Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume III: Probability Theory, Volume 3Lucien M. Le Cam, Jerzy Neyman, Elizabeth L. Scott This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1972. |
Contents
Passage Problems | 1 |
Boundaries | 19 |
Logarithm for Maxima and Minima | 51 |
SOLOVIEVAsymptotic Distribution of the Moment | 71 |
Markov ProcessesPotential Theory | 87 |
Brownian Motion | 143 |
S PORT and C STONELogarithmic Potentials and Planar | 177 |
K SATOPotential Operators for Markov Processes | 193 |
R LEADBETTEROn Basic Results of Point Process Theory | 449 |
W J BÜHLERThe Distribution of Generations and Other | 463 |
J GANI First Emptiness Problems in Queueing Storage | 515 |
H E DANIELSKuhnGrün Type Approximations for Polymer | 533 |
KATZ and M SOBELCoverage of Generalized Chess Boards | 555 |
R HOLLEYPressure and Helmholtz Free Energy in a Dynamic | 565 |
MOLLISONThe Rate of Spatial Propagation of Simple | 579 |
W H OLSON and V R R UPPULURI Asymptotic Distribution | 615 |
Markov ProcessesTrajectoriesFunctionals | 213 |
terization of Markov Transition Probabilities | 241 |
E J MCSHANEStochastic Differential Equations and Models | 263 |
P A MEYER R SMYTHE and J WALSHBirth and Death | 295 |
Point Processes Branching Processes | 369 |
H SOLOMON and P C C WANGNonhomogeneous Poisson | 383 |
R Cox and P A W LEWISMultivariate Point Processes | 401 |
Information and Control | 645 |
T FERGUSONLose a Dollar or Double Your Fortune | 657 |
H J KUSHNERNecessary Conditions for Discrete Parameter | 667 |
P VARAIYADifferential Games | 687 |
POSNER and E R RODEMICHEpsilon Entropy of Proba | 699 |
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approximation assume assumption asymptotic B₁ Borel set boundary bounded branching process Brownian motion compact set consider continuous function converges COROLLARY countable defined definition denote density distribution function example exists finite g in G G₁ given Hence implies independent inequality infinite integral intensity functions interval invariant k₁ L₂ norm Lemma Lévy Markov chain Markov processes martingale Math notation obtain p-function parameter partition point process Poisson process positive potential operator probability measure problem proof of Theorem properties prove Radon measure random variables random walk recurrent S(II sample function satisfies Section semi-Markov process semigroup sequence solution space stationary Statist stochastic process subset Suppose t₁ t₂ Theorem 4.1 theory type a events uniformly V₁ values X₁ zero Σ Σ