Volume 17, Issue 3, September 2018, Pages 419 - 438
Shannon Information in K-records for Pareto-type Distributions
Authors
Zohreh Zamaniz.zamani.62@gmail.com
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman Kerman, Iran
Mohsen Madadimhnmadadi@gmail.com
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman Kerman, Iran
Received 10 July 2017, Accepted 13 November 2017, Available Online 30 September 2018.
- DOI
- 10.2991/jsta.2018.17.3.3How to use a DOI?
- Keywords
- K-record values; K-record times; Shannon information; Digamma function; Zeta function; Differential entropy; Record data
- Abstract
Pareto distributions provides models for many applications in the social, natural and physical sciences. In this paper, we derive the Shannon information contained in upper (lower) k-record values and associated k-record times of Pareto-type distributions for a finite sample of fixed size and for an inverse sampling plan. Properties of the Shannon information of the k-record values associated with Pareto-type distributions are investigated, both analytically and numerically.
- Copyright
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Zohreh Zamani AU - Mohsen Madadi PY - 2018 DA - 2018/09/30 TI - Shannon Information in K-records for Pareto-type Distributions JO - Journal of Statistical Theory and Applications SP - 419 EP - 438 VL - 17 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.3.3 DO - 10.2991/jsta.2018.17.3.3 ID - Zamani2018 ER -