IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v151y2018icp1-14.html
   My bibliography  Save this article

Multiple parameter determination in textile material design:A Bayesian inference approach based on simulation

Author

Listed:
  • Xu, Dinghua
  • He, Yangao
  • Yu, Yue
  • Zhang, Qifeng

Abstract

A mathematical model of heat–moisture transfer within textiles and a corresponding inverse problem of textile material design (IPTMD) are reformulated. A stability theorem for the forward problem is given to show wellposedness of the heat–moisture transfer model. A Bayesian inference approach is presented to solve the IPTMD based on thermal comfort of clothing. The triple parameters (thickness, thermal conductivity, porosity of textiles) are simultaneously determined in the sense of the statistical point estimation by the likelihood function. The Bayesian techniques based on Markov chain Monte Carlo (MCMC) methods are employed to simultaneously determine three parameters in IPTMD, where the Metropolis–Hastings algorithm is applied in the inversion process. The interpolated likelihood function reduces significantly the computational cost associated with the implementation of MCMC method without loss of accuracy in the parameters estimation. Numerical experiments confirm that Bayesian inference method can provide more accurate solutions to the IPTMD.

Suggested Citation

  • Xu, Dinghua & He, Yangao & Yu, Yue & Zhang, Qifeng, 2018. "Multiple parameter determination in textile material design:A Bayesian inference approach based on simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 151(C), pages 1-14.
    • Handle: RePEc:eee:matcom:v:151:y:2018:i:c:p:1-14
    DOI: 10.1016/j.matcom.2018.04.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475418300879
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2018.04.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Laurini, Márcio Poletti & Hotta, Luiz Koodi, 2013. "Indirect Inference in fractional short-term interest rate diffusions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 94(C), pages 109-126.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Richard A. Davis & Thiago do Rêgo Sousa & Claudia Klüppelberg, 2021. "Indirect inference for time series using the empirical characteristic function and control variates," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(5-6), pages 653-684, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:151:y:2018:i:c:p:1-14. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.