Collected Papers

ISBN-13: 9781493922413 / Angielski / Miękka / 2014 / 589 str.

Pao-Lu Hsu; Tse-Pei Lai Chiang

Opis

This volume contains all the published mathematical papers by the late Professor Pao-Lu Hsu. A volume of selected papers, including 19 items, six of which were in Chinese, was published by the Science Press in China in 1981. At the request of Beijing University, I took charge of the present, more complete compilation. My task was made easy by a previous list of Hsu's publications in the memorial article in the Annals 01 Statistics, Vol. 7, No. 3 (1979). The list has now been revised to contain 40 items instead of 37. Seven of the papers, Nos. 30, 31, 32, 33, 35, 38, and 40 on the new list, have been translated from the Chinese by Messrs. Sun, Cheng, Hsu, and Shih, as indicated on the first page of each article. This project was financed by Beijing University and accomplished with the goodwill and generosity of these colleagues, and the splendid cooperation of the staff of Springer-Verlag, with the personal blessing of Dr. H. Gotze. These papers, as weIl as several others published after Hsu's return to China in 1947, are now available to international readers for the first time. In addition, Hsu's old friend, H. Robbins, contributed the hitherto unpublished portion of their joint paper No. 24; Hsu's colleagues Kiang and Tuan in Beijing rewrote their memorial tribute for this occasion.

Spis treści

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 Testing Hypotheses.- [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.