• Title/Summary/Keyword: posterior consistency

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Posterior Consistency for Right Censored Data

  • Lee, Jae-Yong
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.39-45
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    • 2003
  • Ghosh and Ramamoorthi (1996) studied the posterior consistency for survival models and showed that the posterior was consistent, when the prior on the distribution of survival times was the Dirichlet process prior. In this paper, we study the posterior consistency of survival models with neutral to the right process priors which include Dirichlet process priors. A set of sufficient conditions for the posterior consistency with neutral to the right process priors are given. Interestingly, not all the neutral to the right process priors have consistent posteriors, but most of the popular priors such as Dirichlet processes, beta processes and gamma processes have consistent posteriors. For extended beta processes, a necessary and sufficient condition for the consistency is also established.

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Posterior Consistency of Bayesian Inference of Poisson Processes

  • Kim, Yongdai
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.825-834
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    • 2002
  • Poisson processes are widely used in reliability and survival analysis. In particular, multiple event time data in survival analysis are routinely analyzed by use of Poisson processes. In this paper, we consider large sample properties of nonparametric Bayesian models for Poisson processes. We prove that the posterior distribution of the cumulative intensity function of Poisson processes is consistent under regularity conditions on priors which are Levy processes.

The Research on EMG Tendency Following Increasing Record in Snatch Weightlifting (역도 인상동작 수행시 바벨 증가에 따른 EMG 경향성에 대한 연구)

  • Moon, Young-Jin;Lee, Soon-Ho;Lim, Bee-Oh
    • Korean Journal of Applied Biomechanics
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    • v.16 no.4
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    • pp.1-12
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    • 2006
  • This research was to know EMG tendency on increasing record in snatch weightlifting. In order to perform this research, we choiced 3 man national weightlifters, EMG analysis were executed on 8 major muscle(Latissimus Dorsi, Trapezius, Anterior Deltoid, Posterior Deltoid, Gastrocenemius, Vastus Medialis, Erector spinae, Abdominal). First trial record of athletics is 80% of each maximal record and increase the $5{\sim}10kg$ gradually. In this study, EMG signal scale of all muscle except posterior Deltoid muscle don't increased according to increasing the barbell weight, This showed a difference between general recognition and experiment result. In posterior Deltoid muscle, EMG signal scale increased according to increasing the barbell weight. It was assumed that EMG signal of protagonist shows possibility of linear increasing if motion have a consistency. It was assumed that In present, In order to increase one's record to $5{\sim}10kg$, Motion consistency training is more effective training method than increasing the muscle force.

CONSISTENCY AND ASYMPTOTIC NORMALITY OF A MODIFIED LIKELIHOOD APPROACH CONTINUAL REASSESSMENT METHOD

  • Kang, Seung-Ho
    • Journal of the Korean Statistical Society
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    • v.32 no.1
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    • pp.33-46
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    • 2003
  • The continual reassessment method (CRM) provides a Bayesian estimation of the maximum tolerated dose (MTD) in phase I clinical trials. The CRM has been proposed as an alternative design of the standard design. The CRM has been modified to improve practical feasibility and, recently, the likelihood approach CRM has been proposed. In this paper we investigate the consistency and asymptotic normality of the modified likelihood approach CRM in which the maximum likelihood estimate is used instead of the posterior mean. Small-sample properties of the consistency is examined using complete enumeration. Both the asymptotic results and their small-sample properties show that the modified CRML outperforms the standard design.

A SIMULATION STUDY OF BAYESIAN PROPORTIONAL HAZARDS MODELS WITH THE BETA PROCESS PRIOR

  • Lee, Jae-Yong
    • Journal of the Korean Statistical Society
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    • v.34 no.3
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    • pp.235-244
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    • 2005
  • In recent years, theoretical properties of Bayesian nonparametric survival models have been studied and the conclusion is that although there are pathological cases the popular prior processes have the desired asymptotic properties, namely, the posterior consistency and the Bernstein-von Mises theorem. In this study, through a simulation experiment, we study the finite sample properties of the Bayes estimator and compare it with the frequentist estimators. To our surprise, we conclude that in most situations except that the prior is highly concentrated at the true parameter value, the Bayes estimator performs worse than the frequentist estimators.

Evaluation of usefulness for Stereotactic Partial Breast Irradiation(S-PBI) by using Surface Fiducial Marker (표면위치표지자를 적용한 정위적 부분유방방사선치료의 유용성 평가)

  • Kim, JongYeol;Jung, DongMin;Kim, SeYoung;Yoo, HyunJong;Choi, JungHoan;Park, HyoKuk;Baek, JongGeol;Lee, SangKyu;Cho, JeongHee
    • The Journal of Korean Society for Radiation Therapy
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    • v.33
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    • pp.99-108
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    • 2021
  • Purpose: The goal of this study is to evaluate usefulness of noninvasive method instead of previous inserting Fiducial Marker Method when performing Stereotactic Partial Breast Irradiation in CyberKnife. Material and methods: For consistency of Imaging Center, we evaluated both oblique images at angle 45 and 315 acquired from 2D Simulator and CyberKnife quantitatively through dice similarity coefficient. Also, location reproducibility of Surface Fiducial Marker was analyzed from 2D Simulator, treatment plans and CyberKinfe images by using 8 Fiducial Markers made of gold attached to ATOM Phantom based on our institution's protocols. Results: The results of the estimated consistency were 0.87 and 0.9 at the oblique angle 45 and 315, respectively. For location consistency of Surface Fiducial Markers, values of horizontal vertical direction of left breast were Superior/Inferior 0.3 mm, Left/Right -0.3 mm, Anterior/Posterior 0.4 mm, and the values of rotational direction were Roll 0.3 °, Pitch 0.2 °, Yaw 0.4 °. The values of horizontal vertical direction of right breast were Superior/Inferior -0.1 mm, Left/Right -0.1 mm, Anterior/Posterior -0.1 mm, and the values of rotational direction were Roll 0.2°, Pitch 0.1°, Yaw 0.1°. Conclusions: We expect that the protocols used by Surface Fiducial Markers when performing Stereotactic Partial Breast Irradiation in CyberKnife will provide protection from pain and cut expenses for treatment and reduce treatment errors and make treatment more accurate by suggesting treatment protocols based on high consistency of Imaging Center and reproducibility of Fiducial Markers.

A review of tree-based Bayesian methods

  • Linero, Antonio R.
    • Communications for Statistical Applications and Methods
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    • v.24 no.6
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    • pp.543-559
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    • 2017
  • Tree-based regression and classification ensembles form a standard part of the data-science toolkit. Many commonly used methods take an algorithmic view, proposing greedy methods for constructing decision trees; examples include the classification and regression trees algorithm, boosted decision trees, and random forests. Recent history has seen a surge of interest in Bayesian techniques for constructing decision tree ensembles, with these methods frequently outperforming their algorithmic counterparts. The goal of this article is to survey the landscape surrounding Bayesian decision tree methods, and to discuss recent modeling and computational developments. We provide connections between Bayesian tree-based methods and existing machine learning techniques, and outline several recent theoretical developments establishing frequentist consistency and rates of convergence for the posterior distribution. The methodology we present is applicable for a wide variety of statistical tasks including regression, classification, modeling of count data, and many others. We illustrate the methodology on both simulated and real datasets.

Evaluation of the proximal contact and comparison of methods for measuring in normal dentition (건강한 자연치열에서 인접면 접촉의 평가 및 측정방법에 따른 비교분석)

  • Ji-Eun Kim;Cheong-Hee Lee
    • The Journal of Korean Academy of Prosthodontics
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    • v.61 no.3
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    • pp.198-203
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    • 2023
  • Purpose. The aim of this study was to evaluate the proximal contact with a dental floss compared to a celluloid strip and a metal strip in normal dental arch and investigate what the most effective method for measuring is. Materials and methods. The subjects of this study was consisted with 20 healthy adults (10 males and 10 females) who had normal dentition. A dentist with more than 5 years of clinical experience evaluated the proximal contacts using a dental floss method, a celluloid strip method, and a metal strip method. Statistical analysis were performed by the use of Mann-Whitney U test. A P-value < .05 was considered statistically significant in all analysis. In addition, in the evaluation of proximal contact using a dental floss, the measurement of proximal contact using a celluloid strip and a metal strip was compared. Results. 80 % of all proximal contact was proper. Proper proximal contact was observed at the posterior area compared to the anterior area (P < .05). And male had proper proximal contact at the anterior area, female had proper proximal contact at the posterior area (P < .05). The consistency analysis between the results of the celluloid strip and the metal strip experiment on the results obtained from the floss using the consistency scale Kappa index shows that using celluloid strip is more advantageous than using the metal strip. Conclusion. Only 80% of all proximal contact was proper. Using celluloid strips with various thickness for evaluating of proximal contact is considered to be helpful for accurate measuring of proximal contact.

Effect of different voxel sizes on the accuracy of CBCT measurements of trabecular bone microstructure: A comparative micro-CT study

  • Tayman, Mahmure Ayse;Kamburoglu, Kivanc;Ocak, Mert;Ozen, Dogukan
    • Imaging Science in Dentistry
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    • v.52 no.2
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    • pp.171-179
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    • 2022
  • Purpose: The aim of this study was to assess the accuracy of cone-beam computed tomographic (CBCT) images obtained using different voxel sizes in measuring trabecular bone microstructure in comparison to micro-CT. Materials and Methods: Twelve human skull bones containing posterior-mandibular alveolar bone regions were analyzed. CBCT images were obtained at voxel sizes of 0.075mm(high: HI) and 0.2mm(standard: Std), while microCT imaging used voxel sizes of 0.06 mm (HI) and 0.12 mm (Std). Analyses were performed using CTAn software with the standardized automatic global threshold method. Intraclass correlation coefficients were used to evaluate the consistency and agreement of paired measurements for bone volume (BV), percent bone volume (BV/TV), bone surface (BS), trabecular thickness (TbTh), trabecular separation (TbSp), trabecular number (TbN), trabecular pattern factor(TbPf), and structure model index (SMI). Results: When compared to micro-CT, CBCT images had higher BV, BV/TV, and TbTh values, while micro-CT images had lower BS, TbSp, TbN, TbPf, and SMI values (P<0.05). The BV, BV/BT, TbTh, and TbSp variables were higher with Std voxels, whereas the BS, TbPf, and SMI variables were higher with HI voxels for both imaging methods. For each imaging modality and voxel size evaluated, BV, BS, and TbTh were significantly different(P<0.05). TbN, TbPf, and SMI showed statistically significant differences between imaging methods(P<0.05). The consistency and absolute agreement between micro-CT and CBCT were excellent for all variables. Conclusion: This study demonstrated the potential of high-resolution CBCT imaging for quantitative bone morphometry assessment.

4 Cases of Head and Neck Philomatricoma (두경부에 발생한 모기질종(Pilomatricoma) 4예)

  • Chung Phil-Sang;Woo Seung-Houn;Lee Sang-Hun;Myong Na-Hye;Lee Sang-Joon
    • Korean Journal of Head & Neck Oncology
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    • v.20 no.1
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    • pp.62-66
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    • 2004
  • Pilomatricoma is a benign neoplasm of the hair follicle origin which most common occur in the head and neck, particularly in the cheek and preauricular region. This neoplasm is superficially located and stony, hard consistency on palpation and sometimes shows reddish or bluish discoloration on the overlying skin. The diagnosis is confirmed by histopathologic examination. Radiologic evaluation is little diagnostic and fine needle aspiration biopsy often misdiagnose because both tissues from basaloid cell component and shadow cell component should be obtained for correct diagnosis. And Otolaryngologist should consider the possibility of philomatricoma when childhood or early adulthood persion visits with hard, supferficial mass on the parotid or cheek area. The treatment of choice is surgical excision with clear resection margin. In many instances, overlying skin excision is needed. We report 4 cases of philomatricoma arising from preauricular, cheek and posterior neck.