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The Collected Works Book

The Collected Works
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  • The Collected Works
  • Written by author Wassily Hoeffding
  • Published by Springer-Verlag New York, LLC, August 1994
  • Wassily Hoeffding's research papers are among the most cited in the statistical literature. This volume gathers together Hoeffding's published papers and reviews, including specially commissioned English translations of three major early research papers o
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Authors

Preface
Acknowledgments
Biographical details1
Three articles reviewing Hoeffding's work
Wassily Hoeffding's Work in the Sixties3
The Impact of Wassily Hoeffding's Work on Sequential Analysis17
The Impact of Wassily Hoeffding's Research on Nonparametrics29
Publications
Scale-invariant correlation theory57
Scale-invariant correlations for discontinuous distributions109
Stochastic dependence and functional relationships135
On the distribution of the rank correlation coefficient [tau] when the variates are not independent157
A class of statistics with asymptotically normal distribution171
The central limit theorem for dependent random variables205
A non-parametric test of independence214
'Optimum' non-parametric tests227
A combinatorial central limit theorem237
The large-sample power of tests based on permutations of observations247
On the distribution of the expected values of the order statistics273
A lower bound for the average sample number of a sequential test283
Bounds for the distribution of a sum of independent, identically distributed random variables287
The efficiency of tests298
The extrema of the expected value of a function of independent random variables311
On the distribution of the number of successes in independent trials319
The role of assumptions in statistical decisions329
Distinguishability of sets of distributions. (The case of independent and identically distributed random variables)339
Lower bounds for the expected sample size and the average risk of a sequential procedure359
An upper bound for the variance of Kendall's 'tau' and of related statistics377
Lower bounds for the expected sample size of a sequential test385
On sequences of sums of independent random vectors395
Probability inequalities for sums of bounded random variables409
On a theorem of V. M. Zolotarev427
Asymptotically optimal tests for multinomial distributions431
On probabilities of large deviations473
Some recent developments in nonparametric statistics491
Unbiased coin tossing with a biased coin501
Discussion of J. Hajek, Miscellaneous problems of rank test theory513
Discussion of H. Witting, On the theory of nonparametric tests515
The L[subscript 1] norm of the approximation error for Bernstein-type polynomials517
On the centering of a simple linear rank statistic529
The L[subscript 1] norm of the approximation error for splines with equidistant knots543
Harold Hotelling, 1895-1973563
H. Hotelling565
Some incomplete and boundedly complete families of distributions568
More on incomplete and boundedly complete families of distributions583
A statistician's progress from Berlin to Chapel Hill591
Unbiased range-preserving estimators601
Range preserving unbiased estimators in the multinomial case613
Asymptotic normality617
Hajek's projection lemma627
Hoeffding's independence test628
Probability inequalities for sums of bounded random variables631
Range-preserving estimators635
Mathematical Statistics639
An Introduction to the Theory of Statistics, 14th edition647
Nonparametric Methods in Statistics648
Limit Distributions for Sums of Independent Random Variables649
Theory of Rank Tests653
Testing Statistical Hypotheses657


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