Probability and statistics

On the limit of a sequence of point sets. Bull Amer Math Soc, 1935, 41: 502–504

A note on the indices and numbers of nondegenerate critical points of biharmonic functions (with Kiang Tsai-han). Science Quarterly, Nat Univ Peking, 1935, 5(3): 389–392

Contributions to the theory of “Student’s” t-test as applied to the problem of twosamples. Statist Res Mem, 1938, 2: 1–24

On the best unbiased quadratic estimate of the variance. Statist. Res. Mem. 1938 2: 91–104

Notes on Hotelling’s generalized T. Ann Math Statist, 1938, 9: 231–243

A new proof of the joint product moment distribution. Proc Cambridge Philos Soc, 1940, 35: 336–338

On the distribution of roots of certain determinantal equations. Ann Eugenics, 1939, 9: 250–258

On n-fold iterated limits. J Chinese Math Soc, 1940, 2: 40–63

An algebraic derivation of the distribution of rectangular coordinates. Proc Edinburgh Math Soc, 1940, 6(2): 185–189

On generalized analysis of variance. Biometrika, 1940, 31: 221–237

On the limiting distribution of roots of a determinantal equation. J London Math Soc, 1941, 16: 183–194

The limiting distribution of the canonical correlations. Biometrika, 1941, 32: 38–45

Analysis of variance from the power function standpoint. Biometrika, 1941, 32: 62–69

On the problem of rank and the limiting distribution of Fisher’s test function. Ann Eugenics, 1941, 11: 39–41

Canonical reduction of the general regression problem. Ann Eugenics, 1941, 11: 42–46

The limiting distribution of a general class of statistics. Acad Sinica Science Record, 1942, 1: 37–41

Some simple facts about the separation of degrees of freedom in factorial experiments. Sankhyā, 1943, 6: 253–254

The approximate distribution of the mean and variance of a sample of independent variables. Ann Math Statist, 1945, 16: 1–29

On the approximate distribution of ratios. Ann Math Statist, 1945, 16: 204–210

On the power functions for the E 2-test and the T 2-test. Ann Math Statist, 1945, 16: 278–286

On a factorization of pseudo-orthogonal matrices. Quart J Math Oxford Ser, 1946, 17: 162–165

Sur un théor`eme de probabilités dénombrables (with Kai-Lai Chung). C R Acad Sci Paris, 1946, 223: 467–469

On the asymptotic distribution of certain statistics used in testing the independence between successive observations from a normal population. Ann Math Statist, 1946, 17: 350–354

Complete convergence and the law of large numbers (with H Robbins). Proc Nat Acad Sci USA, 1947, 33: 25–31

The limiting distributions of functions of sample means and application to testing hypotheses. In: Proc Berkeley Symp Math Statist Probability. Berkeley and Los Angeles: Univ of California Press, 1949, 359–402

Absolute moments and characteristic function. J Chinese Math Soc (New Series), 1951, 1: 257–280 (in English with abstract in Chinese)

A lemma on the coefficient of reduction of a sum of independent variables. Acad Sinica Science Record, 1951, 4: 197–200

Appendix: The Jacobians of certain matrix transformations useful in multivariate analysis (Based on lectures of P L Hsu at the University of North Carolina, 1947, by Walter L Deemer and Ingram Olkin). Biometrika, 1951, 38: 345–3

On symmetric, orthogonal, and skew-symmetric matrices. Proc Edinburgh Math Soc Ser, 1953, 2: 37–44

On characteristic functions which coincide in the neighborhood of zero. Acta Math Sinica (Succeeding J Chinese Math Soc (New Series)), 1954, 4: 21–32 (in Chinese with abstract in English)

On a kind of transformations of matrices. Acta Math Sinica, 1955, 5: 333–346 (in Chinese with abstract in English)

On a kind of transformations of matrix pairs. Acta Sci Natur Univ Pekinensis, 1955, 1: 1–16 (in Chinese with abstract in English)

Simultaneous transformation of a hermitian matrix and asymmetric or skew-symmetric matrix. Acta Sci Natur Univ Pekinensis, 1957, 3: 167–209 (in Chinese with abstract in English)

The differentiability of the probability transition function of a purely discontinuous stationary Markov process on the Euclidean space. Acta Sci Natur Univ Pekinensis, 1958, 4: 257–270 (in Chinese with abstract in English)

The absolute continuity of the distribution function in the class L. Acta Sci Natur Univ Pekinensis, 1958, 4: 145–150 (in Chinese with abstract in English)

An association scheme M 3(6) which is not a L 3-scheme. Acta Math Sinica, 1964, 14: 177–178 (in Chinese)

The limiting distribution of order statistics. Acta Math Sinica, 1964, 14: 694–714 (in Chinese). By pen name “Ban Cheng” as representative for a seminar conducted by Pao-Lu Hsu

Partially balanced incomplete block designs. Prog Math, 1964, 7: 240–281 (in Chinese). By pen name “Ban Cheng” as representative for a seminar conducted by Pao-Lu Hsu

A general weak limit theorem for independent distributions. Appendix III in Limit Distributions of Sums of Independent Random Variables, by B V Gnedenko and A N Kolmogorov, translated by K L Chung, revised edition. Boston: Addison-Wesley, 1968

On the coincidence property of stochastic matrices (with Jiading Chen and Zhongguo Zheng). Acta Sci Natur Univ Pekinensis, 1979, 15: 21–47 (in Chinese with abstract in English)

BIB matrices, simple codes and orthogonal codes. In: Selected Papers of Pao-Lu Hsu. Beijing: Science Press, 1981, 211–225 (in Chinese)

Selected Papers of Pao-Lu Hsu. Beijing: Science Press, 1981 (in Chinese)

Theory of Sampling. Beijing: Peking University Press, 1982 (in Chinese)

Pao-Lu Hsu Collected Papers. New York: Springer-Verlag, 1983

Studies in Markoff chains with a finite number of states. Chinese Journal of Applied Probability and Statistics, 1990, 6: 342–353