• 제목/요약/키워드: product of distributions

검색결과 214건 처리시간 0.028초

Tests for Equality of Two Distributions with Life-Table Model

  • 강신수
    • Journal of the Korean Data and Information Science Society
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    • 제12권2호
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    • pp.71-82
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    • 2001
  • There are several ways to test the equality of two survival distributions under a variety of situations. Tests for equality of two distributions with life-table model for univariate independent response times are reviewed and introduced. It is developed that the methodology to test it for correlated response times where treatments are applied to different independent sets of cohorts. Data, which can be separated into two independent sets, from an angioplasty study where more than one procedure is performed on some patients are used to illustrate this methodology.

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Different estimation methods for the unit inverse exponentiated weibull distribution

  • Amal S Hassan;Reem S Alharbi
    • Communications for Statistical Applications and Methods
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    • 제30권2호
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    • pp.191-213
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    • 2023
  • Unit distributions are frequently used in probability theory and statistics to depict meaningful variables having values between zero and one. Using convenient transformation, the unit inverse exponentiated weibull (UIEW) distribution, which is equally useful for modelling data on the unit interval, is proposed in this study. Quantile function, moments, incomplete moments, uncertainty measures, stochastic ordering, and stress-strength reliability are among the statistical properties provided for this distribution. To estimate the parameters associated to the recommended distribution, well-known estimation techniques including maximum likelihood, maximum product of spacings, least squares, weighted least squares, Cramer von Mises, Anderson-Darling, and Bayesian are utilised. Using simulated data, we compare how well the various estimators perform. According to the simulated outputs, the maximum product of spacing estimates has lower values of accuracy measures than alternative estimates in majority of situations. For two real datasets, the proposed model outperforms the beta, Kumaraswamy, unit Gompartz, unit Lomax and complementary unit weibull distributions based on various comparative indicators.

Analysis of the Time-dependent Optical Properties of the Entire LCD Panel

  • Lee, Do-Young;Yoo, Ki-Taek;Park, Cheol-Woo;Lee, Kyung-Ho
    • Journal of Information Display
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    • 제10권2호
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    • pp.62-67
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    • 2009
  • To understand panel driving more accurately, the optical properties and their distributions in the LCD panel itself, excluding the backlight, were investigated by measuring the transmittance of a one-dot pixel as a function of time. First, the behavior of time-dependent transmittance was analyzed, and it was found that the off-state TFT was not in a steady state but in a transient state during the holding period. Second, the time average, max, min, and range values of the transmittance curves were examined by varying the common voltage level and gray scale. Third, the analysis of such properties was expanded to cover those of the entire panel in all the gray scales. Lastly, the relationship between their properties and distributions was also investigated along with the contour plots.

CR-PRODUCT OF A HOLOMORPHIC STATISTICAL MANIFOLD

  • Vandana Gupta;Jasleen Kaur
    • 호남수학학술지
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    • 제46권2호
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    • pp.224-236
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    • 2024
  • This study inspects the structure of CR-product of a holomorphic statistical manifold. Findings concerning geodesic submanifolds and totally geodesic foliations in the context of dual connections have been demonstrated. The integrability of distributions in CR-statistical submanifolds has been characterized. The statistical version of CR-product in the holomorphic statistical manifold has been researched. Additionally, some assertions for curvature tensor field of the holomorphic statistical manifold have been substantiated.

회분식 미분반응기를 이용한 폴리에틸렌의 열분해특성 연구 (Pyrolysis of Polyethylene using Batch Microreactor)

  • 차왕석;김상훈
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2005년도 춘계학술대회
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    • pp.553-556
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    • 2005
  • Pyrolysis of polyethylene was carried out in the stainless steel reactor of internal volume of $40cm^3$. Pyrolysis reactions were performed at temperature $390-450^{\circ}C$ and the pyrolysis product were collected separately as reaction products and gas products. The molecular weight distributions(MWDs) of each liquid product were determined by GC-SIMDIS. Molecular weight of each product were decreased wi th increase of react ion temperature and time.

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유기질 부산물 비료에서 추출한 부식산 중 아미노산 특성 (Amino Acids in Humic Acids Extracted from Organic By-product Fertilizers)

  • 양재의;김정제;신명교;박용하
    • 한국토양비료학회지
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    • 제31권2호
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    • pp.128-136
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    • 1998
  • 토양의 질소 중 대부분은 유기태 질소이며, 아미노산은 유기태 질소의 주된 분획물이다. 부산물 비료는 토양에 유기물을 공급해 주며 부식산은 유기물의 주된 구성성분이다. 아미노산은 분해되어 유효태 질소로 전환되기 때문에 토양비옥도 측면에서 중요한 역할을 한다. 본연구에서는 제조원료가 상이한 11종류의 시관 부산물 비료로부터 부식산을 추출하고, 부식산에 함유되어 있는 아미노산의 함량 및 분포를 조사했다. 공시재료로 사용한 부산물비료의 대부분은 비료공정규격을 충족시켰으나, 일부 비료는 유기물함량이 낮고, C/N비가 너무 높아 부숙되지 않은 채 판매되고 있었다. 수피비료의 경우 부숙이 진행될수록 부식산, 훌부산 함량, ${\Delta}KogK$값이 감소되었고, 부식산/훌부산 비, RF값은 증가되어 이론과 일치했다. 부식산의 형태는 Rp형태에서 B형태로 전환되었다. 부산물비료 부식산 중 총 아미노산 함량은 1.2~5.6%였고, 이중 중성 아미노산이 0.8~4.5%로 가장 높았다. 부엽토, 톱밥, 수피등 식물성원료로 제조한 부산물비료의 경우 중성>산성>염기성 아미노산의 순서였고, 계분, 돈분등 동물성원료로 제조한 부산물비료의 경우 중성>염기성>산성 아미노산의 순서였다. 부산물비료를 비교할 때, 총 아미노산 분포는 부엽토>톱밥>돈분>계분>니토 순(順), 산성아미노산은 수피>톱밥>부엽토>니토 순(順)이었다. 염기성 아미노산 분포는 산성 아미노산과 역순이었다. 중성아미노산은 부엽토>톱밥>수피>니토의 순이었다. 수피비료의 경우, 부숙이 진행될수록 산성 아미노산함량은 증가했으나. 염기성 및 중성아미노산 분포는 감소했다. 부산물비료의 원료 및 부숙정도에 따라 아미노산의 함량 및 분포는 다름을 알 수 있었다.

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약물동태학 모형에 대한 변분 베이즈 방법 (A variational Bayes method for pharmacokinetic model)

  • 박선;조성일;이우주
    • 응용통계연구
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    • 제34권1호
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    • pp.9-23
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    • 2021
  • 본 논문에서는 평균장 방법(mean-field methods)을 기반으로 사후 분포(posterior distribution)를 근사하는 방법인 변분 베이즈 방법(variational Bayes methods)에 대해 소개한다. 특히, 모수들을 실수공간으로 변환 후의 결합 사후분포를 가우시안 분포(Gaussian distribution)들의 곱(product)으로 근사하는 방법인 자동 미분 변분 추론(automatic differentiation variational inference)방법에 대해 자세히 소개하고, 환자에게 약물을 투여한 후 시간에 따라 약물의 흐름을 파악하는 연구인 약물동태학 모형(pharmacokinetic models)에 적용한다. 소개된 변분 베이즈 방법을 이용하여 자료분석을 실시하고 마코프 체인 몬테 카를로(Markov chain Monte Carlo)방법을 기초로한 자료분석의 결과와 비교한다. 알고리즘의 구현은 Stan을 이용한다.

제품 표면품질의 확률적 예측 (The Probabilistic Forcasting of Product's Surface Quality)

  • 여명구;양정회
    • 산업경영시스템학회지
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    • 제20권43호
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    • pp.47-57
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    • 1997
  • As a general index in surface quality of machined products, surface roughness is to measure worker's skill level, a ground product quality and machining accuracy, etc. The surface roughness is defined by a function of rotational speed and radius of a grinding wheel, distances of active grains composed of the wheel, and feed of a grinder's worktable. To predict surface roughness in horizontal surface grinding operations, probability distributions were used. Probability distribution functions(p.d.f.) of surface roughness were found as results when the size of active grains(=the radius of a grinding wheel) is given as uniform, exponential distribution, and the distance between active grains follows the distributions of uniform, exponential. For each pdf case, probabilistic features of surface roughness were also analyzed and presented. This study is a substantial step for determining mathematically the surface roughness instead of using empirical approaches. More works should be presented to develop a general model by which an accurate roughness value can be obtained in horizontal surface grinding operations.

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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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    • 제24권3호
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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.

Residual Stress Profiles in a Product Processed By Radial Forging

  • Jang, Dong-Young;Ahn, Hyo-Sok
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제29회 춘계학술대회
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    • pp.80-85
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    • 1999
  • Residual stress in the forged products directly affects material stability, resistance to deformation, accuracy, and fatigue life of products. It is very important to study the residual stress distributions in forged products and to monitor operating conditions for the minimum tensile or maximum compressive residual stresses. As a way to study the residual stress formation due to radial forging, a three dimensional theoretical model was developed using ANSYS finite element program. Using the developed model, residual stress distributions in forged product were calculated and selected results were compared with the published experimental data to verify the effectiveness of the developed model.

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