Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application
- 10.2991/jsta.d.200825.002How to use a DOI?
- Type-II exponentiated log-logistic distribution; Moments; Order statistics; Best linear unbiased estimators
In this paper, we first derive the exact explicit expressions for the single and product moments of order statistics from the type-II exponentiated log-logistic distribution, and then use these results to compute the means, variances, skewness and kurtosis of rth order statistics. Besides, best linear unbiased estimators (BLUEs) for the location and scale parameters for the type-II exponentiated log-logistic distribution with known shape parameters are studied. Finally, the results are illustrated with a real data set.
- © 2020 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Devendra Kumar AU - Maneesh Kumar AU - Sanku Dey PY - 2020 DA - 2020/09/11 TI - Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application JO - Journal of Statistical Theory and Applications SP - 352 EP - 367 VL - 19 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.200825.002 DO - 10.2991/jsta.d.200825.002 ID - Kumar2020 ER -