Volume 12, Issue 1, May 2013, Pages 67 - 82
Prediction Intervals for k-records in Terms of Current Records
Authors
M. Chahkandi, J. Ahmadi
Corresponding Author
J. Ahmadi
Received 3 June 2012, Accepted 12 November 2012, Available Online 1 May 2013.
- DOI
- 10.2991/jsta.2013.12.1.6How to use a DOI?
- Keywords
- Coverage probability, Current records, K-records, Prediction intervals.
- Abstract
In this paper, we discuss the prediction of k-records from the future sequence based on observed current records of either kind upper or lower, record coverage and k-records from the same distribution. It is shown that the coverage probability of all proposed prediction intervals are distribution-free. Exact and explicit expressions for the prediction coefficient of these intervals are obtained. The existence and optimality of these intervals are discussed. At the end, a numerical example is given for illustrating and comparing the proposed procedure.
- Copyright
- © 2013, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - M. Chahkandi AU - J. Ahmadi PY - 2013 DA - 2013/05/01 TI - Prediction Intervals for k-records in Terms of Current Records JO - Journal of Statistical Theory and Applications SP - 67 EP - 82 VL - 12 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2013.12.1.6 DO - 10.2991/jsta.2013.12.1.6 ID - Chahkandi2013 ER -