000 01622cam a2200301 i 4500
999 _c17054
_d17054
001 18049283
003 KE-NaKCAU
005 20190729130445.0
008 140227s2014 ne b 001 0 eng
010 _a 2014007243
020 _a9780128000427
040 _aDLC
_beng
_cKE-NaKCAU
_erda
042 _apcc
050 0 0 _aQA273
_b.R864 2014
082 0 0 _a519.2
_223
100 1 _aRoussas, George G.,
_eauthor.
245 1 3 _aAn introduction to measure-theoretic probability /
_cby George G. Roussas.
250 _aSecond edition.
260 _aAmsterdam :
_bElsevier,
_c2014.
300 _axxiv, 401 pages :
_billustrations ;
_c25 cm.
504 _aIncludes bibliographical references and index.
520 _a"In this introductory chapter, the concepts of a field and of a [sigma]-field are introduced, they are illustrated bymeans of examples, and some relevant basic results are derived.Also, the concept of a monotone class is defined and its relationship to certain fields and [sigma]-fields is investigated. Given a collection of measurable spaces, their product space is defined, and some basic properties are established. The concept of a measurable mapping is introduced, and its relation to certain [sigma]-fields is studied. Finally, it is shown that any random variable is the pointwise limit of a sequence of simple random variables"--
650 0 _aProbability.
_9338
650 0 _aMeasure theory.
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2lcc
_cBK