kth records from discrete distributions
AbstractDziubdziela and Kopocinski (Zastosowania Matematyki 15 (1976) 187-190) introduced a definition of kth records as a strictly increasing sequence of kth largest observations yet seen. Later in the literature appeared another definition of kth records which allowed ties between succesive kth record values. These two definitions are considered to be equivalent. This note shows that it is not true if the underlying distribution is discrete. Also a third definition is possible: weak kth records. We investigate properties of the distribution of kth records from discrete distributions in the three cases.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 71 (2005)
Issue (Month): 3 (March)
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.