• Title/Summary/Keyword: informative prior

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Orienteering Problem with Unknown Stochastic Reward to Informative Path Planning for Persistent Monitoring and Its Solution (지속정찰 임무의 경로계획을 위한 불확실 기댓값 오리엔티어링 문제와 해법)

  • Kim, Dooyoung
    • Journal of the Korea Institute of Military Science and Technology
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    • v.22 no.5
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    • pp.667-673
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    • 2019
  • We present an orienteering problem with unknown stochastic reward(OPUSR) model for persistent monitoring tasks with unknown event probabilities at each point of interest. Prior studies on orienteering problem for persistent monitoring task assume that rewards and event probabilities are known as a prior. In this paper, we propose a stochastic reward model with unknown event statistics and a path re-planning algorithm based on Bayesian reward inference. Experiments demonstrate the efficiency of our method.

Bayesian methods in clinical trials with applications to medical devices

  • Campbell, Gregory
    • Communications for Statistical Applications and Methods
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    • v.24 no.6
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    • pp.561-581
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    • 2017
  • Bayesian statistics can play a key role in the design and analysis of clinical trials and this has been demonstrated for medical device trials. By 1995 Bayesian statistics had been well developed and the revolution in computing powers and Markov chain Monte Carlo development made calculation of posterior distributions within computational reach. The Food and Drug Administration (FDA) initiative of Bayesian statistics in medical device clinical trials, which began almost 20 years ago, is reviewed in detail along with some of the key decisions that were made along the way. Both Bayesian hierarchical modeling using data from previous studies and Bayesian adaptive designs, usually with a non-informative prior, are discussed. The leveraging of prior study data has been accomplished through Bayesian hierarchical modeling. An enormous advantage of Bayesian adaptive designs is achieved when it is accompanied by modeling of the primary endpoint to produce the predictive posterior distribution. Simulations are crucial to providing the operating characteristics of the Bayesian design, especially for a complex adaptive design. The 2010 FDA Bayesian guidance for medical device trials addressed both approaches as well as exchangeability, Type I error, and sample size. Treatment response adaptive randomization using the famous extracorporeal membrane oxygenation example is discussed. An interesting real example of a Bayesian analysis using a failed trial with an interesting subgroup as prior information is presented. The implications of the likelihood principle are considered. A recent exciting area using Bayesian hierarchical modeling has been the pediatric extrapolation using adult data in clinical trials. Historical control information from previous trials is an underused area that lends itself easily to Bayesian methods. The future including recent trends, decision theoretic trials, Bayesian benefit-risk, virtual patients, and the appalling lack of penetration of Bayesian clinical trials in the medical literature are discussed.

A Meta-Analysis of Research on the Impact of Microcomputer-Based Laboratory in Science Teaching and Learning

  • Han, Hyo-Soon
    • Journal of The Korean Association For Science Education
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    • v.23 no.4
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    • pp.375-385
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    • 2003
  • In an effort to provide information about the effect of Microcomputer-Based Laboratory (MBL) use in science teaching and learning on student achievement and attitudes, a review of research analyzed studies was done between 1981 and 2001, using a meta-analysis procedure. Thirty-seven published and unpublished studies were reviewed. Use of MBL was shown to be potentially effective in the following condition of class; two students, physics teaching, more than one topic, or at the college level. Appropriate research design strategies, financial support (including hardware and software), and the use of more than one instrument for assessing the effect of the MBL instruction are crucial factors for more informative research studies. While helpful in many respects, the prior research revealed a number of problems related to the use of MBL in school science teaching and learning. The prior research does not support the desired intention described in the theory-based outcomes and reveals so little about how teachers and students use MBL, how it influences their teaching and learning, and how effectively it fits into the existing science curriculum. In order to know if the integration of MBL in the existing school science is worth it or not, more careful research design and comprehensive research should be done.

Efficient Mining of Interesting Patterns in Large Biological Sequences

  • Rashid, Md. Mamunur;Karim, Md. Rezaul;Jeong, Byeong-Soo;Choi, Ho-Jin
    • Genomics & Informatics
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    • v.10 no.1
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    • pp.44-50
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    • 2012
  • Pattern discovery in biological sequences (e.g., DNA sequences) is one of the most challenging tasks in computational biology and bioinformatics. So far, in most approaches, the number of occurrences is a major measure of determining whether a pattern is interesting or not. In computational biology, however, a pattern that is not frequent may still be considered very informative if its actual support frequency exceeds the prior expectation by a large margin. In this paper, we propose a new interesting measure that can provide meaningful biological information. We also propose an efficient index-based method for mining such interesting patterns. Experimental results show that our approach can find interesting patterns within an acceptable computation time.

Sparse Multinomial Kernel Logistic Regression

  • Shim, Joo-Yong;Bae, Jong-Sig;Hwang, Chang-Ha
    • Communications for Statistical Applications and Methods
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    • v.15 no.1
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    • pp.43-50
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    • 2008
  • Multinomial logistic regression is a well known multiclass classification method in the field of statistical learning. More recently, the development of sparse multinomial logistic regression model has found application in microarray classification, where explicit identification of the most informative observations is of value. In this paper, we propose a sparse multinomial kernel logistic regression model, in which the sparsity arises from the use of a Laplacian prior and a fast exact algorithm is derived by employing a bound optimization approach. Experimental results are then presented to indicate the performance of the proposed procedure.

SOME POINT ESTIMATES FOR THE SHAPE PARAMETERS OF EXPONENTIATED-WEIBULL FAMILY

  • Singh Umesh;Gupta Pramod K.;Upadhyay S.K.
    • Journal of the Korean Statistical Society
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    • v.35 no.1
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    • pp.63-77
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    • 2006
  • Maximum product of spacings estimator is proposed in this paper as a competent alternative of maximum likelihood estimator for the parameters of exponentiated-Weibull distribution, which does work even when the maximum likelihood estimator does not exist. In addition, a Bayes type estimator known as generalized maximum likelihood estimator is also obtained for both of the shape parameters of the aforesaid distribution. Though, the closed form solutions for these proposed estimators do not exist yet these can be obtained by simple appropriate numerical techniques. The relative performances of estimators are compared on the basis of their relative risk efficiencies obtained under symmetric and asymmetric losses. An example based on simulated data is considered for illustration.

Bayesian Mode1 Selection and Diagnostics for Nonlinear Regression Model (베이지안 비선형회귀모형의 선택과 진단)

  • 나종화;김정숙
    • The Korean Journal of Applied Statistics
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    • v.15 no.1
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    • pp.139-151
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    • 2002
  • This study is concerned with model selection and diagnostics for nonlinear regression model through Bayes factor. In this paper, we use informative prior and simulate observations from the posterior distribution via Markov chain Monte Carlo. We propose the Laplace approximation method and apply the Laplace-Metropolis estimator to solve the computational difficulty of Bayes factor.

Bayesian updated correlation length of spatial concrete properties using limited data

  • Criel, Pieterjan;Caspeele, Robby;Taerwe, Luc
    • Computers and Concrete
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    • v.13 no.5
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    • pp.659-677
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    • 2014
  • A Bayesian response surface updating procedure is applied in order to update the parameters of the covariance function of a random field for concrete properties based on a limited number of available measurements. Formulas as well as a numerical algorithm are presented in order to update the parameters of response surfaces using Markov Chain Monte Carlo simulations. The parameters of the covariance function are often based on some kind of expert judgment due the lack of sufficient measurement data. However, a Bayesian updating technique enables to estimate the parameters of the covariance function more rigorously and with less ambiguity. Prior information can be incorporated in the form of vague or informative priors. The proposed estimation procedure is evaluated through numerical simulations and compared to the commonly used least square method.

A new extension of Lindley distribution: modified validation test, characterizations and different methods of estimation

  • Ibrahim, Mohamed;Yadav, Abhimanyu Singh;Yousof, Haitham M.;Goual, Hafida;Hamedani, G.G.
    • Communications for Statistical Applications and Methods
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    • v.26 no.5
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    • pp.473-495
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    • 2019
  • In this paper, a new extension of Lindley distribution has been introduced. Certain characterizations based on truncated moments, hazard and reverse hazard function, conditional expectation of the proposed distribution are presented. Besides, these characterizations, other statistical/mathematical properties of the proposed model are also discussed. The estimation of the parameters is performed through different classical methods of estimation. Bayes estimation is computed under gamma informative prior under the squared error loss function. The performances of all estimation methods are studied via Monte Carlo simulations in mean square error sense. The potential of the proposed model is analyzed through two data sets. A modified goodness-of-fit test using the Nikulin-Rao-Robson statistic test is investigated via two examples and is observed that the new extension might be used as an alternative lifetime model.

A State-space Production Assessment Model with a Joint Prior Based on Population Resilience: Illustration with the Common Squid Todarodes pacificus Stock (자원복원력 개념을 적용한 사전확률분포 및 상태공간 잉여생산 평가모델: 살오징어(Todarodes pacificus) 개체군 자원평가)

  • Gim, Jinwoo;Hyun, Saang-Yoon;Yoon, Sang Chul
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.55 no.2
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    • pp.183-188
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    • 2022
  • It is a difficult task to estimate parameters in even a simple stock assessment model such as a surplus production model, using only data about temporal catch-per-unit-effort (CPUE) (or survey index) and fishery yields. Such difficulty is exacerbated when time-varying parameters are treated as random effects (aka state variables). To overcome the difficulty, previous studies incorporated somewhat subjective assumptions (e.g., B1=K) or informative priors of parameters. A key is how to build an objective joint prior of parameters, reducing subjectivity. Given the limited data on temporal CPUEs and fishery yields from 1999-2020 for common squid Todarodes pacificus, we built a joint prior of only two parameters, intrinsic growth rate (r) and carrying capacity (K), based on the resilience level of the population (Froese et al., 2017), and used a Bayesian state-space production assessment model. We used template model builder (TMB), a R package for implementing the assessment model, and estimating all parameters in the model. The predicted annual biomass was in the range of 0.76×106 to 4.06×106 MT, the estimated MSY was 0.13×106 MT, the estimated r was 0.24, and the estimated K was 2.10×106 MT.