On the computation of distributions of linear combinations of Laplace order statistics and their applications

Abstract

We apply the result of conditional independence of blocked ordered data established by Iliopoulos and Balakrishnan, together with the algorithm of Huffer and Lin, to obtain exact expressions for the distributions of linear combinations of Laplace order statistics. These expressions can then be evaluated using symbolic math package Maple. Finally, we illustrate the computational method with some examples.

Keywords:

• Best linear unbiased estimates
• critical values
• Laplace distribution
• pivots
• spacings
• symmetrically Type-II censored sample

Acknowledgements

The authors express their sincere thanks to reviewers for their valuable comments and suggestions on an earlier version of this manuscript which led to this improved version.

Additional information

Funding

The first author thanks the Ministry of Science and Technology of the Republic of China, Taiwan (Contract No: MOST 106-2118-M-032-006-MY2) for funding this research.