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Maximum Entropy Principle Analysis and Applications

Patnaik, Kuppili Krishna Chaitanya (2017) Maximum Entropy Principle Analysis and Applications. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    The Maximum Entropy Principle was first stated by E.T. Jaynes around five decades ago. Since the, it has been applied with varying degrees of sucess in fields such as Thermodynamics, Time Series Analysis, Reliability Theory, Pattern Recognition, Biological Modelling and so on. The intuition behind the Maximum Entropy Principle is established and see how the principle leads to almost all the known probability distributions used in statistics. In entropy maximization models, the role of convexity for entropy measures is emphasized. Relative assessment of several principles and theorise used in statistics is given.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Prof. Asok Kumar Nanda
    Uncontrolled Keywords: Entropy; Maximum Entropy Principle; Maximum Entropy Principle Analysis; Maximum Entropy Probability Distributions
    Subjects: Q Science > QA Mathematics
    Divisions: Department of Mathematics and Statistics
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 14 Nov 2017 11:01
    Last Modified: 14 Nov 2017 11:01
    URI: http://eprints.iiserkol.ac.in/id/eprint/567

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