First and second order asymptotic efficiencies of estimators
Annales scientifiques de l'Université de Clermont. Mathématiques (1962)
- Volume: 8, Issue: 2, page 33-40
- ISSN: 0249-7042
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topRadhakrishna Rao, C.. "First and second order asymptotic efficiencies of estimators." Annales scientifiques de l'Université de Clermont. Mathématiques 8.2 (1962): 33-40. <http://eudml.org/doc/80368>.
@article{RadhakrishnaRao1962,
author = {Radhakrishna Rao, C.},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
language = {eng},
number = {2},
pages = {33-40},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {First and second order asymptotic efficiencies of estimators},
url = {http://eudml.org/doc/80368},
volume = {8},
year = {1962},
}
TY - JOUR
AU - Radhakrishna Rao, C.
TI - First and second order asymptotic efficiencies of estimators
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1962
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 8
IS - 2
SP - 33
EP - 40
LA - eng
UR - http://eudml.org/doc/80368
ER -
References
top- [1] R.R. Bahadur - On asymptotic efficiency of tests and estimates. Sankhya, Vol. 22 (1960), pp. 229-252. Zbl0109.12503MR293767
- [2] E.W. Barankin and J. Gurland - On asymptotically normal, efficient estimator I. Univ. California Publ. Statist., Vol. 1 (1951), pp. 89-130. Zbl0045.41001MR42103
- [3] D. Basu - Choosing between two simple hypotheses and the criterion of consistency. Proc. Nat. Int. Sc. (India), Vol. 19 (1953), pp. 841-849. Zbl0053.27502MR61341
- [4] H. Cramer - Mathematical methods of Statistics. Princeton, Princeton University Press (1946). Zbl0063.01014MR16588
- [5] J. Doob - Probability and statistic, Trans. Amer. Math. Soc. Vol. 36 (1934), pp. 759-775. Zbl0010.17303MR1501765
- [6] J. Doob - Statistical estimation, Trans. Amer. Math. Soc., Vol. 39 (1936), pp. 410-421. Zbl62.0611.01MR1501855JFM62.0611.01
- [7] R.A. Fisher - On the mathematical foundations of theoretical statistics, Phi los. Trans. Roy. Sco. London, Ser. A., Vol. 222 (1922), pp. 309-368. JFM48.1280.02
- [8] R.A. Fisher - Theory of statistical estimation, Proc. Cambridge Philos. Soc. Vol. 22 (1925), pp. 700-725. Zbl51.0385.01JFM51.0385.01
- [9] R.A. Fisher - Statistical Methods and Scientific Inference, Oliver and Boyd, London (1956). Zbl0070.36903MR346955
- [10] J.B.S. Haldane - A class of efficient estimates of a parameter, Bull. Int. Statist. Inst., Vol. 33 (1951), pp. 231. Zbl0049.22301MR88845
- [11] G. Kallianpur and C.R. Rao - On Fisher's lower bound to asymptotic variance of a consistent estimate, Sankhya, Vol. 15 (1955), pp. 331-342. Zbl0067.37301MR75498
- [12] L Le Cam - On some asymptotic properties of maximum likelihood estimates and related Bayes' estimates, Univ. California Publ. Statist. Vol. 1 (1953), pp. 227-330, Zbl0052.15404MR54913
- [13] L Le Cam - On the asymptotic theory of estimation and testing of hypotheses, Proc. Third Berkeley Symposium on MathematicalStatistics and Probability, 1, (1956), pp. 129-156. Zbl0074.13504MR84918
- [14] J. Neyman - Contribution to the theory of the X2 test, Proceedings of the Berkeley Symposium on Methematical Statistics and Probability, Berkeley and Los Angeles, University of California Press, (1949), pp. 239-273. Zbl0039.14302MR28003
- [15] C.R. Rao - Information and Accuracy attainable in the estimation of statistical parameters, Bulletin of the Calcutta Mathematical Society, Vol. 37 (1945), pp. 81-91. Zbl0063.06420MR15748
- [16] C.R. Rao - Maximum likelihood estimation for the multinomial distribution, Sankhya, Vol. 18 (1957), pp. 139-148. Zbl0086.35401MR105183
- [17] C.R. Rao - Maximum likelihood estimation for the multinomial distribution with infinite number of cells, Sankhya, Vol. 20 (1958) pp. 211-218. Zbl0088.12504MR107334
- [ 18] C.R. Rao - A study of large sample test criteria through properties of efficient estimates, Sankhya, Vol. 23 (1960), pp. 25-40. Zbl0097.34803MR137262
- [19] C.R. Rao - Apparent anomalies and irregularities of the method of maximum likelihood, Bulletin of the International Statistical Institute, Vol. XXXVIII, Part IV (1961), pp.439-453. Zbl0108.32302MR149596
- [20] C.R. Rao - Asymptotic efficiency and limiting information. Proceedings of the Fourth Berkeley Symposium on Mathematical statistics and Probability; University of California Press (1961), pp. 531-545. Zbl0156.39802MR133192
- [21] C.R. Rao - Efficient estimates and optimum inference procedures in large sample. To appear in J.R. Statist. Soc. (1962). Zbl0138.13103MR293766
- [22] C.R. Rao and S.J. Poti - On locally most powerful tests when alternatives are one-sided, Sankhya, Vol. 7 (1946), pp. 439. Zbl0060.30204MR17503
- [23] J. Se Thuraman - Conflicting criteria of goodness of statistics, Sankhya, Vol. 23 (1961), pp. 187-190. Zbl0099.35607MR137214
- [24] A. Wald - Asymptotically shortest confidence intervals, Ann. Math. Statist., Vol. 13 (1942), pp. 127-137. Zbl0060.30515MR6682
- [25] A. Wald - Tests of statistical hypotheses concerning several parameters when the number of observations is large, Trans. Amer. Math. Soc., Vol. 54 (1943), pp. 426-482. Zbl0063.08120MR12401
- [26] A. Wald - Statistical Decision Functions, John Wiley and Sons, New York, 1950. Zbl0040.36402MR36976
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