• 2017 5th ITCDM
    2017 5th ITCDM

    2017/07/18~2017/07/21 5th ITCDM

  • 我們的
    我們的"淡江"年代

    展開大學新生活~!!!

  • 讓我們一起展翅飛翔
    讓我們一起展翅飛翔

    Take your dream. Fly high.... 

主講人:吳裕振教授 (Yuh-Jenn Wu)中原大學應用數學系

 題:A flexible Bayesian non-parametric approach for fitting the odds to case II interval-censored data

  期:10719日(星期二)

 間:下午13:30

  點:科學館S433

摘要:

Interval-censored survival data arise often in medical applications and clinical trials [1]. However, most of existing interval-censored survival analysis techniques suffer from challenges such as heavy computational cost or non-proportionality of hazard rates due to complicated data structure [2, 3]. To address these challenges, in this paper, we introduce a flexible Bayesian non-parametric procedure for the estimation of the odds under interval censoring, case II. We use Bernstein polynomials to introduce a prior for modeling the odds and propose a novel and easy-to-implement sampling manner based on the Markov chain Monte Carlo algorithms to study the posterior distributions. We also give general results on asymptotic properties of the posterior distributions. The simulated examples show that the proposed approach is quite satisfactory in the cases considered. The use of the proposed method is further illustrated by analyzing the hemophilia study data [4].

KEYWORDS 

case II interval-censored data; odds; Bernstein polynomials; Markov chain Monte Carlo

 Work with Wei-Quan Fangb, Li-Hsueh Chenga, Kai-Chi Chuc, Yin-Tzer Shihc and Li-Chu Chiend*


歡 迎 參 加     

主講人:Pinyuen Chen (陳平雲), Interdisciplinary Statistics Program, Syracuse University, NY, USA

 題:A Two-Stage Design for Comparative Clinical Trials: the Heteroscedastic Solution1, 2

  期:107112日(星期五)

 間:上午11:00

  點:科學館S433

摘要:

We consider a hybrid selection and testing design for comparing the means of several experimental normal populations among themselves and with the mean of a control normal population. It is assumed that the variances of the experimental and the control normal populations are unknown and unequal. A Stein-type two-sample selection is used at both selection stage and the testing stage to solve the heteroscedastic problems caused by unknown variances. The hybrid two-stage design allows for (1) dropping the poorly performing treatments early on the basis of interim analysis results and (2) allowing for early termination if none of the experimental treatments seems promising. Numerical computations are given to show the advantage of the proposed procedure over a pure selection procedure. An example is provided to illustrate the use of the procedure.

  1. Joined work with Elena M. Buzaianu.
  2. An extension of “A Stein-Type Two-Sample Procedure for Comparing Normal Means”, Sequential Analysis, 34: 441–460, 2015, A Special Issue in honor of Charles Stein.


歡 迎 參 加                      

International Conference on Nonlinear Analysis and its Applications

March 23-24, 2018
Tamkang University
Tamsui, New Taipei City, Taiwan

This conference is to bring together international leading experts on nonlinear analysis and its applications in biology, physics, chemistry and engineering to exchange ideas, develop collaborations and introduce new methods to the audience. Topics to be included are (but not limited) mathematical biology, pattern formations, wave phenomena, analysis of singularities and other related subjects.

Refer to http://mail.tku.edu.tw/jsguo/link.htm

主講人:曹恆平教授(舊金山州立大學)
 題:土法煉鋼舖陳冪和多項數公式並重新建構三角數陣的殿堂

  期:1061219日(星期二)

 間:下午14:00

  點:科學館S433

摘要:

個人從舊金山州大退休十餘年來,在巴斯卡三角數陣的基礎上,一磚一瓦推砌了伯努力數陣,更進將所涉史特靈與尤拉的遞歸微軟公式轉硬,建立了可長可久的鋼鐵架構。

 

歡 迎 參 加

主講人:彭健育教授(Chien-Yu Peng)中研院統計所(Institute of Statistical Science Academia Sinica )

講  題:Optimal Doubling Burn-in Policy Based on Tweedie Processes with Applications to Degradation Data

日  期:106年10月31日(星期二)

時  間:下午14:00起

地  點:科學館S436室

摘要Abstract:

In the current competitive marketplace, manufacturers need to screen weak products in a short period of time. It is a challenge for manufacturers to implement a burn-in test that can screen out the weak products quickly and efficiently. When selecting an approach to determine the duration of the burn-in, one could build a criterion aiming to minimize the burn-in cost. In practice, when the optimal burn-in time is unreasonable (e.g., time 0) due to minimizing the cost, this means that the burn-in procedure is unnecessary to perform for manufacturers. In this study, we propose an optimal doubling burn-in policy to improve the predicament without additional experiments. The advantage of the proposed policy is to simultaneously determine the optimal burn-in time and the optimal cutoff point for classifying weak and strong components from the production. In addition, a new degradation model based on a Tweedie mixture process is used for a burn-in test. The proposed burn-in procedure is applied to a real data.

歡 迎 參 加

本系107學年度延攬師資訊息,請詳公告及說明。 發佈時間: 2018-01-16, 週二
說明: 一、自 107...
2018淡江數學日開始報名~歡迎有興趣的高中生報名參加。 發佈時間: 2017-12-12, 週二
2018淡江大學數學日(2018 TKU MATHS DAY) 一、招生對象:全國高中生100名...
106數學系預研生說明會(107入學),歡迎有興趣的同學踴躍報名參加。 發佈時間: 2017-11-17, 週五
說明: 一、時間:106年12月19日(週二)12:10-13:00 二、地點:淡水校園科學館S433 三、主講人:黃逸輝主任...
107/1/9 吳裕振教授(中原大學應數系)_講 題:A flexible Bayesian non-parametric approach for fitting the odds to case II interval-censored data 發佈時間: 2018-01-03, 週三
主講人:吳裕振教授 (Yuh-Jenn Wu)中原大學應用數學系 講  題:A flexible Bayesian non-parametric approach for fitting the odds...
107/1/12 Pinyuen Chen (陳平雲)(Interdisciplinary Statistics Program, Syracuse University, NY, USA)_講 題:A Two-Stage Design for Comparative Clinical Trials: the Heteroscedastic Solution1, 2 發佈時間: 2017-12-19, 週二
主講人:Pinyuen Chen (陳平雲), Interdisciplinary Statistics Program, Syracuse University, NY, USA 講  題:A Two-Stage Design for...
106/12/19曹恆平教授(舊金山州立大學)-土法煉鋼舖陳冪和多項數公式並重新建構三角數陣的殿堂 發佈時間: 2017-12-06, 週三
主講人:曹恆平教授(舊金山州立大學)講  題:土法煉鋼舖陳冪和多項數公式並重新建構三角數陣的殿堂...
International Conference on Nonlinear Analysis and its Applications 發佈時間: 2017-10-31, 週二
International Conference on Nonlinear Analysis and its Applications March 23-24, 2018Tamkang UniversityTamsui, New Taipei City, Taiwan This...
106/10/31 彭健育博士(中研院統計所)_講 題:Optimal Doubling Burn-in Policy Based on Tweedie Processes with Applications to Degradation Data 發佈時間: 2017-10-24, 週二
主講人:彭健育教授(Chien-Yu Peng)中研院統計所(Institute of Statistical Science Academia Sinica ) 講  題:Optimal Doubling...

活動花絮

  • -archive-262_b68a5b5b.jpg
  • -archive-263_4cdbbd58.jpg
  • -archive-272_28130317.jpg
  • cache.15_83ce35a2.jpg.w560_h374.jpg
  • cache.441_70134d79.jpg.w560_h374.jpg
  • cache.442_e8e94f57.jpg.w560_h374.jpg
  • cache.516_6aa3dda0.jpg.w560_h420.jpg
  • cache.534_556f8006.jpg.w560_h420.jpg
  • cache.535_f1c4d921.jpg.w560_h420.jpg
  • cache.538_681b0470.jpg.w560_h420.jpg
數學之所以有高聲譽,另一個理由就是數學使得自然科學實現定理化,給予自然科學某種程度的可靠性。—— 愛因斯坦