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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Veröffentlicht in:Communications in statistics. Simulation and computation Jg. 53; H. 3; S. 1274 - 1284
Hauptverfasser: Wang, Shuo, Chen, Wangxue, Yang, Rui
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia Taylor & Francis 03.03.2024
Taylor & Francis Ltd
Schlagworte:
Fisher information
Fisher information matrix
Mathematical analysis
Random sampling
Ranked set sampling
Regression models
secondary
Simple linear regression model
Statistical analysis
Statistical inference
ISSN:0361-0918, 1532-4141
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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.
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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10.1017/S0269964820000625
10.1007/s40995-020-00855-x
10.1007/s00362-019-01102-1
10.1080/03610926.2019.1691735
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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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