Masters Theses
http://repository.aust.edu.ng/xmlui/handle/123456789/352
This sub-community contains all Masters thesis of the five streams offered at AUST2020-04-01T08:48:00ZLoss Function in Acturial Science and Estimation
http://repository.aust.edu.ng/xmlui/handle/123456789/4953
Loss Function in Acturial Science and Estimation
Zulaihat, Hassan
The non-life insurance pricing consists of establishing a premium or a tariff paid by the insured to the insurance company in exchange for the risk transfer. A key factor in doing that is properly estimating the distribution that the claim and frequency of claim follows.
This thesis aim at having a deep knowledge of loss function and their estimation, several concept from Measure Theory, Probability Theory and Statistics were combined in the study of loss function and estimating them is illustrated using insurance data set distributed by the Data Sciences website https://www.kaggle.com. The software R is used to obtained our results.
2019-06-23T00:00:00ZIntegration in Lattice Spaces
http://repository.aust.edu.ng/xmlui/handle/123456789/4952
Integration in Lattice Spaces
Doumbia, Fatima
The goal of this thesis is to extend the notion of integration with respect to a measure to Lattice spaces. To do so the paper is first summarizing the notion of integration with respect to a measure on R. Then, a construction of an integral on Banach spaces called the Bochner integral is introduced and the main focus which is integration on lattice spaces is lastly addressed.
2019-06-22T00:00:00ZFoundation of Stochastic Modeling and Applications
http://repository.aust.edu.ng/xmlui/handle/123456789/4951
Foundation of Stochastic Modeling and Applications
Sani, Rahama Abdullahi
This thesis presents an overview on the theory of stopping times, martingales and Brownian motion which are the foundations of stochastic modeling. We started with a detailed study of discrete stopping times and their properties. Next, we reviewed the theory of martingales and saw an application to solving the problem of "extinction of populations". After that, we studied stopping times in the continuous case and finally, we treated extensively the concepts of Brownian motion and the Wienner integral.
2019-06-22T00:00:00ZEmploying Probabilistic Matching Algorithms for Identity Management in the Telecommunication Industry
http://repository.aust.edu.ng/xmlui/handle/123456789/4950
Employing Probabilistic Matching Algorithms for Identity Management in the Telecommunication Industry
Odedina, Omolade Temitope
The telecommunication industry has a lot of data related to households, individuals and devices. Advertisers pay a premium to ensure they advertise to their target audience. To ensure that content is personalized, it is necessary to accurately predict who is using a device in real time. A probabilistic matching algorithm to determine the profile of an individual based on behavioural analytics is developed and implemented. Two datasets ‘People data’ and ‘Device data’ were linked and matched using social behaviours exhibited by individuals whose information are contained in the People data and by devices whose addresses show specific social behaviours of individuals who use the devices. A match score was generated to show the accuracy of a pair of records from the different datasets (i.e. to show if both records are indeed a match or not).
2019-06-23T00:00:00Z