Collected Papers (Springer Collected Works in Mathematics) de Pao-Lu Hsu

Collected Papers: Springer Collected Works in Mathematics

Pao-Lu Hsu

Kai Lai Chung

C.-S. Cheng

Tse-Pei Chiang

The late Professor Pao-Lu Hsu's statistical work was primarily concerned with inference in univariate and multivariate linear models and with the associated distribution theory, both exact and asymptotic. This volume contains all of Hsu's mathematical papers published between 1935 and 1970. It comprises 40 articles, and several additional commentaries and discussions of Hsu's work in inference, multivariate analysis, and probability by Lehmann, Anderson, and Chung. Further commentaries, by various authors, have been appended to some of the papers. Hsu's colleagues Kiang and Tuan in Beijing have rewritten their memorial tribute for this occasion.

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Cuprins

Pao-Lu Hsu 1910–1970.- Hsu’s Work on Inference.- Hsu’s Work in Multivariate Analysis.- Hsu’s Work in Probability.- In Memory of Professor Pao-Lu Hsu.- [1]* On the Limit of a Sequence of Point Sets.- [2] A Note on the Indices and Numbers of Nondegenerate Critical Points of Biharmonic Functions.- [3] Contribution to the Theory of “Student’s” t-Test as Applied to the Problem of Two Samples.- [4] On the Best Unbiased Quadratic Estimate of the Variance.- [5] Notes on Hotelling’s Generalized T.- [6] On the Distribution of Roots of Certain Determinantal Equations.- [7] A New Proof of the Joint Product Moment Distribution.- [8] On n-Fold Iterated Limits.- [9] An Algebraic Derivation of the Distribution of Rectangular Coordinates.- [10] On Generalized Analysis of Variance.- [11] On the Limiting Distribution of Roots of a Determinantal Equation.- [12] On the Limiting Distribution of the Canonical Correlations.- [13] Analysis of Variance from the Power Function Standpoint.- [14] Canonical Reduction of the General Regression Problem.- [15] On the Problem of Rank and the Limiting Distribution of Fisher’s Test Function.- [16] The Limiting Distribution of a General Class of Statistics.- [17] Some Simple Facts About the Separation of Degrees of Freedom in Factorial Experiments.- [18] The Approximate Distributions of the Mean and Variance of a Sample of Independent Variables.- [19] On the Approximate Distribution of Ratios.- [20] On the Power Functions of the E2-Test and the T2-Test.- [21] On a Factorization of Pseudo-Orthogonal Matrices.- [22] Sur un Théorème de Probabilités Dénombrables.- [23] On the Asymptotic Distributions of Certain Statistics Used in Testing the Independence Between Successive Observations from a Normal Population.- [24] Complete Convergence and the Law of Large Numbers.- [25] A General Weak Limit Theorem for Independent Distributions.- [26] The Limiting Distribution of Functions of Sample Means and Application to TestingHypotheses.- [27] Absolute Moments and Characteristic Function.- [28] A Lemma on the Coefficient of Reduction of a Sum of Independent Variates.- [29] On Symmetric, Orthogonal, and Skew-Symmetric Matrices.- [30] On Characteristic Functions which Coincide in a Neighborhood of Zero.- [31] On a Kind of Transformations of Matrices.- [32] On a Kind of Transformations of Matrix Pairs.- [33] Simultaneous Transformation of a Hermitian Matrix and a Symmetric or Skew-Symmetric Matrix.- [34] The Absolute Continuity of the Distribution Functions in the Class L.- [35] The Differentiability of the Probability Transition Function of a Purely Discontinuous Stationary Markov Process on the Euclidean Space.- [36] An Association Scheme M3(6) Which Is Not an L3-Scheme.- [37] The Limiting Distributions of Order Statistics.- [38] Partially Balanced Incomplete Block Designs.- [39] On the Coincidence Property of Stochastic Matrices.- [40] BIB Matrices, Simple Codes and Orthogonal Codes.