• Login
    About WHOAS
    View Item 
    •   WHOAS Home
    • Woods Hole Oceanographic Institution
    • Applied Ocean Physics and Engineering (AOP&E)
    • View Item
    •   WHOAS Home
    • Woods Hole Oceanographic Institution
    • Applied Ocean Physics and Engineering (AOP&E)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of WHOASCommunities & CollectionsBy Issue DateAuthorsTitlesKeywordsThis CollectionBy Issue DateAuthorsTitlesKeywords

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    A note about Gaussian statistics on a sphere

    Thumbnail
    View/Open
    Geophys. J. Int.-2015-Chave-893-5.pdf (784.7Kb)
    Date
    2015-07
    Author
    Chave, Alan D.  Concept link
    Metadata
    Show full item record
    Citable URI
    https://hdl.handle.net/1912/7541
    As published
    https://doi.org/10.1093/gji/ggv324
    DOI
    10.1093/gji/ggv324
    Keyword
     Numerical approximations and analysis; Probability distributions; Marine magnetics and palaeomagnetics 
    Abstract
    The statistics of directional data on a sphere can be modelled either using the Fisher distribution that is conditioned on the magnitude being unity, in which case the sample space is confined to the unit sphere, or using the latitude–longitude marginal distribution derived from a trivariate Gaussian model that places no constraint on the magnitude. These two distributions are derived from first principles and compared. The Fisher distribution more closely approximates the uniform distribution on a sphere for a given small value of the concentration parameter, while the latitude–longitude marginal distribution is always slightly larger than the Fisher distribution at small off-axis angles for large values of the concentration parameter. Asymptotic analysis shows that the two distributions only become equivalent in the limit of large concentration parameter and very small off-axis angle.
    Description
    Author Posting. © The Author, 2015. This article is posted here by permission of The Royal Astronomical Society for personal use, not for redistribution. The definitive version was published in Geophysical Journal International 203 (2015): 893-895, doi:10.1093/gji/ggv324.
    Collections
    • Applied Ocean Physics and Engineering (AOP&E)
    Suggested Citation
    Article: Chave, Alan D., "A note about Gaussian statistics on a sphere", Geophysical Journal International 203 (2015): 893-895, DOI:10.1093/gji/ggv324, https://hdl.handle.net/1912/7541
     
    All Items in WHOAS are protected by original copyright, with all rights reserved, unless otherwise indicated. WHOAS also supports the use of the Creative Commons licenses for original content.
    A service of the MBLWHOI Library | About WHOAS
    Contact Us | Send Feedback | Privacy Policy