A flexible ranked set sampling schemes: Statistical analysis on scale parameter

  • Abbas Eftekharian
  • Mostafa Razmkhah Ferdowsi University of Mashhad
  • Jafar Ahmadi
DOI: https://doi.org/10.19139/soic-2310-5070-812
Keywords: Fisher information, Maximum likelihood estimation, Optimality, Order statistics, Relative efficiency.

Abstract

A flexible ranked set sampling scheme including some various existing sampling methods  is proposed. This scheme may be used to minimize the  error of ranking and the cost of sampling. Based on the data obtained from this scheme, the maximum likelihood estimation as well as the Fisher information are studied for the  scale family of distributions. The existence and uniqueness of  the  maximum likelihood estimator  of the scale parameter of the exponential  and  normal distributions are  investigated. Moreover, the optimal scheme is derived via simulation and numerical computations.

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Published
2020-07-01
How to Cite
Eftekharian, A., Razmkhah, M., & Ahmadi , J. (2020). A flexible ranked set sampling schemes: Statistical analysis on scale parameter. Statistics, Optimization & Information Computing, 9(1), 189-203. https://doi.org/10.19139/soic-2310-5070-812
Issue
Vol 9 No 1 (2021)
Section
Research Articles
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