• Title/Summary/Keyword: Weibull Distribution Function

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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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A Model to Explain Temperature Dependent Systemic Infection of Potato Plants by Potato virus Y

  • Choi, Kyung San;Toro, Francisco del;Tenllado, Francisco;Canto, Tomas;Chung, Bong Nam
    • The Plant Pathology Journal
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    • v.33 no.2
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    • pp.206-211
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    • 2017
  • The effect of temperature on the rate of systemic infection of potatoes (Solanum tuberosum L. cv. Chu-Baek) by Potato virus Y (PVY) was studied in growth chambers. Systemic infection of PVY was observed only within the temperature range of $16^{\circ}C$ to $32^{\circ}C$. Within this temperature range, the time required for a plant to become infected systemically decreased from 14 days at $20^{\circ}C$ to 5.7 days at $28^{\circ}C$. The estimated lower thermal threshold was $15.6^{\circ}C$ and the thermal constant was 65.6 degree days. A systemic infection model was constructed based on experimental data, using the infection rate (Lactin-2 model) and the infection distribution (three-parameter Weibull function) models, which accurately described the completion rate curves to systemic infection and the cumulative distributions obtained in the PVY-potato system, respectively. Therefore, this model was useful to predict the progress of systemic infections by PVY in potato plants, and to construct the epidemic models.

Influence of Granules Characteristics and Compaction Pressure on the Microstructure and Mechanical Properties of Sintered Alumina

  • Cho, Yong-Ick;Chung, Sang-Gwi;Cho, Sung-Yong;Kim, Seung-Jai;Nobuhiro Shinohara;Masataro Okumiya
    • Journal of the Korean Ceramic Society
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    • v.38 no.3
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    • pp.212-217
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    • 2001
  • The influence of granules characteristics and compaction pressure on the microstructure and mechanical properties of sintered as a function of slurry dispersion state. The characteristics and the compaction behavior of the spray dried alumina granules considerably affected the microstructure as well as the mechanical properties of the sintered body. In the green bodies formed with granules prepared with a dispersed slurry, the granules with dimple clearly existed and caused pore defects in sintered body. These dimples were clearly present even in the green body prepared at 180 MPa. The pores between the granules were not removed during pressing and sintering, and remained in the sintered body. In contrast, in the granules fabricated from a flocculated slurry, the destroy of granules at the contact points was observed with increasing pressure. Sintered bodies fabricated with fewer defects showed strength increase. For the sample fabricated with flocculated slurry, the pores at the boundaries of granules were small and more irregular shape compared with those of dispersed slurry.

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A Study on the Performance Prediction Technique for Small Hydro Power Plants (소수력발전소의 성능예측 기법)

  • Park, Wan-Soon;Lee, Chul-Hyung
    • Journal of Hydrogen and New Energy
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    • v.14 no.1
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    • pp.61-68
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    • 2003
  • This paper presents the methodology to analyze flow duration characteristics and performance prediction technique for small hydro power(SHP) Plants and its application. The flow duration curve can be decided by using monthly rainfall data at the most of the SHP sites with no useful hydrological data. It was proved that the monthly rainfall data can be characterized by using the cumulative density function of Weibull distribution and Thiessen method were adopted to decide flow duration curve at SHP plants. And, the performance prediction technique has been studied and development. One SHP plant was selected and performance characteristics was analyzed by using the developed technique, Primary design specfications such as design flowrate, plant capacity, operational rate and annual electricity production for the SHP plant were estimated, It was found that the methodology developed in this study can be a useful tool to predict the performance of SHP plants and candidate sites in Korea.

Fatigue Strength Assessment of Spot-Welded Lap Joint Using Strain Energy Density Factor

  • Sohn, Ilseon;Bae, Dongho
    • Journal of Mechanical Science and Technology
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    • v.15 no.1
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    • pp.44-51
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    • 2001
  • One of the recent issues in design of the spot-welded structure such as the automobile body is to develop an economical prediction method of the fatigue design criterion without additional fatigue test. In this paper, as one of basic investigation for developing such methods, fracture mechanical approach was investigated. First, the Model I, Mode II and Mode III, stress intensity factors were analyzed. Second, strain energy density factor (S) synthetically including them was calculated. And finally, in order to decide the systematic fatigue design criterion by using this strain energy density factor, fatigue data of the ΔP-N(sub)f obtained on the various in-plane bending type spot-welded lap joints were systematically re-arranged in the ΔS-N(sub)f relation. And its utility and reliability were verified by the theory of Weibull probability distribution function. The reliability of the proposed fatigue life prediction value at 10(sup)7 cycles by the strain energy density factor was estimated by 85%. Therefore, it is possible to decide the fatigue design criterion of spot-welded lap joint instead of the ΔP-N(sub)f relation.

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Estimation on the Physical Habitat Suitability of Benthic Macroinvertebrates in the Gapyeong Stream (가평천 저서성 대형무척추동물의 물리적 서식처 적합성 평가)

  • Kong, Dongsoo;Kim, Ah Reum
    • Journal of Korean Society on Water Environment
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    • v.33 no.3
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    • pp.311-325
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    • 2017
  • Habitat suitability index (HSI) of 17 benthic macroinvertebrate taxa, which were lotic insects of generic category except Potamanthidae in mayfly, was developed for three physical habitat factors (current velocity, water depth and substrate) based on an ecological monitoring in a Korean stream (Gapyeong). Weibull model was used as a probability density function to analyze the distribution of individual abundance related with physical factors, which showed it was so available. Number of species and total individual abundance increased along with the increase of current velocity and the mean diameter of substrate, and decreased along with the increase of water depth. Most taxa showed a clear preference for a fast current velocity, shallow water depth and coarse substrate except Ephemera, Potamanthidae (mayfly), and Plectrocnemia (caddisfly) which were rheophobic, potamophilic and lithophobious. Based on the canonical correspondence analysis, the relative importance of each factor was determined as follows: current velocity > substrate > water depth.

The Fatigue Cumulative Damage and Life Prediction of GFRP under Random Loading (랜덤하중하의 GFRP의 피로누적손상거동과 피로수명예측)

  • Kim, Jeong-Gyu;Sim, Dong-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3892-3898
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    • 1996
  • In this study, the prediction of the fatigue life as well as the extimation of the characteristics of fatigue cumulative damage on GFRP under random loading were performed. The constant amplitude tests and the ramdom loading test were carried on notched GFRP specimens with a circular hole. Random waves were generated with a micro-computer and had wide band spectra. Since it is useful that the prediction of fatigue life ot the given load sequences is based on S-N curves under constant amplitude loading, the estimation of equivalent stress is done on every random waves. The equivalent stress wasat first estimated by Miner's rule and then by the proposed model which was based on Hashin-Rotem's comulative damage theory regarding nonlinear fatigue cumulative damage behavior. The fatigue lives were predicted from each equivalent stress evaluated. And each predicted fatigue llife was compared with experimental results. The number of cycles of random loads were counted by mean-cross counting method. The reuslts showed that the fatigue life predicted by proposed model was correlated well with the experimental results in comparison with Miner's model.

A Study of Life Prediction Assessment of T/L 36,000 Ibs Porcelain Insulators (송전용 36,000 lbs 자기애자의 수명 예측 연구)

  • Choi, In-Hyuk;Choi, Yon-Gyu;Lee, Dong-Il;Lee, Won-Kyo;Kang, Byoung-Kyu;Park, Jun-Ho
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.20 no.7
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    • pp.636-644
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    • 2007
  • 36,000lbs porcelain insulators of D-1995, D-1997 and D-2002 investigated mechanical and electrical qualities, where is process of using in the Korea 154 kV transmission lines. It analyzes the cause of the elapse of a year aging of the transmission insulators. Weibull distribution function, product quality and uniform quality, etc. investigated for prediction to extant life of insulator. It calculate change as statistical elapse of a year through product qualities of used insulator and new insulator, uniform equality and uniformity of insulator. In case of D-1995 year used insulator, it decided to badness decline index k by 0.0237, badness quality index by 1.0 and 3.0. Result of extant confidence life Ym was calculated that remain each 4 yens and 0.7 yens that uniformity index is considered. Extant life of D-1997 and D-2002 insulators Predicted by about 40 years.

On the Statistical Properties of the Parameters B and q in Creep Crack Growth Law, da/dt=B(C*)q, in the Case of Mod. 9Cr-1Mo Steel (Mod. 9Cr-1Mo강의 크리프 균열 성장 법칙의 파라메터 B와 q의 통계적 성질에 관한 연구)

  • Kim, Seon-Jin;Park, Jae-Young;Kim, Woo-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.3
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    • pp.251-257
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    • 2011
  • This paper deals with the statistical properties of parameters B and q in the creep crack growth rate (CCGR) law, da/dt=B$(C^*)^q$, in Mod. 9Cr-1Mo (ASME Gr.91) steel which is considered a candidate materials for fabricating next generation nuclear reactors. The CCGR data were obtained by creep crack growth (CCG) tests performed on 1/2-inch compact tension (CT) specimens under an applied load of 5000N at a temperature of $600^{\circ}C$. The CCG behavior was analyzed statistically using the empirical equation between CCGR, da/dt and the creep fracture mechanics parameter, $C^*$. The B and q values were determined for each specimen by the least-squares fitting method. The probability distribution functions for B and q were investigated using normal, log-normal, and Weibull distributions. As far as this study is considered, it can be appeared that B and q followed the log-normal and Weibull distributions. Moreover, a strong positive linear correlation was found between B and q.

A Case Study: Improvement of Wind Risk Prediction by Reclassifying the Detection Results (풍해 예측 결과 재분류를 통한 위험 감지확률의 개선 연구)

  • Kim, Soo-ock;Hwang, Kyu-Hong
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.23 no.3
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    • pp.149-155
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    • 2021
  • Early warning systems for weather risk management in the agricultural sector have been developed to predict potential wind damage to crops. These systems take into account the daily maximum wind speed to determine the critical wind speed that causes fruit drops and provide the weather risk information to farmers. In an effort to increase the accuracy of wind risk predictions, an artificial neural network for binary classification was implemented. In the present study, the daily wind speed and other weather data, which were measured at weather stations at sites of interest in Jeollabuk-do and Jeollanam-do as well as Gyeongsangbuk- do and part of Gyeongsangnam- do provinces in 2019, were used for training the neural network. These weather stations include 210 synoptic and automated weather stations operated by the Korean Meteorological Administration (KMA). The wind speed data collected at the same locations between January 1 and December 12, 2020 were used to validate the neural network model. The data collected from December 13, 2020 to February 18, 2021 were used to evaluate the wind risk prediction performance before and after the use of the artificial neural network. The critical wind speed of damage risk was determined to be 11 m/s, which is the wind speed reported to cause fruit drops and damages. Furthermore, the maximum wind speeds were expressed using Weibull distribution probability density function for warning of wind damage. It was found that the accuracy of wind damage risk prediction was improved from 65.36% to 93.62% after re-classification using the artificial neural network. Nevertheless, the error rate also increased from 13.46% to 37.64%, as well. It is likely that the machine learning approach used in the present study would benefit case studies where no prediction by risk warning systems becomes a relatively serious issue.