| 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 |
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| 050 | 0 | 0 |
_aQA273 _b.K4915 1966 |
| 082 | 0 |
_a517.52 _219 |
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| 100 | 1 |
_aKingman, J. F. C. _q(John Frank Charles), _eauthor. |
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| 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. |
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| 300 |
_a1 online resource (x, 401 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 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. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521058889 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511897214 |
| 999 |
_c522609 _d522607 |
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