Welcome to the NavList Message Boards.

NavList:

A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

Compose Your Message

Message:αβγ
Message:abc
Add Images & Files
    Name or NavList Code:
    Email:
       
    Reply
    More Cocked Hats
    From: Bill Lionheart
    Date: 2020 Jul 18, 08:59 +0100

    NavList members with a mathematical bent might be interested in the
    latest thoughts on cocked hats from mathematicians.  Bárány, Steiger
    and Toledo https://arxiv.org/abs/2007.06838
    
    From the paper "The property that we are interested in is the
    probability of the cockedhat containing the true position being 1/4.
    Under what conditions is
    this statement true?"
    
    "Our aim in this paper is to show that the 25%-probability result is
    valid only for error distributions that guarantee that the three rays
    intersect at three distinct points and form a triangle.
    We note that the use of the cocked hat in navigation is today obso-
    lete, having been replaced by estimation of confidence regions, usually
    circles or ellipses, by computer algorithms."
    
    I would emphasize that this paper concerns "rays",, ie half a line. It
    is about cocked hats for position fixes taking bearings on objects in
    plane navigation.
    
    So, just in case anyone was still arguing in the pub about the 1/4
    probability after a navigation class maybe Bárány, Steiger and Toledo
    have the last word?
    
    Bill
    

       
    Reply
    Browse Files

    Drop Files

    NavList

    What is NavList?

    NavList is a community devoted to the preservation and practice of celestial navigation and other methods of traditional position-finding. We're a group of navigators, navigation enthusiasts and hobbyists, mathematicians and physicists, and historians interested in all aspects of navigation but primarily those techniques which are non-electronic.

    To post a message, if you are already signed up as a NavList member, start a new discussion or reply to any posted message and use your posting code (this is a simple low-security password assigned when you join). You may also join by posting. Your first on-topic messsage automatically makes you a member, and a posting code will be assigned and emailed to you for future posts.

    Uniquely, the NavList message boards also permit full interaction entirely by email. You can optionally receive individual posts or daily digests by email, and any member can post messages by email (bypassing the web site) by sending to our posting address which is "NavList@NavList.net". This functionality is similar to a traditional Internet mailing list: post by email, read by email, reply by email. Most members will prefer the web interface here for posting and replying to messages.

    NavList is more than an online community... more about that another day.

    © Copyright notice: please note that the rights to all messages and posts in this discussion group are held by their respective authors. No messages or text or images extracted from messages may be reproduced without the explicit consent of the message author. Email me, Frank Reed, if you have any questions.

    Join / Get NavList ID Code

    Name:
    (please, no nicknames or handles)
    Email:
    Do you want to receive all group messages by email?
    Yes No

    A NavList ID Code guarantees your identity in NavList posts and allows faster posting of messages.

    Retrieve a NavList ID Code

    Enter the email address associated with your NavList messages. Your NavList code will be emailed to you immediately.
    Email:

    Email Settings

    NavList ID Code:

    Custom Index

    Subject:
    Author:
    Start date: (yyyymm dd)
    End date: (yyyymm dd)

    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site