• 제목/요약/키워드: Product of normal variables

검색결과 27건 처리시간 0.024초

곱 정규확률변수의 합에 대한 소표본 점근분표와 FSK 통신에의 응용 (Small Sample Asymptotic Distribution for the Sum of Product of Normal Variables with Application to FSK Communication)

  • 나종화;김정미
    • 응용통계연구
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    • 제22권1호
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    • pp.171-179
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    • 2009
  • 본 논문에서는 정규확률변수의 곱과 그의 합으로 표현되는 통계량의 분포에 대한 효과적인 근사법을 다루었다. 이차 형식에 대한 안장점근사에 기초한 이 방법은 기존의 정규근사에 비해 매우 정확한 결과를 제공한다. 또한 이에 대한 응용으로 FSK 통신에서 발생하는 문제를 제시하고, 그 해결책으로 본 논문에서 제안한 안장점근사법을 사용하였다. 모의실험을 통해 제안된 근사법이 중심영역은 물론, 통신이론에서 주요 관심 영역인, 극단 꼬리부분의 확률 근사에도 매우 유용한 방법임을 확인하였다.

Optimal Screening Procedures for Improving Outgoing Quality Based on Correlated Normal Variables

  • Riew, Moon-Charn;Bai, Do-Sun
    • Journal of the Korean Statistical Society
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    • 제14권1호
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    • pp.18-28
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    • 1985
  • Optimal screening procedures for improving outgoing product quality based on correlated normal variables are presented. The performance variable and the screening variables are assumed to be jointly normally distributed. These procedures do not require specialized tables, and closed-form solutions are obtained for the case of one-sided specification. Methods for finding optimal solutions for the case of two-sided specifications are also considered.

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다면적인 가격지각이 의복구매과정에 미치는 영향 - 구매태도 및 행동과의 관계를 중심으로 - (The Multi-Faceted Influence of Price on Consumers' Purchasing Process of Apparel Products - Relationships with Attitudinal and Behavioral Variables -)

  • 이규혜;이은영
    • 대한가정학회지
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    • 제40권9호
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    • pp.1-15
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    • 2002
  • The multi-faceted influence of price on consumers' purchasing process of apparel products: Relationships with attitudinal and behavioral variables Price has a significant relationship to clothing products not only because of its practical, emotional and symbolic attributes but also because of its wide range and frequent changes. The purpose of this study was to identify the multi-faceted influence of price on consumers' purchasing process of clothing products. Six types of price-perceptions were related to various attitudinal and behavioral variables in a clothing purchase. A questionnaire was developed and data were collected from 720 adult women living in Seoul. Factor analysis, multiple regression, t-test and canconical correlation were employed to analyze the data. Low price consciousness was negatively related to product-oriented aspects of clothing and effected the one-price sale, visiting public markets and using interpersonal sources of price information. Value for money consciousness was positively related to product-oriented aspects of clothing and consumers' age or marriage and effected price considerations at the on-purchase and post-purchase stage. Price-quality inference was related to product-oriented and market-oriented aspects of clothing while price-prestige inference was related to visual and symbolic aspects of clothing and effected normal-price purchasing. Sale proneness was related to market-oriented aspects of clothing and effected seasonal sale price purchasing and price mavenism was related to market-oriented and visual aspects of clothing and effected price considerations at the pre-purchase stage.

A Novel Drug Delivery Approach to Olanzapine Orally Dispersible Tablet (ODT) in the Phase of Schizophrenia and Its Pharmacokinetics

  • Kim, Hyun-Jo;Park, Jeong-Hwan
    • Journal of Pharmaceutical Investigation
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    • 제40권5호
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    • pp.297-304
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    • 2010
  • The present work focuses on preparation of olanzapine, orally dispersing tablets by direct compression method. Effect of super disintegrant crospovidone, disintegration time, drug content on in vitro release has been studied. A factorial design was employed in formulating a prompt dispersible tablet. The selected independent variables crospovidone and fmelt showed significant effect on dependent variables i.e. disintegration time and percent drug dissolved. Disintegration time and percent drug dissolved decreased with increase in the level of crospovidone. The similarity factor $f_2$ was found to be 97.48 for the developed formulation indicating the release was similar to that of the marketed formulation. Pharmacokinetics of olanzapine after single-dose oral administration of orally disintegrating tablet in normal volunteers were evaluated and the results showed that PK parameters (Cmax, Tmax, AUC) of the designed ODT matrix were similar to those of commercial product, Zyprexa Zydis$^{(R)}$ as a reference.

사물인터넷 환경에서 제품 불량 예측을 위한 기계 학습 모델에 관한 연구 (A Study on the Machine Learning Model for Product Faulty Prediction in Internet of Things Environment)

  • 구진희
    • 융합정보논문지
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    • 제7권1호
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    • pp.55-60
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    • 2017
  • 사물인터넷 환경에서 인간의 개입 없는 지능화된 서비스를 위해서는 IoT 디바이스에서 생성되는 빅데이터로 부터 정상 패턴을 학습하고 이를 기반으로 불량, 오작동과 같은 이상 징후에 대해 예측하는 과정이 요구된다. 본 연구의 목적은 제품 공정의 다양한 기기에서 발생되는 빅데이터를 분석함으로써 제품 불량을 예측할 수 있는 기계 학습모델을 구현하는 것이다. 기계 학습 모델은 어느 정도 볼륨을 가진 기존 데이터를 기반으로 분석을 해야 하므로 빅데이터 분석도구 R을 사용하였으며, 제품 공정에서 수집된 데이터에는 제품에 대한 불량 여부가 포함되어 있으므로 지도 학습 모델을 활용하였다. 연구의 결과, 제품 불량에 영향을 주는 변수 및 변수 조건을 분류하였고, 의사결정 트리를 기반으로 제품의 불량 여부에 대한 예측 모델을 제시하였다. 또한, ROC Curve를 이용한 모델의 적합성 및 성능평가 분석에서 모델의 예측력은 상당히 높게 나타났다.

A NEW KIND OF THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT OF A CERTAIN PARTIAL SUMS

  • Zang, Qing-Pei
    • 대한수학회보
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    • 제48권5호
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    • pp.1041-1046
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    • 2011
  • Let {X, $X_{i};\;i{\geq}1$} be a sequence of independent and identically distributed positive random variables. Denote $S_n= \sum\array\\_{i=1}^nX_i$ and $S\array\\_n^{(k)}=S_n-X_k$ for n ${\geq}$1, $1{\leq}k{\leq}n$. Under the assumption of the finiteness of the second moments, we derive a type of the law of the iterated logarithm for $S\array\\_n^{(k)}$ and the limit point set for its certain normalization.

Numerical Switching Performances of Cumulative Sum Chart for Dispersion Matrix

  • Chang, Duk-Joon
    • 통합자연과학논문집
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    • 제12권3호
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    • pp.78-84
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    • 2019
  • In many cases, the quality of a product is determined by several correlated quality variables. Control charts have been used for a long time widely to control the production process and to quickly detect the assignable causes that may produce any deterioration in the quality of a product. Numerical switching performances of multivariate cumulative sum control chart for simultaneous monitoring all components in the dispersion matrix ${\Sigma}$ under multivariate normal process $N_p({\underline{\mu}},{\Sigma})$ are considered. Numerical performances were evaluated for various shifts of the values of variances and/or correlation coefficients in ${\Sigma}$. Our computational results show that if one wants to quick detect the small shifts in a process, CUSUM control chart with small reference value k is more efficient than large k in terms of average run length (ARL), average time to signal (ATS), average number of switches (ANSW).

다결정(多決定) 대안(代案)을 갖는 경제적(經濟的) 계량형(計量型) 샘플링검사방식(檢査方式) (An Economic Variables Sampling Plan with Multi-Decision Alternatives)

  • 배도선;홍성훈
    • 대한산업공학회지
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    • 제17권1호
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    • pp.1-8
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    • 1991
  • For situations where there are several markets for a product with different profit/cost structures, an economic variables sampling plan is developed for determining the market to ship the lots to. It is assumed that the quality characteristic X is normally distributed with known variability and unknown mean having a normal prior distribution. Profit models are constructed which involve four profit/cost components ; profit from a conforming item, inspection cost, replacement cost, and cost from an accepted nonconforming item. Methods of finding optimal sampling plan are presented and a numerical example is given.

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The Potential and Efficiency of Aquatic Product Trade between China and South Korea

  • Le Cao
    • Journal of Korea Trade
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    • 제27권2호
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    • pp.47-60
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    • 2023
  • Purpose - This paper assesses the trade potential and efficiency of Korea and China in the aquatic products trade. Trade efficiency and potential are the main factors that affect the growth of a country's trade. In this study, a time-varying stochastic frontier trade gravity model was constructed to analyze the trade potential and efficiency between Korea and China. By integrating the results of trade theory and empirical analysis, measures and suggestions were proposed to encourage the release of trade potential of fish exports between Korea and China. Design/methodology - In this paper, GDP per capita instead of economic size was chosen as an explanatory variable, and population size and relative distance were selected as explanatory variables to measure trade potential. For trade non-efficiency terms, regional organizations, political factors, and economic factors were mainly considered, and variables such as free trade agreements, political stability, regulatory quality, government efficiency, currency freedom, investment freedom, financial freedom, and trade freedom were selected. Panel data for South Korea and 14 aquatic products trading partners (including China) from 2002 to 2020 were used in the empirical analysis. Findings - In the past 19 years, South Korea's export trade potential of aquatic products to China has never been lower than 70%. It was above 90% from 2006 to 2018, and has been at a high level for a long time. This shows that China's aquatic product market has large potential for development. Originality/value - This study examines the effectiveness and potential of South Korea's exports of aquatic items to China in a methodical and comprehensive empirical manner. The evaluation of the export trade potential of South Korea's aquatic goods to China is more precise when the effects of regional organization, political, and economic variables are taken into account in the trade non-efficiency term of the stochastic frontier gravity model. At the same time, we propose to increase the scale of South Korea's aquatic products trade from the perspective of China's demand. This issue of trade studies is underexplored both empirically and in theory, although the issue has long been important to Korean and world trade.

비정규 분포에 대한 통계적 모멘트와 확률 제한조건의 민감도 해석 (Expansion of Sensitivity Analysis for Statistical Moments and Probability Constraints to Non-Normal Variables)

  • 허재성;곽병만
    • 대한기계학회논문집A
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    • 제34권11호
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    • pp.1691-1696
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    • 2010
  • 설계단계에서 시스템의 불확실성을 반영하려는 노력이 다양하게 이루어지고 있으며, 강건 최적설계 혹은 신뢰도 기반 최적설계는 이에 대한 대표적인 설계 방법론이다. 이러한 최적화 수식에는 성능함수의 평균, 표준편차와 확률제한조건이 목적함수와 제한조건으로 주로 활용된다. 그러므로, 이러한 통계적 특성치를 효과적으로 계산하는 것은 필수적이며, 더 나아가 최적화 과정에서 비선형 계획법이 일반적으로 활용되므로 민감도가 반드시 필요하다. 본 연구에서는 통계적 모멘트와 확률제한조건에 대해 적분 형태로 정의되는 민감도 수식을 비정규 분포로 확장하고자 한다. 얻어진 민감도 해석 결과는 통계적 모멘트와 손상확률이 설계점에서 계산된 경우, 민감도를 얻기 위해 추가로 성능함수를 계산할 필요가 없음을 보여주므로 효율성 측면에서 우수하다. 그러나, 민감도 수식이 성능함수와 확률밀도함수의 미분과정에서 얻어지는 함수의 곱으로 정의되므로, 동일한 수치적분 방법이 적용되는 경우 민감도 해석 결과는 통계적 모멘트 결과의 정확도에 미치지 못할 가능성이 있다.