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
Hlavní autoři: Wang, Shuo, Chen, Wangxue, Yang, Rui
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 03.03.2024
Taylor & Francis Ltd
Témata:
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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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2022.2044053