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    A pseudo restricted MLE under multivariate order restrictions and its algorithm

    Date
    2018-12-21
    Author
    Hu, Xiaomi
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    Citation
    Xiaomi Hu (2018) A pseudo restricted MLE under multivariate order restrictions and its algorithm, Communications in Statistics - Theory and Methods
    Abstract
    It is shown in this paper that a quasi order for the vectors in Rp is a cone induced if and only if the order is preservable under limits and under linear combinations with non-negative coefficients. For the mean vectors in MANOVA subject to the restriction of simple ordering, a pseudo restricted MLE is proposed. This estimator is a matrix projection onto a closed convex set inside the restricted domain. An algorithm for the pseudo restricted MLE is developed, that computes the matrix projections using only vector projections.
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    URI
    https://doi.org/10.1080/03610926.2018.1535072
    http://hdl.handle.net/10057/15743
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    • MATH Research Publications [167]

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