Fisher information in ranked set sampling from the simple linear regression model
Fisher information is a fundamental concept of statistical inference and plays an important role in many areas of statistical analysis. In this paper, we obtain explicit expressions for the Fisher information matrix in ranked set sampling (RSS) from the simple linear regression model with replicated...
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| Vydáno v: | Communications in statistics. Simulation and computation Ročník 53; číslo 3; s. 1274 - 1284 |
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| Jazyk: | angličtina |
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Taylor & Francis
03.03.2024
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| Abstract | Fisher information is a fundamental concept of statistical inference and plays an important role in many areas of statistical analysis. In this paper, we obtain explicit expressions for the Fisher information matrix in ranked set sampling (RSS) from the simple linear regression model with replicated observations. It has been shown to be the sum of two matrices, one of which is the Fisher information matrix based on simple random sampling (SRS). The numerical results show that RSS provides more information than SRS when the same sample size is used. |
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| AbstractList | Fisher information is a fundamental concept of statistical inference and plays an important role in many areas of statistical analysis. In this paper, we obtain explicit expressions for the Fisher information matrix in ranked set sampling (RSS) from the simple linear regression model with replicated observations. It has been shown to be the sum of two matrices, one of which is the Fisher information matrix based on simple random sampling (SRS). The numerical results show that RSS provides more information than SRS when the same sample size is used. |
| Author | Wang, Shuo Yang, Rui Chen, Wangxue |
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| Cites_doi | 10.1016/S0167-7152(01)00078-5 10.1017/S0269964820000625 10.1007/s40995-020-00855-x 10.1007/s00362-019-01102-1 10.1080/03610926.2019.1691735 10.1007/s11424-017-6135-3 10.1007/s00362-018-1011-3 10.1071/AR9520385 |
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| SubjectTerms | Fisher information Fisher information matrix Mathematical analysis Random sampling Ranked set sampling Regression models secondary Simple linear regression model Statistical analysis Statistical inference |
| Title | Fisher information in ranked set sampling from the simple linear regression model |
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