Inferences for the Type-II Exponentiated Log-Logistic Distribution Based on Order Statistics with Application

Authors

Devendra Kumar^{1, *,} , Maneesh Kumar¹, Sanku Dey²

¹Department of Statistics, Central University of Haryana, Jant, Haryana, India

²Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India

^*Corresponding author. Email: devendrastats@gmail.com

DOI

10.2991/jsta.d.200825.002How to use a DOI?

Keywords

Type-II exponentiated log-logistic distribution; Moments; Order statistics; Best linear unbiased estimators

Abstract

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.

Copyright

© 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/).

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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  -