Probability and Information Theory
Springer Berlin (Verlag)
978-3-540-04608-0 (ISBN)
On different characterizations of entropies.- The structure of capacity functions for compound channels.- Boolean algebraic methods in Markov chains.- Maxima of partial sums.- Series expansions for random processes.- Glivenko-Cantelli type theorems for distance functions based on the modified empirical distribution function of M. Kac and for the empirical process with random sample size in general.- On the continuity of Markov processes.- Some mathematical problems in statistical mechanics.- Asymptotic behaviour of the average probability of error for low rates of information transmission.- On the optimum rate of transmitting information.- A necessary and sufficient condition for the validity of the local ergodic theorem.- Recent results on mixing in topological measure spaces.- Convergence in probability and allied results.- Applications of almost surely convergent constructions of weakly convergent processes.- Random processes defined through the interaction of an infinite particle system.- The central limit theorem and ?-entropy.- Maximum probability estimators with a general loss function.
| Erscheint lt. Verlag | 1.1.1969 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | IV, 260 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 376 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | Boolean algebra • Entropy • ergodic theory • Information • Informationstheorie • Information Theory • Markov Chain • Markov process • Mixing • Probability • Wahrscheinlichkeitsrechnung |
| ISBN-10 | 3-540-04608-9 / 3540046089 |
| ISBN-13 | 978-3-540-04608-0 / 9783540046080 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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