Journal of Statistical Theory and Applications

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/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 3
Pages
419 - 438
Publication Date
2018/09/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2018.17.3.3How to use a DOI?
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/).

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  -