This book contains a little more than 20 of Debabrata Basu’s most significant articles and writings. Debabrata Basu is internationally known for his highly influential and fundamental contributions to the foundations of statistics, survey sampling, sufficiency, and invariance. The major theorem bearing his name has had numerous applications to statistics and probability. The articles in this volume are reprints of the original articles, in a chronological order. The book also contains eleven commentaries written by some of the most distinguished scholars in the area of foundations and statistical inference. These commentaries are by George Casella and V. Gopal, Phil Dawid, Tom Di Ciccio and Alastair Young, Malay Ghosh, Jay kadane, Glen Meeden, Robert Serfling, Jayaram Sethuraman, Terry Speed, and Alan Welsh.
Daftar Isi
D. Basu. An inconsistency of the method of maximum likelihood. Ann. Math. Statist., 26, 144-145, 1955. D. Basu. On statistics independent of a complete su±cient statistic, Sankhya, 15, 377-380, 1955.- D. Basu. The concept of asymptotic e±ciency. Sankhya, 17, 193-196, 1956.- D. Basu. On statistics independent of a su±cient statistic. Sankhya, 20, 223-226, 1958. D. Basu. On sampling with and without replacement, Sankhya, 20, 287-294.- D. Basu. The family of ancillary statistics. Sankhya, 21, 247-256, 1959.- D. Basu. Recovery of ancillary information. Sankhya, Ser. A, 26, 3-16, 1964.- D. Basu. Problems related to the existence of maximal and minimal elements in some families of statistics (sub¯elds). Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, I, 41-50, 1967.- D. Basu and J. K. Ghosh. Invariant sets for translation parameter families of distributions. Ann. Math. Statist., 40, 162-174, 1969.- D. Basu. Role of su±ciency and likelihood principle in sample survey theory. Sankhya, Ser. A, 31, 441-454, 1969.- D. Basu. On sufficiency and invariance. Essays in Probability and Statistics, 61-84, 1970. University of North Carolina Press.- D. Basu. An essay on the logical foundations of survey sampling, with comments by G. A. Bernard, V. P. Godambe, J. H¶ajek, J. C. Koop, and R. Royall, and a reply by the author. Foundations of Statistical Inference, 203-242, 1970. Holt, Rinehart, and Winston of Canada.- D. Basu. Statistical information and likelihhod, Discussion and correspondence between G. A. Bernard and D. Basu. Sankhy¹a, Ser. A, 37, 1-71, 1975.- D. Basu. On the elimination of nuisance parameters. Jour. Amer. Statist. Assoc., 72, 355-366, 1977.- D. Basu. On partial su±ciency: A review. Jour. Statist. Planning Inf., 2, 1-13, 1978.- D. Basu. Randomization analysis of experimental data: The Fisher randomization test, with comments by D. Hinkley, O. Kempthorne, D. Lane, D. V. Lindley, and D. B. Rubin, and a reply by the author.Jour. Amer. Statist. Assoc., 75, 575-595, 1980.- D. Basu. On ancillary statistics, pivotal quantities, and confidence statements, in Topics in Applied Statistics, 1-29, V. P. Chaubey and T. D. Dwivedi eds., Concordia University, 1981.- D. Basu and S. C. Cheng. A note on su±ciency in coherent models, Internat. Jour. Math. Math. Sci., 4, 571-582, 1981.- D. Basu and R. C. Tiwari. A note on the Dirichlet process, Statistics and Probability: Essays in Honor of C. R. Rao, 89-103, North-Holland, 1982.- D. Basu and C. B. Pereira. Conditional independence in statistics. Sankhya, Ser. A, 45, 324-337, 1983.- D. Basu. A note on Blackwell su±ciency and Skibinsky characterization of distributions, Sankhya, Ser. A, 45, 99-104, 1983.- D. Basu. Learning statistics from counterexamples, Bayesian Analysis in Statistics and Econometrics, 217-223, Lecture Notes in Statistics, 75, Springer, 1992.
Tentang Penulis
Anirban Das Gupta is Professor of Statistics at Purdue University. He is an Associate Editor of the
Annals of Statistics,
Statistics Surveys, and
Metrika. He has also served in the editorial boards of the
Journal of American Statistical Association,
International Statistical Review,
Journal of Statistical Planning and Inference, and
Sankhya. He is the author of Springer’s
Asymptotic Theory of Statistics and Probability and of
Fundamentals of Probability, A First Course. He is a Fellow of the Institute of Mathematical Statistics and is the author of 105 articles.
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