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Limited deviation estimators of the Poisson parameter. (English) Zbl 0458.62022

MSC:

62F12 Asymptotic properties of parametric estimators
62F15 Bayesian inference

Citations:

Zbl 0047.383
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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
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