Fourth Berkeley Symposium on Mathematical Statistics and Probability
June 20-July 30, 1960 | Statistical Laboratory of the University of California, Berkeley
Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Contributions to Probability Theory

Editor(s) Jerzy Neyman

Berkeley Symp. on Math. Statist. and Prob., 4.2: 633pp. (1961).
TABLE OF CONTENTS
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B. V. Gnedenko
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 1-15 (1961).
KEYWORDS: Obituary, 01.50
J. L. Doob
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 17-20 (1961).
KEYWORDS: Biography, 85.00, 85.60
Yu. K. Belayev
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 23-33 (1961).
KEYWORDS: Correlation function, Local properties of sample functions
K. L. Chung
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 35-56 (1961).
KEYWORDS: Continuous time, Transition intensity, Entrance problem, Fictitious state, 60.65
Harald Cramér
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 57-78 (1961).
KEYWORDS: Spectral representation, Finite second-order moment, Normal shift operator, 60.40
J. H. Curtiss
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 79-93 (1961).
KEYWORDS: Trigonometric interpolation, Jordan curve, Complex domain, Uniform convergence, 41.10
J. L. Doob
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 95-102 (1961).
KEYWORDS: Submartingale convergence, Potential theory, Upcrossing inequality, Green space, 60.40
A. Dvoretzky , P. Erd?s , S. Kakutani
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 103-116 (1961).
KEYWORDS: 60.62
E. B. Dynkin
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 117-142 (1961).
KEYWORDS: Transition function, Multiplicative functional, 60.60
Marek Fisz
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 143-151 (1961).
KEYWORDS: Jump function, Martingale, 60.40
B. V. Gnedenko , V. S. Koroluk , A. V. Skorokhod
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 153-170 (1961).
KEYWORDS: Boundaries of random walk, Rate of convergence, 60.30
Ulf Grenander
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 171-184 (1961).
KEYWORDS: Linear vector space, Banach algebra, Topological groups, 60.08
Otto Hanš
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 185-202 (1961).
KEYWORDS: Contraction mapping, Linear bounded operator, Experience theory, Random integral equation, Stochastic integration, 47.99, 60.00
Henry Helson , David Lowdenslager
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 203-212 (1961).
KEYWORDS: Multivariate prediction problem, Moving average, Szegö theorem, 60.50
Wassily Hoeffding
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 213-226 (1961).
KEYWORDS: Absorption, Convergence, Multidimensional distribution, 60.40, 60.30
Kiyosi Itô
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 227-238 (1961).
KEYWORDS: Physics, Quantum mechanics, 60.75
Shizuo Kakutani
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 239-247 (1961).
KEYWORDS: Multiplicative unitary transformation, Homogeneous chaos, Symmetric tensor product, 60.50
Samuel Karlin , James McGregor
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 249-272 (1961).
KEYWORDS: Stationary Markov process, Spectral measure, Convergence, Sojourn time, 60.67
Paul Lévy
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 273-287 (1961).
KEYWORDS: Vitali nonmeasurable sets, Hamel function, Independence paradox, 28.13
Yu. V. Linnik
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 289-306 (1961).
KEYWORDS: Local limit theorem, Integral limit theorem, Zone or normal convergence, 60.30
Eugene Lukacs
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 307-335 (1961).
KEYWORDS: Frequency function of stable distribution, Unimodality, Polynomial regression, Characterization problem, Infinite divisibility, 60.20
J. G. Mauldon
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 337-345 (1961).
KEYWORDS: Crystal, Fluid flow, Markov chain, Convergence, 60.90
Jacques Neveu
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 347-391 (1961).
KEYWORDS: Perturbation form, 60.60, 60.69
E. J. G. Pitman
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 393-402 (1961).
KEYWORDS: Standard deviation, Derivatives, 60.20
Yu. V. Prohorov
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 403-419 (1961).
KEYWORDS: Topological space, 60.08
G. E. H. Reuter
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 421-430 (1961).
KEYWORDS: Epidemiology, Recurrence, Absorption, 60.60
M. Rosenblatt
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 431-443 (1961).
KEYWORDS: Mixing, Ergodicity, Stationarity generated by independence, 60.50
Yu. A. Rozanov
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 445-454 (1961).
KEYWORDS: Weak dependence, Strong mixing condition, Spectral measure, stationary process, Log likelihood, Large deviations, Asymptotics, 60.30, 60.40
Czesaw Ryll-Nardzewski
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 455-465 (1961).
KEYWORDS: Ergodic theory, stationary process, Measure preserving recurrence transformation, Queue, Telephony, 60.80
Walter L. Smith
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 467-514 (1961).
KEYWORDS: Insistent subsequence of random variables, Lattice sequence, Series of characteristic function, 60.70
Frank Spitzer
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 515-534 (1961).
KEYWORDS: Imbeded Markov chain, Fourier analysis, Potential kernel, Harmonic measure, Capacity, Logarithmic potential theory, 60.66
Lajos Takács
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 535-567 (1961).
KEYWORDS: Virtual waiting time, Busy period, Limiting distribution, 60.80
K. Urbanik
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 569-580 (1961).
KEYWORDS: Schwartz distribution, Pseudonorm, 60.40
David M. G. Wishart
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 581-592 (1961).
KEYWORDS: Transition operator, 60.80
A. M. Yaglom
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 593-622 (1961).
KEYWORDS: Spectral representation, Random fields or groups, 60.50
Kôsaku Yosida
Berkeley Symposium on Mathematical Statistics and Probability Vol. 4.2, 623-633 (1961).
KEYWORDS: Semigroup of bounded linear operator, Operator theory, Diffusion equation, Temporal inhomogeneity, Fractional power operator, 47.50, 34.95
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