• Title/Summary/Keyword: Product of normal variables

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

  • Na, Jong-Hwa;Kim, Jung-Mi
    • The Korean Journal of Applied Statistics
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    • v.22 no.1
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    • pp.171-179
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    • 2009
  • In this paper we studied the effective approximations to the distribution of the sum of products of normal variables. Based on the saddlepoint approximations to the quadratic forms, the suggested approximations are very accurate and easy to use. Applications to the FSK (Frequency Shift Keying) communication are also considered.

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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    • v.14 no.1
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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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The Multi-Faceted Influence of Price on Consumers' Purchasing Process of Apparel Products - Relationships with Attitudinal and Behavioral Variables - (다면적인 가격지각이 의복구매과정에 미치는 영향 - 구매태도 및 행동과의 관계를 중심으로 -)

  • 이규혜;이은영
    • Journal of the Korean Home Economics Association
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    • v.40 no.9
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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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    • v.40 no.5
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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.

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

  • Ku, Jin-Hee
    • Journal of Convergence for Information Technology
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    • v.7 no.1
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    • pp.55-60
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    • 2017
  • In order to provide intelligent services without human intervention in the Internet of Things environment, it is necessary to analyze the big data generated by the IoT device and learn the normal pattern, and to predict the abnormal symptoms such as faulty or malfunction based on the learned normal pattern. The purpose of this study is to implement a machine learning model that can predict product failure by analyzing big data generated in various devices of product process. The machine learning model uses the big data analysis tool R because it needs to analyze based on existing data with a large volume. The data collected in the product process include the information about product faulty, so supervised learning model is used. As a result of the study, I classify the variables and variable conditions affecting the product failure, and proposed a prediction model for the product failure based on the decision tree. In addition, the predictive power of the model was significantly higher in the conformity and performance evaluation analysis of the model using the ROC curve.

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

  • Zang, Qing-Pei
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.5
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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
    • Journal of Integrative Natural Science
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    • v.12 no.3
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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).

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

  • Bai, Do-Sun;Hong, Sung-Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.17 no.1
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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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    • v.27 no.2
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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.

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

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.11
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    • pp.1691-1696
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    • 2010
  • The efforts of reflecting the system's uncertainties in design step have been made and robust optimization or reliabilitybased design optimization are examples of the most famous methodologies. The statistical moments of a performance function and the constraints corresponding to probability conditions are involved in the formulation of these methodologies. Therefore, it is essential to effectively and accurately calculate them. The sensitivities of these methodologies have to be determined when nonlinear programming is utilized during the optimization process. The sensitivity of statistical moments and probability constraints is expressed in the integral form and limited to the normal random variable; we aim to expand the sensitivity formulation to nonnormal variables. Additional functional calculation will not be required when statistical moments and failure or satisfaction probabilities are already obtained at a design point. On the other hand, the accuracy of the sensitivity results could be worse than that of the moments because the target function is expressed as a product of the performance function and the explicit functions derived from probability density functions.