Volume 15, Issue 2, June 2016, Pages 161 - 168
Testing EBU_mgf Class of Life Distributions based on Goodness of Fit approach
Authors
A.M. Gadallah
Corresponding Author
A.M. Gadallah
Received 3 May 2015, Accepted 22 February 2016, Available Online 1 June 2016.
- DOI
- 10.2991/jsta.2016.15.2.6How to use a DOI?
- Keywords
- Moment generating function, EBU, Hypothesis test, Pitman’s efficiency, Goodness of fit.
- Abstract
Based on the goodness of fit approach, a new test is presented for testing exponentiality against "exponential Better than Used in moment generating function ordering class" (EBUmgf). The critical values and the powers of this test are calculated. It is shown that the proposed test enjoys good power and performs better than previous tests in terms of power and Pitman’s asymptotic efficiencies for several alternative. Finally sets of real data are used as examples to elucidate the use of the proposed test in practical application.
- Copyright
- © 2017, 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 - A.M. Gadallah PY - 2016 DA - 2016/06/01 TI - Testing EBU_mgf Class of Life Distributions based on Goodness of Fit approach JO - Journal of Statistical Theory and Applications SP - 161 EP - 168 VL - 15 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2016.15.2.6 DO - 10.2991/jsta.2016.15.2.6 ID - Gadallah2016 ER -