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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/113393


    Title: Parameter estimation for Burr type XII distribution with differential evolution and quasi-Newton approaches based on progressively Type I interval-censored samples
    Authors: J Zhu;H Xin;J Sun;Y-Y Fan;C Zheng;T-R Tsai
    Date: 2017-09
    Issue Date: 2018-05-10 12:10:39 (UTC+8)
    Abstract: Burr type XII distribution (BXIID) has earned more attention in the few past decades because of the flexibility of distribution shape for model fitting. However, no analytical closed formula solutions of the maximum likelihood estimates (MLEs) of BXIID parameters can be obtained based on progressively type I interval-censored (PTIIC) samples. In this manuscript, the differential evolution algorithm (DE) and quasi-Newton method (QN) are applied to searching the MLEs of BXIID parameters based on PTIIC samples. The performance of DE and QN is evaluated by means of Monte Carlo simulations. Simulation results show that the DE outperforms QN in terms of smaller bias and mean squared error (MSE) of the MLEs.

    Parameter estimation for burr type XII distribution with.... Available from: https://www.researchgate.net/publication/319494371_Parameter_estimation_for_burr_type_XII_distribution_with_differential_evolution_and_Quasi-Newton_approaches_based_on_progressively_type_I_interval-censored_samples [accessed May 09 2018].
    Relation: ICIC Express Letters B 8(9), p.1299-1306
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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