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008 150903s2012 ii | o |||| 0|eng d
020 _a9788132206774
_99788132206774
024 7 _a10.1007/9788132206774
_2doi
035 _avtls000364028
039 9 _a201509030642
_bVLOAD
_c201405070352
_dVLOAD
_y201402211203
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA276-280
100 1 _aChandra, Tapas Kumar.
_eautor
_9352114
245 1 4 _aThe Borel-Cantelli Lemma /
_cby Tapas Kumar Chandra.
264 1 _aIndia :
_bSpringer India :
_bImprint: Springer,
_c2012.
300 _axii, 106 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aSpringerBriefs in Statistics,
_x2191-544X ;
_v2
500 _aSpringer eBooks
505 0 _a1. 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 _aThis 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9788132206767
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-81-322-0677-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c311041
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