Optimality of Unbiased Estimators: Nonasymptotic Theory

[1]  K. Do,et al.  Efficient and Adaptive Estimation for Semiparametric Models. , 1994 .

[2]  J. Pfanzagl.  Parametric Statistical Theory , 1994 .

[3]  Friedrich Pukelsheim,et al.  On the attainment of the Cramér-Rao bound in Lr-differentiable families of distributions , 1989 .

[4]  I. Bomze.  Measurable supports, reducible spaces and the structure of the optimal σ-field in unbiased estimation , 1986 .

[5]  H. Heyer.  Theory of statistical experiments , 1983 .

[6]  S. Portnoy.  Asymptotic Efficiency of Minimum Variance Unbiased Estimators , 1977 .

[7]  A. Cohen,et al.  A Complete Class Theorem for Strict Monotone Likelihood Ratio With Applications , 1976 .

[8]  Vic Barnett,et al.  Comparative Statistical Inference , 1974, Technometrics.

[9]  J. Pfanzagl.  On median unbiased estimates , 1972 .

[10]  H. Strasser.  Sufficiency and unbiased estimation , 1972 .

[11]  P. Lachenbruch.  Mathematical Statistics, 2nd Edition , 1972 .

[12]  A. Seheult,et al.  On Unbiased Estimation of Density Functions , 1971 .

[13]  J. Pfanzagl.  Median unbiased estimates for M.L.R.-families , 1970 .

[14]  E. B. Andersen,et al.  Asymptotic Properties of Conditional Maximum‐Likelihood Estimators , 1970 .

[15]  A. Basu.  Estimates of Reliability for Some Distributions Useful in Life Testing , 1964 .

[16]  A. Birnbaum.  MEDIAN-UNBIASED ESTIMATORS , 1964 .

[17]  J. Pratt.  Length of Confidence Intervals , 1961 .

[18]  Jayanta K. Ghosh,et al.  On the Relation Among Shortest Confidence Intervals of Different Types , 1961 .

[19]  D. E. Barton.  Unbiased estimation of a set of probabilities , 1961 .

[20]  Allan Birnbaum,et al.  A UNIFIED THEORY OF ESTIMATION , 1961 .

[21]  L. Schmetterer.  On Unbiased Estimation , 1960 .

[22]  R. R. Bahadur.  On unbiased estimates of uniformly minimum variance , 1957 .

[23]  D. Basu.  A Note on the Theory of Unbiassed Estimation , 1955 .

[24]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[25]  C. R. Rao,et al.  Some theorems on minimum variance estimation , 1952 .

[26]  D. G. Chapman,et al.  Minimum Variance Estimation Without Regularity Assumptions , 1951 .

[27]  Charles Stein,et al.  Unbiased Estimates with Minimum Variance , 1950 .

[28]  J. Hammersley.  On Estimating Restricted Parameters , 1950 .

[29]  J. L. Hodges,et al.  Some Problems in Minimax Point Estimation , 1950 .

[30]  E. Barankin.  Extension of a Theorem of Blackwell , 1950 .

[31]  E. Barankin.  Locally Best Unbiased Estimates , 1949 .

[32]  C. Radhakrishna Rao,et al.  Sufficient statistics and minimum variance estimates , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.

[33]  C. R. Rao,et al.  Minimum variance and the estimation of several parameters , 1947, Mathematical Proceedings of the Cambridge Philosophical Society.

[34]  D. Blackwell.  Conditional Expectation and Unbiased Sequential Estimation , 1947 .

[35]  P. Halmos.  The Theory of Unbiased Estimation , 1946 .

[36]  J. Neyman,et al.  FIDUCIAL ARGUMENT AND THE THEORY OF CONFIDENCE INTERVALS , 1941 .

[37]  J. Neyman.  Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability , 1937 .

[38]  E. S. Pearson,et al.  THE USE OF CONFIDENCE OR FIDUCIAL LIMITS ILLUSTRATED IN THE CASE OF THE BINOMIAL , 1934 .

[39]  H. Hotelling.  The Generalization of Student’s Ratio , 1931 .

[40]  H. Hotelling.  Applications of the Theory of Error to the Interpretation of Trends , 1929 .

[41]  E. B. Wilson.  Probable Inference, the Law of Succession, and Statistical Inference , 1927 .

[42]  W. Lexis,et al.  Einleitung in die Theorie der Bevölkerungsstatistik , 1875 .

[43]  E. Lehmann,et al.  Completeness, Similar Regions, and Unbiased Estimation—Part II , 2012 .

[44]  P. Laplace.  Théorie analytique des probabilités , 1995 .

[45]  J. Pfanzagl.  Sequences of optimal unbiased estimators need not be asymptotically optimal , 1993 .

[46]  C. R. Rao,et al.  Information and the Accuracy Attainable in the Estimation of Statistical Parameters , 1992 .

[47]  Hans-Helmut Heizmann.  UMVU-Schätzer und ihre Struktur , 1989 .

[48]  Hermann Witting,et al.  Mathematische Statistik II , 1985 .

[49]  James V. Bondar,et al.  Mathematical theory of statistics , 1985 .

[50]  M. Woodroofe,et al.  THE CRAMÉR-RAO INEQUALITY HOLDS ALMOST EVERYWHERE , 1983 .

[51]  J. Pfanzagl.  On Optimal Median Unbiased Estimators in the Presence of Nuisance Parameters , 1979 .

[52]  Herbert Heyer,et al.  Mathematische Theorie statistischer Experimente , 1973 .

[53]  T. Polfeldt.  Asymptotic Results in non-regular Estimation , 1970 .

[54]  Ya. P. Lumel’skii,et al.  Unbiased Estimates of Density Functions , 1969 .

[55]  J. Pfanzagl,et al.  A characterization of the one parameter exponential family of distributions by monotonicity of likelihood ratios , 1963 .

[56]  E. Barankin.  Conditional Expectation and Convex Functions , 1951 .

[57]  G. Darmois,et al.  Sur les limites de la dispersion de certaines estimations , 1945 .

[58]  M. Fréchet.  Sur l'extension de certaines evaluations statistiques au cas de petits echantillons , 1943 .

[59]  B. N. Smallman.  XV.—A Simple Apparatus for the Direct Determination of the Volume of Small Irregular Objects , 1942 .

[60]  A. C. Aitken,et al.  XV.—On the Estimation of Statistical Parameters , 1942, Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences.

[61]  J. Neyman.  On the Two Different Aspects of the Representative Method: the Method of Stratified Sampling and the Method of Purposive Selection , 1934 .

[62]  A. Cournot.  Exposition de la théorie des chances et des probabilités , 1843 .