• Title/Summary/Keyword: Life Time Distribution Function

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A Study on the Trend Change Point of NBUE-property

  • Kim, Dae-Kyung
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.275-282
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    • 1996
  • A life distribution F with survival function $\overline{F}$=1-F, finite mean $\mu$ and mean residual life m(t) is said to be NBUE(NWUE) if m(t)$\leq$($\geq$) .$\mu$ for t$\geq$0. This NBUE property can equivalently be characterized by the fact that $\varphi$(u)$\geq$($\leq$)u for 0$\leq$u$\leq$1, where $\varphi$(u) is the scaled total-time-on test transform of F. A generalization of the NBUE properties is that there is a value of p such that $\varphi$(u)\geq.u$ for 0$\leq$u$\leq$p and $\varphi$(u)\leq$$\leq$u$\leq$1, or vice versa. This means that we have a trend change in the NBUE property. In this paper we point out an error of Klefsjo's paper (1988). He erroneously takes advantage of trend change point of failure rate to calculate the empirical test size and power in lognormal distribution. We solves the trend change point of mean residual lifetime and recalculate the empirical test size and power of Klefsjo (1988) in mocensoring case.

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The Comparative Study of Software Optimal Release Time Based on Log-Logistic Distribution (Log-Logistic 분포 모형에 근거한 소프트웨어 최적방출시기에 관한 비교연구)

  • Kim, Hee-Cheul
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.7
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    • pp.1-9
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    • 2008
  • In this paper, make a study decision problem called an optimal release policies after testing a software system in development phase and transfer it to the user. When correcting or modifying the software, because of the possibility of introducing new faults when correcting or modifying the software, infinite failure non-homogeneous Poisson process models presented and propose an optimal release policies of the life distribution applied log-logistic distribution which can capture the increasing! decreasing nature of the failure occurrence rate per fault. In this paper, discuss optimal software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, make out estimating software optimal release time.

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The Development of Predictive Growth Models for Total Viable Cells and Escherichia coli on Chicken Breast as a Function of Temperature

  • Heo, Chan;Kim, Ji-Hyun;Kim, Hyoun-Wook;Lee, Joo-Yeon;Hong, Wan-Soo;Kim, Cheon-Jei;Paik, Hyun-Dong
    • Food Science of Animal Resources
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    • v.30 no.1
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    • pp.49-54
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    • 2010
  • The aim of this research was to estimate the effect of temperature and develop predictive models for the growth of total viable cells (TVC) and Escherichia coli (EC) on chicken breast under aerobic and various temperature conditions. The primary models were determined by Baranyi model. The secondary models for the specific growth rate (SGR) and lag time (LT), as a function of storage temperature, were developed by the polynomial model. The initial contamination level of chicken breasts was around 4.3 Log CFU/g of TVC and 1.0 Log CFU/g of E. coli. During 216 h of storage, SGR of TVC showed 0.05, 0.15, and 0.54 Log CFU/g/h at 5, 15, and $25^{\circ}C$. Also, the growth tendency of EC was similar to those of TVC. As storage temperature increased, the values of SGR of microorganisms increased dramatically and the values of LT decreased inversely. The predicted growth models with experimental data were evaluated by $B_f$, $A_f$, RMSE, and $R^2$. These values indicated that these developed models were reliable to express the growth of TVC and EC on chicken breasts. The temperature changes of distribution and showcase in markets might affect the growth of microorganisms and spoilage of chicken breast mainly.

Evaluation on the Reliability Attributes of Finite Failure NHPP Software Reliability Model Based on Pareto and Erlang Lifetime Distribution (파레토 및 어랑 수명분포에 근거한 유한고장 NHPP 소프트웨어 신뢰성모형의 신뢰도 속성에 관한 평가)

  • Min, Kyung-il
    • Journal of Industrial Convergence
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    • v.18 no.3
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    • pp.19-25
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    • 2020
  • In the software development process, software reliability evaluation is a very important issue. In particular, finding the optimal development model that satisfies high reliability is the more important task for software developers. For this, in this study, Pareto and Erlang life distributions were applied to the finite failure NHPP model to evaluate the reliability attributes. For this purpose, parametric estimation is applied to the maximum likelihood estimation method, and nonlinear equations are calculated using the bisection method. As a result, the Erlang model showed better performance than the Pareto model in the evaluation of the strength function and the mean value function. Also, as a result of inputting future mission time and evaluating reliability, the Erlang model showed an effectively high trend together with the Pareto model, while the Goel-Okumoto basic model showed a decreasing trend. In conclusion, the Erlang model is the best model among the proposed models. Through this study, it is expected that software developers will be able to use it as a basic guideline for exploring and evaluating the optimal software reliability model.

Characteristics Analysis on Budget Distribution of Master Plan for Comprehensive Development Projects of Rural Villages (농촌마을종합개발사업의 기본계획 사업비 특성분석)

  • Kim, Dae-Sik;Lee, Seung-Han
    • Journal of Korean Society of Rural Planning
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    • v.17 no.1
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    • pp.13-27
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    • 2011
  • This study analyzed the budget investment plans for the unit-project items(UPI) of 176 project districts for the rural village comprehensive development projects (RVCDP). This study classified the master plan reports of 176 project districts into 88 unit project items in aspect of project management, in order to analyze characteristics of distribution of budget in each project item. Most of all unit project items have similar types of uniform distribution with plus skewness in frequency pattern analysis except the total budget of the project district. This study analyzed the characteristics of budget distribution per province, year, and geographical types of region. Furthermore this paper also analyzed ratio of budget in unit project items to find out distribution pattern of each budget between project items over time. The hierarchical system for UPI of RVCDP consisted of three steps, which are 4 items of the first step on Strength of Rural-urban Exchange & Regional Capability (RURC), Green-income Infrastructure & Facility (GIF), Culture- health-welfare Facility, and Eco-environment & Landscape facility (ELF), 13 items for the second one, and 52 items for the third project items. From the results of the budget investment analysis for 5 years from 2004 to 2008, the budget investment ratios of RURC and ELF have steady state for every year, while GIF in decreasing and ELF in increasing over time. The ratios of UPI on infrastructure were decreased, whereas those on culture, health, and welfare were increased. Portion of tow project items among 52 items, which are community centers for village residents and rural experimental study facility, has 30% of total budget investment. Futhermore, the budget ratios of seven project items showed 50% of total budget. Average value of project budgets for five years was optimized as a type of exponential function in the case of decent array for ranking order.

A Study on the Dextran Formation and Inner Structure of Jeung-Pyun during the Fermentation by the Added Chitosan-Oligosaccharide (키토산 올리고당 첨가 증편 발효 중 Dextran 형성과 증편의 내부구조에 관한 연구)

  • 남태희;우경자
    • Journal of the East Asian Society of Dietary Life
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    • v.13 no.2
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    • pp.122-129
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    • 2003
  • This study was carried out in order to investigate the dextran formation and the internal structure of the chitosan-oligisaccharide(COS) Jeung-Pyun during the fermentation. To develop a functional Jeung-Pyun, COS was added to the rice at the level of 0, 2, 4, and 6% to the 2-hour-soaked rice. The pH, dextran and reducing sugar contents of COS batter, specific volume and the internal structure of COS were analyzed as a function of fermentation time. The specific volume of COS peaked at the 3 hour fermentation. The pH values of COS batters reduced with the fermentation time. The dextran content of the control batters peaked at the 7 hour fermentation. In contrast, the dextran contents of COS batters reduced up to 7th hour of fermentation, and then increased slowly until 20th hour of the fermentation process. From the air pore size and distribution of COS observed by SEM, the COS fermented fur 3 hour was judged as the best. It was concluded that COS prevented the fermation of dextran at the early stage of fermentation process.

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Comparisons of Empirical Bayes Approaches to Censored Accelerated Lifetime Data (가속수명자료에 대향 경험적 베이즈 비료연구)

  • Cho, Geon-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.2
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    • pp.183-194
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    • 1997
  • In accelerated life tests, the failure time of an item is observed under a high stress level and based on the time, the failure rates of items we estimated at the normal stress level. In this paper, when the mean of the prior distribution of a parameter is known in Weibull lifetime model with censored failure time data, we study various estimating methods to obtain the empirical Bayes estimator of a parameter from the empirical Bayes approach under the normal stress level by considering the fact that the Bayes estimator is the function of prior parameters and of the acceleration parameter representing the effect of acceleration. And we compare the performance of several empirical Bayes estimators of a parameter in terms of the Bayes risk.

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INFLUENCE OF OCHRATOXIN A-INDUCED NEPHROTOXICITY ON THE PHARMACOKINETICS OF GENTAMICIN IN RATS

  • Son, Deok-Soo;Han, Sang-Seop
    • Toxicological Research
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    • v.7 no.1
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    • pp.37-46
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    • 1991
  • To evaluate the influence of ochratoxin A on the pharmarcokinetics of gentamicin, gentamicin concentrations in the serum, renal cortex and medulla together with parameters of the renal function and histological changes were compared between ochratoxin A-treated rats (0.1 mg of ochratoxin A/kg of body weight, ip, daily for 14 days) and normal rats. Gentamicin was given with a single intramuscular injection (10mg/kg of body weight). Ochratoxin A resulted in an increase of the half-life, the area under the concentration-time curve, the apparent volume of distribution and a decrease of the total body clearance of gentamicin, and accumulated significantly (p<0.01) more gentamicin in the kidneys.

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A Comparative Study on the Infinite NHPP Software Reliability Model Following Chi-Square Distribution with Lifetime Distribution Dependent on Degrees of Freedom (수명분포가 자유도에 의존한 카이제곱분포를 따르는 무한고장 NHPP 소프트웨어 신뢰성 모형에 관한 비교연구)

  • Kim, Hee-Cheul;Kim, Jae-Wook
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.10 no.5
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    • pp.372-379
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    • 2017
  • Software reliability factor during the software development process is elementary. Case of the infinite failure NHPP for identifying software failure, the occurrence rates per fault (hazard function) have the characteristic point that is constant, increases and decreases. In this paper, we propose a reliability model using the chi - square distribution which depends on the degree of freedom that represents the application efficiency of software reliability. Algorithm to estimate the parameters used to the maximum likelihood estimator and bisection method, a model selection based on the mean square error (MSE) and coefficient of determination($R^2$), for the sake of the efficient model, were employed. For the reliability model using the proposed degree of freedom of the chi - square distribution, the failure analysis using the actual failure interval data was applied. Fault data analysis is compared with the intensity function using the degree of freedom of the chi - square distribution. For the insurance about the reliability of a data, the Laplace trend test was employed. In this study, the chi-square distribution model depends on the degree of freedom, is also efficient about reliability because have the coefficient of determination is 90% or more, in the ground of the basic model, can used as a applied model. From this paper, the software development designer must be applied life distribution by the applied basic knowledge of the software to confirm failure modes which may be applied.

Utilization Status and Awareness of Adults Regarding Yaksun in Daegu and Gyeongbuk Region (대구.경북지역 성인들의 약선에 대한 이용실태 및 인식도)

  • Lim, Mee-Kyoung;Kim, Mee-Ra
    • Journal of the East Asian Society of Dietary Life
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    • v.22 no.2
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    • pp.208-218
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    • 2012
  • This study investigated the utilization status and awareness of adults living in Daegu and Gyeongbuk region. Frequencies, t-tests, ${\chi}^2$ tests, analysis of variance, Duncan's multiple range tests, and Spearman rank correlation were conducted by SPSS Windows V.18.0. Sixty-five percents of the respondents purchased Yaksun ingredients and cooked at home, 54% purchased cooked Yaksun at food shops of markets or department stores, and 82% purchased Yaksun at specialty stores. Many respondents answered that the main motivation for use of Yaksun was for improving health. Sixty-six percent of the respondents used Yaksun less than one time per month. Yaksun cooked with chicken was the most favorite Yaksun menu item. In addition, sanitary management of Yaksun ingredients was the most important item for distribution of Yaksun. Most respondents answered that Yaksun was more expensive than general foods. However, respondents demonstrated positive awareness regarding the function and efficacy of Yaksun for improving health.