• Title/Summary/Keyword: hazard rate function

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Bayesian Method for Sequential Preventive Maintenance Policy

  • Kim Hee Soo;Kwon Young Sub;Park Dong Ho
    • Proceedings of the Korean Reliability Society Conference
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    • 2005.06a
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    • pp.131-137
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    • 2005
  • In this paper, we propose a Bayesian approach to determine the adaptive preventive maintenance(PM) policy for a general sequential imperfect PM model proposed by Lin, Zuo and Yam(2000) that PM not only reduces the effective age of the system but also changes the hazard rate function. Assuming that the failure times follow Weibull distribution, we adopt a Bayesian approach to update unknown parameters and determine the Bayesian optimal sequential PM policies. Finally, numerical examples of the optimal adaptive PM policy are presented for illustrative purposes.

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A Study on the Application of Survival Analysis to Terminated Life Insurance Polices

  • Kang, Jung-Chul
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.237-253
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    • 2005
  • In Korea, the volume of insurance industry has been increased rapidly with helping the economic growth, the increment of GNP and derive of public welfare policy. But the other side of the volume increment, the life insurers have some problems, such as the high rate of turnover, lapses and surrenders, in processing of acquiring more insurance contracts. The object of this paper is the analysis of the causes and properties of the high rate of turnover, lapses and surrenders using statistical survival model. Also we hope that the insurers will use the results of analysis to reduce the rates.

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공공연구기관의 기술이전모형연구와 그 정책적 함의 발표분야 : 기술경제, 기술정책분야(기술이전)

  • 류태규;박종복;이정동;김태유
    • Proceedings of the Technology Innovation Conference
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    • 2002.06a
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    • pp.203-223
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    • 2002
  • In Korea, Public Research Institutes(PRIs) are today faced with the challenges of creating values by transferring technologies in store within themselves to private commercial sector. Recently, It has been increasingly pointed out that PRIs have the poor capability to valuate prospective technologies of their own, and don't run the reasonable technology transfer mechanism in terms of establishing royalty rate and initial payment, designing remuneration to inventor, screening qualified licensee, and controlling the moral hazard. This paper develops an enhanced mathematical model of technology transfer from a PRI to a private industrial firm with including the inventor as an important player. The model is made up of the main part which derives the optimal royalty rate by maximizing the social welfare and sharing risk fairly between players and some sub-parts. The one sub-part is a principal-agent model which makes it possible to control the moral hazard of inventors, and the other part provides the criteria for screening appropriate licensees. Moreover, the moral hazard between inventor and licensee is addressed by introducing the cost reduction function of efforts exerted by them. The model is able to relate the optimal royalty rate to the parameters that represent the environments under which the concerned parties operate. Especially, the ratio of initial payment over the value of transferred technology is calculated from the binding relation with the royalty rate. The paper shows that the model suggested here is more enhanced by comparing with the existing technology transfer mechanism. Finally, the paper allows us to find better strategies for effective technology transfer and further develop more sophisticated technology transfer model.

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A Study on the Properties of the Heavy Duty Rust-Converting Agent used in the Potential Hazard Areas of Fire & Explosion (잠재적 화재.폭발 위험 지역 작업용 녹전환형 중방식 코팅제의 특성에 관한 연구)

  • 강영구
    • Journal of the Korean Society of Safety
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    • v.13 no.3
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    • pp.102-111
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    • 1998
  • This study was concerned with the development of a heavy duty rust-converting agent, the function of which is to form metal complex coatings, containing vinyl halide-acrylic terpolymer emulsion, defoamer, emulsifying agent, glass flakes, chelating agent such as gallotannic acid, gallic acid, and pyrogallic acid, and other additives. The resulted emulsion products(Sample No.1~No.5) were characterized through test either in the forms of emulsions, which include Viscosity, Penetration rate, Acidity and Film drying rate test, or in the forms of coated layer on rusty steel substrates by FT-IR, which include hardness, gloss, salt spray, adhesion and flame retardant test. The test results are as follows ; Penetration rate(0.1~0.4 mm/min), Solid content(70%), Acidity (pH 1.8~2.0), Specific gravity(1.30~1.35), Film drying rate(108min, RH 40% ; 150min, RH 80%), Gloss(83~92, incident angle $60^{\circ}$; 88~97, incident angle $85^{\circ}$), Pencil hardness(4H~5H), Adhesion (100/100), Salt spray test(>720Hr), LOI(%) value(38%), Vertical burning test(UL 94-v-l). According to the various performance of specimens show above, the evaluation of the availability of this heavy duty rust-converting agent can be concluded that all the samples(No.1~No.5) are capable of being used in the field of chemical plant and in the hazard areas of fire and explosion potential. It was observed that the properties of sample No.2, especially gloss and hardness, were much better than that of the other samples.

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Comparison of parametric and nonparametric hazard change-point estimators (모수적과 비모수적 위험률 변화점 통계량 비교)

  • Kim, Jaehee;Lee, Sieun
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.5
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    • pp.1253-1262
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    • 2016
  • When there exists a change-point in hazard function, it should be estimated for exact parameter or hazard estimation. In this research, we compare the hazard change-point estimators. Matthews and Farewell (1982) parametric change-point estimator is based on the likelihood and Zhang et al. (2014) nonparametric estimator is based on the Nelson-Aalen cumulative hazard estimator. Simulation study is done for the data from exponential distribution with one hazard change-point. The simulated data generated without censoring and the data with right censoring are considered. As real data applications, the change-point estimates are computed for leukemia data and primary biliary cirrhosis data.

The Assessing Comparative Study for Statistical Process Control of Software Reliability Model Based on polynomial hazard function (다항 위험함수에 근거한 NHPP 소프트웨어 신뢰모형에 관한 통계적 공정관리 접근방법 비교연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.8 no.5
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    • pp.345-353
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    • 2015
  • There are many software reliability models that are based on the times of occurrences of errors in the debugging of software. It is shown that it is possible to do parameter inference for software reliability models based on finite failure model and non-homogeneous Poisson Processes (NHPP). For someone making a decision to market software, the conditional failure rate is an important variables. In this case, finite failure model are used in a wide variety of practical situations. Their use in characterization problems, detection of outlier, linear estimation, study of system reliability, life-testing, survival analysis, data compression and many other fields can be seen from the many study. Statistical process control (SPC) can monitor the forecasting of software failure and thereby contribute significantly to the improvement of software reliability. Control charts are widely used for software process control in the software industry. In this paper, proposed a control mechanism based on NHPP using mean value function of polynomial hazard function.

LCC Optimization for Reinforced Concrete Structures under Seismic Hazards

  • Park, Soon-Kyu
    • KCI Concrete Journal
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    • v.13 no.2
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    • pp.26-32
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    • 2001
  • A simple expected damage cost model is developed and a systematic approach to evaluate the economic effects of seismic hazards to reinforced concrete structures is presented. An expected damage cost function during a specific lifetime is modeled by a Poisson's process with uniform continuous cash flow assumption. It is possible that the proposed method can decouple the damage cost effect from random earthquake events. Thus, expected damage cost function can be formulated as a combination of three independent terms; a present worth factor of Poisson's process, a damage cost interpolation function and a mean occurrence rate of earthquake intensity. The validity of the proposed method is demonstrated by a comparative study of LCC evaluations with the previous study.

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New generalized inverse Weibull distribution for lifetime modeling

  • Khan, Muhammad Shuaib;King, Robert
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.147-161
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    • 2016
  • This paper introduces the four parameter new generalized inverse Weibull distribution and investigates the potential usefulness of this model with application to reliability data from engineering studies. The new extended model has upside-down hazard rate function and provides an alternative to existing lifetime distributions. Various structural properties of the new distribution are derived that include explicit expressions for the moments, moment generating function, quantile function and the moments of order statistics. The estimation of model parameters are performed by the method of maximum likelihood and evaluate the performance of maximum likelihood estimation using simulation.

BIVARIATE DYNAMIC CUMULATIVE RESIDUAL TSALLIS ENTROPY

  • SATI, MADAN MOHAN;SINGH, HARINDER
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.45-58
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    • 2017
  • Recently, Sati and Gupta (2015) proposed two measures of uncertainty based on non-extensive entropy, called the dynamic cumulative residual Tsallis entropy (DCRTE) and the empirical cumulative Tsallis entropy. In the present paper, we extend the definition of DCRTE into the bivariate setup and study its properties in the context of reliability theory. We also define a new class of life distributions based on bivariate DCRTE.

Statistical Lifetime Analysis for Large Electric Power Equipments using Failure Data (고장데이터를 이용한 대용량 전력설비 통계적 수명분석)

  • Kim, Jeong-Tae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.11
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    • pp.1605-1611
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    • 2017
  • In this study, the characteristic lifetime of power facilities such as power transformers and GIS were investigated as the basis of power facility asset management. It is difficult to obtain the operation and failure data of the facilities in Korea. Therefore, the number of failures of the electric power facilities was calculated from the operation data and hazard rate shown in the overseas literatures, and the statistical analysis was performed using the Weibull distribution function. As a result of extracting and analyzing the data of the UK National Grid for power transformers, the characteristic lifetime (scale parameter) of 116.45 years was considered to be a very appropriate value for power transformer management and can be used as a comparative data of the analysis of the domestic transformers. As for the GIS, based on the Bays and Bay-Years data and the hazard rate according to the operation years of the 123kV GIS in Germany, it is found out that the characteristic lifetime of GIS is not so meaningful. It is necessary to decide a maintenance strategy and lifetime expectancy considering the characteristics of the design, materials and manufacturing process of GIS.