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Prediction Problems Using Maximum En...
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HEC Montreal (Canada).
Prediction Problems Using Maximum Entropy Models.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Prediction Problems Using Maximum Entropy Models./
作者:
Khribi, Lotfi.
面頁冊數:
1 online resource (100 pages)
附註:
Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.
Contained By:
Dissertation Abstracts International79-07B(E).
標題:
Statistics. -
電子資源:
click for full text (PQDT)
ISBN:
9780355649451
Prediction Problems Using Maximum Entropy Models.
Khribi, Lotfi.
Prediction Problems Using Maximum Entropy Models.
- 1 online resource (100 pages)
Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.
Thesis (Ph.D.)--HEC Montreal (Canada), 2017.
Includes bibliographical references
In this thesis, we will study issues related to prediction problems. In particular, we consider the prediction of recurrent events. For this, we develop different prediction models when these events can be modeled using homogeneous or nonhomogeneous Poisson processes. Amongst these models, we are interested in those using random effects because they possess interesting features. We propose a predictive model using empirical Bayes techniques and the maximum entropy principle in order to model the random effects for the unknown parameters. We will show that for the prediction of recurrent events, our first model using as a prior the two moments maximum entropy distribution, which is equivalent to the truncated normal distribution, compared very favorably to the negative binomial model that uses as a prior the gamma distribution. We also present an extension of the approach developed in our first model: because of the two moment condition on our maximum entropy priors, we were restricted to considering only cases where the coefficient of variation was less than or equal to 1. We remove this restriction by the use of higher moment maximum entropy priors in the prediction of recurrent events using homogeneous and nonhomogeneous Poisson processes. We assess the performance of such models through extensive simulation studies and some real data sets.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780355649451Subjects--Topical Terms:
556824
Statistics.
Index Terms--Genre/Form:
554714
Electronic books.
Prediction Problems Using Maximum Entropy Models.
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Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.
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Advisers: Marc Fredette; Brenda MacGibbon.
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Includes bibliographical references
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In this thesis, we will study issues related to prediction problems. In particular, we consider the prediction of recurrent events. For this, we develop different prediction models when these events can be modeled using homogeneous or nonhomogeneous Poisson processes. Amongst these models, we are interested in those using random effects because they possess interesting features. We propose a predictive model using empirical Bayes techniques and the maximum entropy principle in order to model the random effects for the unknown parameters. We will show that for the prediction of recurrent events, our first model using as a prior the two moments maximum entropy distribution, which is equivalent to the truncated normal distribution, compared very favorably to the negative binomial model that uses as a prior the gamma distribution. We also present an extension of the approach developed in our first model: because of the two moment condition on our maximum entropy priors, we were restricted to considering only cases where the coefficient of variation was less than or equal to 1. We remove this restriction by the use of higher moment maximum entropy priors in the prediction of recurrent events using homogeneous and nonhomogeneous Poisson processes. We assess the performance of such models through extensive simulation studies and some real data sets.
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click for full text (PQDT)
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