Affiliation(s)udud1Department of Studies in Statistics, University of Mysore, Mysore, India.ud2All India Institute of Speech and Hearing, Mysore, India.udABSTRACTududIn this paper maximum ranked set sampling procedure with unequal samples (MRSSU) is proposed. Maximum likelihood estimator and modified maximum likelihood estimator are obtained and their properties are studied under exponential distribution. These methods are studied under both perfect and imperfect ranking (with errors in ranking). These estimators are then compared with estimators based on simple random sampling (SRS) and ranked set sampling (RSS) procedures. It is shown that relative efficiencies of the estimators based on MRSSU are better than those of the estimator based on SRS. Simulation results show that efficiency of proposed estimator is better than estimator based on RSS under ranking error.
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机译：隶属关系 ud ud1印度迈索尔大学迈索尔大学统计系。 ud2印度迈索尔全印度言语和听力研究所。 udABSTRACT ud ud本文采用不相等样本的最大排序集抽样程序（MRSSU）。得到了最大似然估计和修正的最大似然估计，并研究了它们在指数分布下的性质。在完美和不完美的排名下都会研究这些方法（排名存在错误）。然后，将这些估算器与基于简单随机抽样（SRS）和排序集抽样（RSS）程序的估算器进行比较。结果表明，基于MRSSU的估计器的相对效率要优于基于SRS的估计器的相对效率。仿真结果表明，在排序误差下，提出的估计器的效率要优于基于RSS的估计器。
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