000 02821nam a22003858i 4500
001 CR9780511897214
003 UkCbUP
005 20200124160331.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101123s1966||||enk o ||1 0|eng|d
020 _a9780511897214 (ebook)
020 _z9780521058889 (hardback)
020 _z9780521090322 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA273
_b.K4915 1966
082 0 _a517.52
_219
100 1 _aKingman, J. F. C.
_q(John Frank Charles),
_eauthor.
245 1 0 _aIntroduction to measure and probability /
_cby J.F.C. Kingman and S.J. Taylor.
246 3 _aIntrodction to Measure & Probability
264 1 _aCambridge :
_bCambridge University Press,
_c1966.
300 _a1 online resource (x, 401 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aTheory of sets -- Point set topology -- Set functions -- Construction and properties of measures -- Definitions and properties of the integral -- Related spaces and measures -- The space of measurable functions -- Linear functionals -- Structure of measures in special spaces -- What is probability? -- Random variables -- Characteristic functions -- Independence -- Finite collections of random variables -- Stochastic processes.
520 _aThe authors believe that a proper treatment of probability theory requires an adequate background in the theory of finite measures in general spaces. The first part of their book sets out this material in a form that not only provides an introduction for intending specialists in measure theory but also meets the needs of students of probability. The theory of measure and integration is presented for general spaces, with Lebesgue measure and the Lebesgue integral considered as important examples whose special properties are obtained. The introduction to functional analysis which follows covers the material (such as the various notions of convergence) which is relevant to probability theory and also the basic theory of L2-spaces, important in modern physics. The second part of the book is an account of the fundamental theoretical ideas which underlie the applications of probability in statistics and elsewhere, developed from the results obtained in the first part. A large number of examples is included; these form an essential part of the development.
650 0 _aProbabilities.
650 0 _aMeasure theory.
650 0 _aIntegrals, Generalized.
700 1 _aTaylor, S. J.
_q(Samuel James),
_eauthor.
776 0 8 _iPrint version:
_z9780521058889
856 4 0 _uhttps://doi.org/10.1017/CBO9780511897214
999 _c522609
_d522607