Parameter Estimation for Inverted Topp-Leone Distribution Based on Different Ranked Set Sampling Schemes
Keywords:
Maximum likelihood estimation, neoteric ranked set sampling, inverted Topp-Leone distributionAbstract
Recently, an inverted Topp-Leone (IVT) distribution is introduced, which was useful for modeling lifetime phenomena. Some reliability measures of this distribution such as reliability, the maximum likelihood estimation and confidence intervals for the shape parameter are considered. In this paper, parameter estimation is discussed based on ranked set sampling (RSS) and neoteric ranked set sampling (NRSS) as a case of one stage ranked set sampling, double neoteric ranked set sampling (DNRSS) as a case of two stages ranked set sampling. Simulation studies are used to assess the two approaches from bias and efficiency aspects. The estimators are also compared with their analogs in simple random sampling. Moreover, it was shown that NRSS, RSS are more efficient than simple random sample (SRS) and they have small bias. The estimator based DNRSS, NRSS, and RSS are more efficient than the estimators based on SRS technique.
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