• Title/Summary/Keyword: Log distribution

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Bivariate odd-log-logistic-Weibull regression model for oral health-related quality of life

  • Cruz, Jose N. da;Ortega, Edwin M.M.;Cordeiro, Gauss M.;Suzuki, Adriano K.;Mialhe, Fabio L.
    • Communications for Statistical Applications and Methods
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    • v.24 no.3
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    • pp.271-290
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    • 2017
  • We study a bivariate response regression model with arbitrary marginal distributions and joint distributions using Frank and Clayton's families of copulas. The proposed model is used for fitting dependent bivariate data with explanatory variables using the log-odd log-logistic Weibull distribution. We consider likelihood inferential procedures based on constrained parameters. For different parameter settings and sample sizes, various simulation studies are performed and compared to the performance of the bivariate odd-log-logistic-Weibull regression model. Sensitivity analysis methods (such as local and total influence) are investigated under three perturbation schemes. The methodology is illustrated in a study to assess changes on schoolchildren's oral health-related quality of life (OHRQoL) in a follow-up exam after three years and to evaluate the impact of caries incidence on the OHRQoL of adolescents.

Comparative Studies on the Design Floods Derived by Different Methods for the Parameters of the Log Pearson Type III Distribution (Log Pearson Type III 분포 모형에 의한 매개변수 유도방법별 설계홍수량의 비교 고찰)

  • Lee Soon-hyuk;Jong Youn-su;Maeng Sung-jin;Ryoo Kyong-sik
    • KCID journal
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    • v.4 no.1
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    • pp.34-50
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    • 1997
  • This study was conducted to derive optimal design floods by Log Pearson Type III distribution model of the annual maximum series at five watersheds along Geum, Yeong San and Seom Jin river systems. Design floods obtained by different methods for evaluatio

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Distribution Functions Describing the Microbiological Contamination of Seasoned Soybean Sprouts

  • Park, Jin-Pyo;Lee, Dong-Sun;Paik, Hyun-Dong
    • Food Science and Biotechnology
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    • v.17 no.3
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    • pp.659-663
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    • 2008
  • Different statistical distribution functions were examined to find an adequate distribution function to describe the microbial contamination behavior of a Korean side dish product, seasoned soybean sprouts for different seasons and market groups. The triang distribution was the best for any market groups in winter, while the logistic distribution could describe the microbial contamination in log CFU/g for all the market groups in spring and summer. From parametric bootstrapping based on the fitted distributions, it was found that a normal distribution could describe the distribution of mean microbial count in log CFU/g for all the seasons and market groups. Statistical parameters for each season/market group are presented to estimate the confidence interval.

Noninformative priors for the log-logistic distribution

  • Kang, Sang Gil;Kim, Dal Ho;Lee, Woo Dong
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.227-235
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    • 2014
  • In this paper, we develop the noninformative priors for the scale parameter and the shape parameter in the log-logistic distribution. We developed the first and second order matching priors. It turns out that the second order matching prior matches the alternative coverage probabilities, and is a highest posterior density matching prior. Also we revealed that the derived reference prior is the second order matching prior for both parameters, but Jerffrey's prior is not a second order matching prior. We showed that the proposed reference prior matches the target coverage probabilities in a frequentist sense through simulation study, and an example based on real data is given.

Bilevel-programming based failure-censored ramp-stress ALTSP for the log-logistic distribution with warranty cost

  • Srivastava, P.W.;Sharma, D.
    • International Journal of Reliability and Applications
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    • v.17 no.1
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    • pp.85-105
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    • 2016
  • In this paper accelerated life testing is incorporated in quality control technique of acceptance sampling plan to induce early failures in high reliability products.Stress under accelerated condition can be applied in constant-stress, step-stress and progressive-stress or combination of such loadings. A ramp-stress results when stress is increased linearly (from zero) with time. In this paper optimum failure-censored ramp-stress accelerated life test sampling plan for log-logistic distribution has been formulated with cost considerations. The log-logistic distribution has been found appropriate for insulating materials. The optimal plans consist in finding optimum sample size, sample proportion allocated to each stress, and stress rate factor such that producer's and consumer's interests are safeguarded. Variance optimality criterion is used when expected cost per lot is not taken into consideration, and bilevel programming approach is used in cost optimization problems. The methods developed have been illustrated using some numerical examples, and sensitivity analyses carried out in the context of ramp-stress ALTSP based on variable SSP for proportion nonconforming.

The Comparative Study of Software Optimal Release Time of Finite NHPP Model Considering Half-Logistic and Log-logistic Distribution Property (반-로지스틱과 로그로지스틱 NHPP 분포 특성을 이용한 소프트웨어 최적방출시기 비교 연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.9 no.2
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    • pp.1-10
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    • 2013
  • 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. In the course of correcting or modifying the software, finite failure non-homogeneous Poisson process model, presented and was proposed release policies of the life distribution, half-logistic and log-logistic distributions model which used to an area of reliability because of various shape and scale parameter. 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, the parameter estimation using maximum likelihood estimation of failure time data make out, and software optimal release time was estimated.

Default Bayesian one sided testing for the shape parameter in the log-logistic distribution

  • Kang, Sang Gil
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1583-1592
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    • 2015
  • This paper deals with the problem of testing on the shape parameter in the log-logistic distribution. We propose default Bayesian testing procedures for the shape parameter under the reference priors. The reference prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. We can solve the this problem by the intrinsic Bayes factor and the fractional Bayes factor. Therefore we propose the default Bayesian testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

An Analysis of Search Log from a Story Database Service and a New Story Search Method based on Story Map (스토리 검색 서비스의 사용자 기록 분석 및 스토리맵에 의한 새로운 스토리 검색 방법)

  • Kim, Myoung-Jun
    • Journal of Digital Contents Society
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    • v.16 no.5
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    • pp.795-803
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    • 2015
  • is a service providing story synopsis that matches user's query. This paper analyzes the user log of and shows the tendency distribution of user creation in comparison to stories in database. We also investigate the log to see possible improvements on search method. This paper proposes a concept of Story Map, in which the query-answer information is projected into spatial coordinates, and a new story search UI based on it. Using the Story Map, users are able to see entire spatial distribution of story database so that they can quickly and intuitively find a story on the map.

Vector Quantization based Speech Recognition Performance Improvement using Maximum Log Likelihood in Gaussian Distribution (가우시안 분포에서 Maximum Log Likelihood를 이용한 벡터 양자화 기반 음성 인식 성능 향상)

  • Chung, Kyungyong;Oh, SangYeob
    • Journal of Digital Convergence
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    • v.16 no.11
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    • pp.335-340
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    • 2018
  • Commercialized speech recognition systems that have an accuracy recognition rates are used a learning model from a type of speaker dependent isolated data. However, it has a problem that shows a decrease in the speech recognition performance according to the quantity of data in noise environments. In this paper, we proposed the vector quantization based speech recognition performance improvement using maximum log likelihood in Gaussian distribution. The proposed method is the best learning model configuration method for increasing the accuracy of speech recognition for similar speech using the vector quantization and Maximum Log Likelihood with speech characteristic extraction method. It is used a method of extracting a speech feature based on the hidden markov model. It can improve the accuracy of inaccurate speech model for speech models been produced at the existing system with the use of the proposed system may constitute a robust model for speech recognition. The proposed method shows the improved recognition accuracy in a speech recognition system.

Microbial Monitoring and Exploring Ways to Prevent or Minimize Microbial Contamination at the Production and Distribution Stages of Fresh Strawberries (신선한 딸기의 생산 및 유통 단계에서의 미생물 모니터링 및 미생물 오염 방지 또는 저감화 방법 모색)

  • Kim, Sol-A;Lee, Jeong-Eun;Kim, Go-Un;Kim, Soo-Hwan;Shim, Won-Bo
    • Journal of Food Hygiene and Safety
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    • v.32 no.6
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    • pp.485-492
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    • 2017
  • This study investigated to determine the microbial contamination levels of strawberries at harvest and distribution stages and to suggest a control measure for reducing the microbial contamination of strawberries by replacing worker's gloves used at harvest and distribution stages. According to the monitoring results, the contamination levels of total aerobic bacteria (TAB) were in the order of soil ($7.12{\pm}0.61{\log}_{10}CFU/g$), gloves ($6.06{\pm}1.80{\log}_{10}CFU/cm^2$), strawberry ($3.28{\times}0.98{\log}_{10}CFU/g$), and water ($3.08{\pm}0.55{\log}_{10}CFU/g$) at harvest stage. TAB of strawberry at was harvest stage reduced from $3.28{\pm}0.98{\log}_{10}CFU/g$ to $1.85{\pm}0.21{\log}_{10}CFU/g$ and $2.6{\pm}0.30{\log}_{10}CFU/g$ at cold and room temperature storage, respectively. By the replacement of worker's gloves and distribution temperature, TAB levels of the strawberries were significantly reduced when compared to those of the strawberries treated without replacement of worker's gloves and distributed at room temperature. For reusing the replaced gloves, washing with a commercial disinfectant, clorox, was effective to reduce microorganisms contaminated on the worker's gloves. These results demonstrated that appropriate replacement of gloves at the harvest and distribution stages is an effective method for reducing microbial contamination of fresh strawberries.