Analysis of marginal and conditional density functions for separate inference
type: Item
instance of: scholarly article
title: Analysis of marginal and conditional density functions for separate inference
zbMATH Open document ID: 0621.62009
DOI: 10.1007/BF02491445
author: Hisataka Kuboki
published in: Annals of the Institute of Statistical Mathematics
publication date: 1987-01-01T00:00:00Z
review text: In the inference on parameters of interest from a part of the original model and data, the author considers a decomposition of the model into submodels and their efficacies. He discusses the factorization of densities of a model, the smoothness of a family of conditional densities, the differentiability of the conditional expectation of a statistic, and the conditional efficacy. The averaging operators introduced by \textit{E. J. G. Pitman}, Some basic theory for statistical inference. Chapman and Hall (1979; Zbl 0442.62002), and their properties are also discussed.
Mathematics Subject Classification ID: 62B99
Mathematics Subject Classification ID: 62A01
Mathematics Subject Classification ID: 62F10
zbMATH DE Number: 4007441
zbMATH Keywords: separate inference
zbMATH Keywords: decomposition
zbMATH Keywords: submodels
zbMATH Keywords: factorization of densities
zbMATH Keywords: smoothness
zbMATH Keywords: conditional densities
zbMATH Keywords: differentiability
zbMATH Keywords: conditional expectation
zbMATH Keywords: conditional efficacy
zbMATH Keywords: averaging operators
reviewed by: Masafumi Akahira
MaRDI profile type: Publication
cites work: Q4167890
cites work: On the Elimination of Nuisance Parameters
cites work: Sufficient Statistics with Nuisance Parameters
cites work: Conditional likelihood and unconditional optimum estimating equations
cites work: On sufficiency and ancillarity in the presence of a nuisance parameter
cites work: Q3681709
cites work: Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics
cites work: A generalization of the relative conditional expectation. Further properties of Pitman's \(T^*\) and their applications to statistics
cites work: On information and ancillarity in the presence of a nuisance parameter
cites work: Q4131338
cites work: Q3884948
cites work: Linear Statistical Inference and its Applications
cites work: Q4403166
description: scientific article; zbMATH DE number 4007441