Geodesic
On deficiencies of some estimators based on samples of random size
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2015), pp. 5-14

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In the paper general theorems concerning the asymptotic deficiencies of estimators based on the sample of random size are proved. Two examples of variance estimation are presented.
Keywords: point estimator, asymptotic deficiency, sample with random size
Mots-clés : Poisson distribution. 
V. E. Bening. On deficiencies of some estimators based on samples of random size. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2015), pp. 5-14. http://geodesic.mathdoc.fr/item/VTPMK_2015_1_a0/
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[1] Hodges J. L., Lehmann E. L., “Deficiency”, Annals of the Institute of Statistical Mathematics, 41:5 (1970), 783-801 | DOI | MR | Zbl

[2] Kramer G., Matematicheskie metody statistiki, Mir, M., 1975, 648 pp. | MR

[3] Leman E., Teoriya tochechnogo otsenivaniya, Nauka, M., 1991, 448 pp. | MR

[4] Bening V. E., Asymptotic Theory of Testing Statistical Hypotheses: Efficient Statistics, Optimality, Power Loss, and Deficiency, VSP, Utrecht, 2000, 277 pp.