the real distribution. Applications to face detection and face ...

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Improvement of the Modified James-Stein Estimator with Shrinkage Point and Constraints on the Norm

  • Kim, Jae Hyun;Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.6 no.4
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    • pp.251-255
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    • 2013
  • For the mean vector of a p-variate normal distribution ($p{\geq}4$), the optimal estimation within the class of modified James-Stein type decision rules under the quadratic loss is given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}{\theta}-\bar{\theta}1{\parallel}$ it known.

On the maximum and minimum in a bivariate uniform distribution

  • Lee, Changsoo;Shin, Hyejung;Moon, Yeung-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1495-1500
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    • 2015
  • We obtain means and variances of max {X, Y} and min {X, Y} in the underlying Morgenstern type bivariate uniform variables X and Y with same scale parameters and different scale parameters respectively. And we obtain the conditional expectations in the underlying Morgenstern type bivariate uniform variables. Here, we shall consider the conditional expectations to know the dependence of one variable on the other variable and we consider the behaviors of means and variances of max {X, Y} and min {X, Y} with respect to changes in means, variances, and the correlation coeffcient of the underlying Morgenstern type bivariate uniform variables.

Clinical and Serologic Study of Herpes Zoster in Children and Adolescents in Gwangju-Jeonnam Province (광주·전남 지역의 소아·청소년 대상포진에 대한 임상적 비교 및 혈청학적 의의에 대한 연구)

  • Na, Chan Ho;Kim, Choong Jae;Shin, Bong Seok;Choi, Hoon;Kim, Min Sung
    • Korean journal of dermatology
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    • v.56 no.9
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    • pp.531-538
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    • 2018
  • Background: Herpes zoster is a common dermatologic disorder. However, it rarely occurs in children and adolescents in Gwangju-Jeonnam province. Objective: This study aimed to analyze the epidemiological features and clinical characteristics of herpes zoster in children and adolescents. Methods: A retrospective survey was conducted on patients who visited the department of dermatology of Chosun University Hospital in Gwangju-Jeonnam province within the past 8 years. The medical records of 103 patients aged <18 years were reviewed. We analyzed for age, gender, accompanying symptoms, dermatomal distribution, underlying disease, treatment, and complications with serologic test. Results: The male-to-female ratio of the participants was 1.08:1, and their mean age was 13.0 years. Underlying diseases were observed in 3% (3/102) of the patients. The most common dermatomal distribution was thoracic dermatome (34%), followed by trigeminal (26%), cervical (20%), lumbar (15%), and non-skin (6%). The most common accompanying symptoms were headache (10%), fever (3%), and myalgia (3%). No difference was observed between patients who were varicella-zoster virus (VZV) IgM-positive and those who were VZV IgM-negative in terms of dermatome, visual analogue scale (VAS), severity, and body mass index (BMI). Conclusion: In children and adolescents with herpes zoster, the gender ratio and dermatomal distribution were similar to those previously reported, except for the low rate of underlying diseases. The incidence of herpes zoster in children was not significantly associated with immunosuppression and underlying diseases. Higher VZV IgM titer was not associated with dermatomal distribution, higher VAS score, or BMI. This study first compared the serological test results of children.

A Federated Multi-Task Learning Model Based on Adaptive Distributed Data Latent Correlation Analysis

  • Wu, Shengbin;Wang, Yibai
    • Journal of Information Processing Systems
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    • v.17 no.3
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    • pp.441-452
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    • 2021
  • Federated learning provides an efficient integrated model for distributed data, allowing the local training of different data. Meanwhile, the goal of multi-task learning is to simultaneously establish models for multiple related tasks, and to obtain the underlying main structure. However, traditional federated multi-task learning models not only have strict requirements for the data distribution, but also demand large amounts of calculation and have slow convergence, which hindered their promotion in many fields. In our work, we apply the rank constraint on weight vectors of the multi-task learning model to adaptively adjust the task's similarity learning, according to the distribution of federal node data. The proposed model has a general framework for solving optimal solutions, which can be used to deal with various data types. Experiments show that our model has achieved the best results in different dataset. Notably, our model can still obtain stable results in datasets with large distribution differences. In addition, compared with traditional federated multi-task learning models, our algorithm is able to converge on a local optimal solution within limited training iterations.

Efficiency of MINQE for arbitrary underlying distribution under one way random effects model (일원변량모형에서의 임의의 분포에 대한 NINQE 추정량의 효율성)

  • 이장택
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.355-370
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    • 1993
  • The estimations of variance components for the unbalanced one way random effects model when the underlying distributions are not necessarily normal are considered. ANOVA, REML, ML, MIVQUE, and MINQE estimators are compared with respect to their mean squared errors and biases through a simulation study. Explicit, computable expressions with no matrix inversion necessary are given for these estimators. An efficient rule to provide a prior guess of MINQE is given. Our results indicate that the efficiency of MINQE is excellent for arbitrary underlying distribution in the sense of MSE even in the presence of nontrivial bias. Also, MINQE is a worthwhile improvement over other estimators when kurtosis of underlying distributions become large 1.

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Jackknife Estimation of the Coefficient of Variation in the Pareto Distribution

  • Woo, Jung-Soo;Kang, Suk-Bok
    • Journal of the Korean Statistical Society
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    • v.13 no.1
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    • pp.42-47
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    • 1984
  • In this paper, the means of the estimators for the coefficient of variation (CV) in an underlying Pareto distribution are expressed in terms of confluent hypergeometric functions. The numericla values of the biases for the CV estimators in the Pareto distribution are also obtained.

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Clinical Evaluation of Pneumonectomy (전폐절제술에 관한 임상적 연구)

  • Gwon, Eun-Su;Jeong, Hwang-Gyu
    • Journal of Chest Surgery
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    • v.28 no.2
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    • pp.150-155
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    • 1995
  • For study the influencing factors to the complication after pneumonectomy, authors performed retrospective analysis in 33 patients managed surgically from February 1985 to February 1994 in the Department of Thoracic and Cardiovascular Surgery, Pusan National University Hospital.Among 33 patients, the underlying diseases were distributed 15 patients[45.5% pulmonary tuberculosis, 14[42.% lung cancer and 4[12.1% bronchiectasis. Numbers of complication according to the underlying disease after pneumonectomy were 8 in pulmonary tuberculosis, 2 in lung cancer and 1 in brochiectasis. Study was analyzed on age, sex distribution, etiology of underlying diseases and operated sides contributing to the complication. The results were characterized that the rate of occurrence of complication after pneumonectomy was not affected by age, sex and operated side differences but affected by the underlying disease.The development of complication after pneumonectomy in patients with pulmonary tuberculosis revealed statistically borderline significance comparing to the others[p=0.07 .

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