Shapiro, S. H. Limited deviation estimators of the Poisson parameter. (English) Zbl 0458.62022 Metrika 27, 203-211 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 62F12 Asymptotic properties of parametric estimators 62F15 Bayesian inference Keywords:limited deviation estimators; Bayes rule; Poisson distribution; minimax estimator; gamma priors Citations:Zbl 0047.383 PDFBibTeX XMLCite \textit{S. H. Shapiro}, Metrika 27, 203--211 (1980; Zbl 0458.62022) Full Text: DOI EuDML References: [1] Blum, J.R., andJ. Rosenblatt: On partial a priori information in statistical inference. Ann. Math. Statist.38, 1967, 1671–1678. · Zbl 0173.20404 · doi:10.1214/aoms/1177698602 [2] Copson, E.J.: Asymptotic Expansions. Cambridge 1965. · Zbl 0123.26001 [3] Efron, B., andC. Morris: Limiting the risk of Bayes and emptrical Bayes estimators. J. Am. Statist. Assoc.66, 1971, 807–815. · Zbl 0229.62003 · doi:10.2307/2284231 [4] Hodges, J.L., Jr., andE.L. Lehmann: The use of previous experience in reaching statistical decisions. Ann. Math. Statist.23, 1952, 392–407. · Zbl 0047.38306 [5] Robbins, H.: The emptrical Bayes approach to statistical decision problems. Ann. Math. Statist.35, 1964, 1–20. · Zbl 0138.12304 · doi:10.1214/aoms/1177703729 [6] Shapiro, S.H.: Estimation of location and scale parameters–a compromise. Comm. in Stat.4, 1975, 1093–1108. · Zbl 0338.62015 · doi:10.1080/03610927508827318 [7] Watson, S.R.: On Bayesian inference with incompletely specified prior distributions. Biometrika61, 1974, 193–196. · Zbl 0275.62003 · doi:10.1093/biomet/61.1.193 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.