Application of an adequate statistic to the invariant prediction region

DOI10.1007/BF02481047zbMath0509.62031OpenAlexW2025886858MaRDI QIDQ1838242

Yoshikazu Takada

Publication date: 1982

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481047

zbMATH Keywords

group of transformationsadequate statisticessentially completeinvariant prediction regions

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Foundations and philosophical topics in statistics (62A01) Complete class results in statistical decision theory (62C07)

Related Items (3)

Invariant estimation of functions ⋮ Optimal equivariant prediction regions based on multiply type-II censored generalized order statistics from exponential distributions ⋮ Invariant prediction regions with smallest expected measure

Cites Work

• Invariant prediction rules and an adequate statistic
• Characterizations of prediction sufficiency (adequacy) in terms of risk functions
• Prediction of sth Ordered Observation for the Two-Parameter Exponential Distribution
• Adequate Subfields and Sufficiency
• The Relationship Between Sufficiency and Invariance with Applications in Sequential Analysis
• Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics
• Some Theorems Relevant to Life Testing from an Exponential Distribution
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