1.

Record Nr.

UNISA996466503103316

Autore

Denker Manfred <1944->

Titolo

Ergodic theory on compact spaces / / M. Denker, C. Grillenberger, and K. Sigmund

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1976]

©1967

ISBN

3-540-38263-1

Edizione

[1st ed. 1976.]

Descrizione fisica

1 online resource (VI, 366 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 527

Disciplina

515.42

Soggetti

Metric spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Measure-theoretic dynamical systems -- Measures on compact metric spaces -- Invariant measures for continuous tranformations -- Time averages -- Ergodicity -- Mixing and transitivity -- Shifts and subshifts -- Measures on the shift space -- Partitions and generators -- Information and entropy -- The computation of entropy -- Entropy for Bernoulli and Markov shifts -- Ergodic decompositions -- Topological entropy -- Topological generators -- Expansive homeomorphisms -- Subshifts of finite type -- The variational principle for topological entropy -- Measures with maximal entropy—Intrinsically ergodic systems -- Entropy—Expansive homeomorphisms -- The specification property -- Specification and expansiveness -- Basic sets for axiom A -- Automorphisms of the torus -- More on subshifts of finite type -- Preparations for generator theorems -- Combinatorial construction of minimal sets -- Finite generators for ergodic transformations (theorem of Krieger) -- Strictly ergodic embedding (Theorem of Jewett and Krieger) -- Finite generators for aperiodic transformations -- Embedding theorems for aperiodic transformations.



2.

Record Nr.

UNINA9911019106103321

Autore

Serfling Robert J (Robert Joseph)

Titolo

Approximation theorems of mathematical statistics / / Robert J. Serfling

Pubbl/distr/stampa

New York, : Wiley, c1980

ISBN

9786612307478

9781282307476

1282307479

9780470316481

0470316489

9780470317198

0470317191

Descrizione fisica

1 online resource (400 p.)

Collana

Wiley series in probability and mathematical statistics

Soggetti

Limit theorems (Probability theory)

Mathematical statistics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliography and indexes.

Nota di contenuto

Preliminary Tools and Foundations. The Basic Sample Statistics. Transformations of Given Statistics. Asymptotic Theory in Parametric Inference. U-Statistics. Von Mises Differentiable Statistical Functions. M-Estimates. L-Estimates. R-Estimates. Asymptotic Relative Efficiency. Appendix. References. Author Index. Subject Index.

Sommario/riassunto

This paperback reprint of one of the best in the field covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized.