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The Borel-Cantelli Lemma
This monograph provides an extensive treatment of the theory and applications of the celebrated Borel-Cantelli Lemma. Starting from some of the basic facts of the axiomatic probability theory, it embodies the classical versions of these lemma, together with the well known as well as the most recent...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Delhi :
Springer India : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | SpringerBriefs in Statistics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-81-322-0677-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220113042337.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120703s2012 ii | s |||| 0|eng d | ||
| 020 | |a 9788132206774 |9 978-81-322-0677-4 | ||
| 024 | 7 | |a 10.1007/978-81-322-0677-4 |2 doi | |
| 050 | 4 | |a QA276-280 | |
| 072 | 7 | |a PBT |2 bicssc | |
| 072 | 7 | |a MAT029000 |2 bisacsh | |
| 072 | 7 | |a PBT |2 thema | |
| 082 | 0 | 4 | |a 519.5 |2 23 |
| 100 | 1 | |a Chandra, Tapas Kumar. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Borel-Cantelli Lemma |h [electronic resource] / |c by Tapas Kumar Chandra. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a New Delhi : |b Springer India : |b Imprint: Springer, |c 2012. | |
| 300 | |a XII, 106 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a SpringerBriefs in Statistics, |x 2191-5458 | |
| 505 | 0 | |a 1. Introductory Chapter -- 2. Extensions of the First Borel-Cantelli Lemma -- 3. Variants of the Second Borel-Cantelli Lemma -- 4. A Strengthened Form of the Second Borel-Cantelli Lemma -- 5. Conditional Borel-Cantelli Lemmas -- 6. Miscellaneous Results. | |
| 520 | |a This monograph provides an extensive treatment of the theory and applications of the celebrated Borel-Cantelli Lemma. Starting from some of the basic facts of the axiomatic probability theory, it embodies the classical versions of these lemma, together with the well known as well as the most recent extensions of them due to Barndorff-Nielsen, Balakrishnan and Stepanov, Erdos and Renyi, Kochen and Stone, Petrov and the present author. The versions of the second Borel-Cantelli Lemma for pair wise negative quadrant dependent sequences, weakly *-mixing sequences, mixing sequences (due to Renyi) and for many other dependent sequences are all included. The special feature of the book is a detailed discussion of a strengthened form of the second Borel-Cantelli Lemma and the conditional form of the Borel-Cantelli Lemmas due to Levy, Chen and Serfling. All these results are well illustrated by means of many interesting examples. All the proofs are rigorous, complete and lucid. An extensive list of research papers, some of which are forthcoming, is provided. The book can be used for a self study and as an invaluable research reference on the present topic. | ||
| 650 | 0 | |a Statistics . | |
| 650 | 0 | |a Probabilities. | |
| 650 | 1 | 4 | |a Statistical Theory and Methods. |
| 650 | 2 | 4 | |a Probability Theory. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9788132206781 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132206767 |
| 830 | 0 | |a SpringerBriefs in Statistics, |x 2191-5458 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-81-322-0677-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||