Virginia Tech
    • Log in
    View Item 
    •   VTechWorks Home
    • ETDs: Virginia Tech Electronic Theses and Dissertations
    • Masters Theses
    • View Item
    •   VTechWorks Home
    • ETDs: Virginia Tech Electronic Theses and Dissertations
    • Masters Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    The negative binomial distribution

    Thumbnail
    View/Open
    LD5655.V855_1960.B378.pdf (3.762Mb)
    Downloads: 468
    Date
    1960
    Author
    Bartko, John Jaroslav
    Metadata
    Show full item record
    Abstract
    This thesis is an extensive review of the major literature dealing with the negative binomial distribution. An account of the forms of the distribution is presented. This includes compound, limiting and truncated forms and examples of their occurrence. Parameter estimation is treated in a few specific cases. In particular, the inverse binomial sampling form, its analytic properties, occurrence in biological as well as industrial situations, estimation of the parameter p, and hypothesis testing are discussed in detail. Many examples are included. In the discussion of the inverse binomial sampling form several extremely useful, little known relations are presented. Among these is a discussion of the use of the Tables of the Incomplete Beta Function for the evaluation of the cumulative distribution function. Also discussed is the method of adapting Biometrika Table 41, which gives confidence limits on p in the positive binomial case, to the inverse binomial sampling case.
    URI
    http://hdl.handle.net/10919/74088
    Collections
    • Masters Theses [21202]

    If you believe that any material in VTechWorks should be removed, please see our policy and procedure for Requesting that Material be Amended or Removed. All takedown requests will be promptly acknowledged and investigated.

    Virginia Tech | University Libraries | Contact Us
     

     

    VTechWorks

    AboutPoliciesHelp

    Browse

    All of VTechWorksCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Log inRegister

    Statistics

    View Usage Statistics

    If you believe that any material in VTechWorks should be removed, please see our policy and procedure for Requesting that Material be Amended or Removed. All takedown requests will be promptly acknowledged and investigated.

    Virginia Tech | University Libraries | Contact Us