主講人:Professor. Man-Ho Ling

(Department of Mathematics and Information Technology, The Education University of Hong Kong)

 目:Optimal simple SSALT plan for one-shot devices under exponential distributions

  期:1071023日(星期二)

   間:下午15:30開始

  點:科學館S433

 摘要Abstract:

Step-stress accelerated life tests (SSALTs) wherein devices are subject to elevated stress levels to induce rapid failures are more efficient and less costly than constant-stress accelerated life tests to collect lifetime information of the devices. In this talk, optimal simple SSALT plan for one-shot devices under exponential distributions is considered.
     The design minimizes the asymptotic variance of the maximum likelihood estimate of the mean lifetime under normal operating conditions in terms of three decision variables, including stress levels, inspection times, and sample allocation. An expectation-maximization algorithm will be presented to find the
maximum likelihood estimates of the model parameters and the mean lifetime. A procedure will then be presented to determine the decision variables when a range of stress levels, the experimental termination time and normal operating conditions are given.


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主講人:Professor N. Balakrishnan

        (Distinguished University, McMaster University

         Hamilton, Ontario,Canada)

 目:Exact Linear Likelihood Inference for Laplace Distribution

  期:1071023日(星期二)

  間:下午13:30開始

  點:科學館S433

 

摘要Abstract:

In this talk, I will discuss exact maximum likelihood estimators for the location and scale parameters of the Laplace distribution based on complete and censored data (Type-I and Type-II).  Then, I will develop the exact distribution theory for these MLEs using which exact linear likelihood inference will be developed for the life characteristics of Laplace distribution under censored data. Finally, some examples will be presented to illustrate the theoretical results established.


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主講人:李志光 教授 (College of William and Mary)

  目: An invitation to preserver problems

   期:107529日(星期二)

  間:下午14:10

  點:科學館S433

 摘要Abstract:

Preserver problems concern the characterization of

transformations on matrices or operators leaving

invariant some functions, subsets, or relations. We will

give an introduction to the subject and mention some

recent results and research problems.

 

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主講人:Professor Ng, Hon Keung Tony
(Department of Statistical Science, Southern Methodist University, Dallas, Texas, USA)

 目:Gamma Degradation Model and Related Applications: From Light Intensity to Drug Dissolution

  期:10712月18日(星期二)

 間:下午14:10開始

  點:科學館S433

摘要Abstract:
In engineering and sciences, the process that a system reduces in performance, reliability or life span of assets gradually and irreversibly is known as a degradation process. Degradation measurements are recorded over time for prognostics and health management purposes. The gamma degradation model has been used to characterize the evolution of degradation measurements. In this talk, I will first provide an introduction to the gamma degradation model. Then, I will introduce a two-phase degradation model and discuss the likelihood and Bayesian inference for this model. The gamma model and the inferential methods are applied to analyze a real data set of light emitting diodes (LEDs). In addition to engineering applications, I will also discuss an application of the gamma degradation model in biopharmaceutical statistics. The gamma degradation model is used for assessing the similarity of two drug dissolution profiles and its merits are discussed. 


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主講人:洪盟凱 教授 (中央大學數學系)

  目:Global existence of weak solutions to the initial-boundary value problem of Euler-Poisson equations with self-gravitation force in spherically symmetric space-times

  期:107522日(星期二)

  間:下午16:10

  點:科學館S433

 摘要Abstract:

In this talk, we consider the Euler-Poisson equations with self-gravitation force in spherically symmetric space-times , which is governed by a mixed type 3

by 3 system of partial differential equations.

The initial-boundary value problem is studied for the motion of gasous stars in astrophysics. In this talk, the mixed type 3 by 3 Euler-Poisson system is re-formulated as a 3 by 3 hyperbolic resonant system in transom flows. The global existence of weak

solutions is established by a generalized version of Glimm scheme.

Numerical simulations are also provided. This is the joint

work with Shih-Wei Chou (NCU) and Chia-Chieh Chu (NTHU).

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107學年度數學系專業證照獎學金得獎名單 發佈時間: 2018-10-12, 週五
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107學年度第1學期數學系清寒獎學金得獎名單 發佈時間: 2018-10-12, 週五
下列每位同學各得獎金5,000元,請得獎同學於10月18日前至系辦填寫資料。 學號 班級 406190511 數學二 405190116...
107學年度第1學期數學系鄧靜華先生獎學金得獎名單 發佈時間: 2018-10-12, 週五
恭喜下列6位同學獲獎,每名獎學金27,000元 學號   班級  406190107  數學二  406200047  資統二...
本校108學年度碩博士班甄試招生簡章已公布於本校網頁,相關訊息如說明,有興趣者請踴躍報考。 發佈時間: 2018-10-03, 週三
本校108學年度碩博士班甄試招生簡章已公布於本校網頁,相關訊息如說明,請轉知學生或親友踴躍報考。 說 明:...
107/10/23 Professor Man-Ho Ling(Department of Mathematics and Information Technology, The Education University of Hong Kong)-Optimal simple SSALT plan for one-shot devices under exponential distributions 發佈時間: 2018-10-12, 週五
主講人:Professor. Man-Ho Ling (Department of Mathematics and Information Technology, The Education University of Hong Kong) 題...
107/10/23 Professor N. Balakrishnan(Distinguished University, McMaster University Hamilton, Ontario,Canada)-Exact Linear Likelihood Inference for Laplace Distribution 發佈時間: 2018-10-12, 週五
主講人:Professor N. Balakrishnan         (Distinguished University, McMaster University...
107/12/18 Professor Ng, Hon Keung Tony(Department of Statistical Science, Southern Methodist University, Dallas, Texas, USA)-Gamma Degradation Model and Related Applications: From Light Intensity to Drug Dissolution 發佈時間: 2018-10-11, 週四
主講人:Professor Ng, Hon Keung Tony (Department of Statistical Science, Southern Methodist University, Dallas, Texas, USA) 題  目:Gamma...
107/5/29 李志光 教授 (College of William and Mary)-An invitation to preserver problems 發佈時間: 2018-05-14, 週一
主講人:李志光 教授 (College of William and Mary) 題  目: An invitation to preserver problems  日 ...
107/5/22 洪盟凱 教授 (中央大學數學系)-Global existence of weak solutions to the initial-boundary value problem of Euler-Poisson equations with self-gravitation force in spherically symmetric space-times 發佈時間: 2018-05-14, 週一
主講人:洪盟凱 教授 (中央大學數學系) 題  目:Global existence of weak solutions to the initial-boundary value problem of...