Probability: an introduction
(eBook)
Author:
Contributors:
Welsh, D. J. A., author.
Published:
Oxford : Oxford University Press, [2014].
Format:
eBook
Edition:
Second edition.
ISBN:
9780191019920, 0191019925, 9781322336381, 1322336385
Physical Desc:
1 online resource (x, 270 pages) : illustrations
Status:
Ebsco (CCU)
Description
Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields. It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains. A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is en.
Copies
Ebsco (CCU)
Subjects
LC Subjects
OCLC Fast Subjects
Citations
APA Citation (style guide)
Grimmett, G., & Welsh, D. J. A. (2014). Probability: an introduction. Second edition. Oxford, Oxford University Press.
Chicago / Turabian - Author Date Citation (style guide)Grimmett, Geoffrey and D. J. A., Welsh. 2014. Probability: An Introduction. Oxford, Oxford University Press.
Chicago / Turabian - Humanities Citation (style guide)Grimmett, Geoffrey and D. J. A., Welsh, Probability: An Introduction. Oxford, Oxford University Press, 2014.
MLA Citation (style guide)Grimmett, Geoffrey, and D. J. A. Welsh. Probability: An Introduction. Second edition. Oxford, Oxford University Press, 2014.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
More Copies In Prospector
Loading Prospector Copies...
More Details
Language:
English
Notes
Bibliography
Includes bibliographical references and index.
Description
Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields. It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains. A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is en.
Language
English.
Staff View
Grouped Work ID:
f40c8b40-4a6a-aa3d-32ca-3b4366b9949d
Record Information
| Last File Modification Time | Apr 05, 2024 09:36:44 PM |
|---|---|
| Last Grouped Work Modification Time | Apr 05, 2024 09:12:39 PM |
MARC Record
| LEADER | 07002cam a2200865 i 4500 | ||
|---|---|---|---|
| 001 | ocn891447200 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr mn||||||||| | ||
| 008 | 140927t20142014enka ob 001 0 eng d | ||
| 040 | |a EBLCP|b eng|e rda|e pn|c EBLCP|d N$T|d OCLCQ|d E7B|d DEBSZ|d YDXCP|d IDEBK|d COO|d OSU|d OCLCQ|d OCLCF|d LIP|d UAB|d OCLCQ|d N$T|d CNCGM|d U3W|d OCLCQ|d AU@|d ERL|d G3B|d JBG|d IGB|d STF|d AUW|d BTN|d INTCL|d MHW|d SNK|d LOA|d MERUC|d VT2|d S2H|d UKAHL|d OCLCQ|d ITD|d VLY|d OCLCO|d OCLCQ|d OCLCO|d OCLCL | ||
| 019 | |a 1081337732|a 1103257161|a 1111282722|a 1117212147|a 1117861354|a 1162064393|a 1228576748 | ||
| 020 | |a 9780191019920|q (electronic bk.) | ||
| 020 | |a 0191019925|q (electronic bk.) | ||
| 020 | |a 9781322336381|q (electronic bk.) | ||
| 020 | |a 1322336385|q (electronic bk.) | ||
| 020 | |z 9780198709961|q (hardback) | ||
| 020 | |z 019870996X|q (hardback) | ||
| 020 | |z 9780198709978|q (pbk.) | ||
| 020 | |z 0198709978|q (pbk.) | ||
| 029 | 1 | |a AU@|b 000061302288 | |
| 029 | 1 | |a CHNEW|b 000696934 | |
| 029 | 1 | |a CHNEW|b 000696935 | |
| 029 | 1 | |a CHNEW|b 000948865 | |
| 029 | 1 | |a DEBSZ|b 415193990 | |
| 029 | 1 | |a DEBSZ|b 445987197 | |
| 029 | 1 | |a NLGGC|b 382681797 | |
| 035 | |a (OCoLC)891447200|z (OCoLC)1081337732|z (OCoLC)1103257161|z (OCoLC)1111282722|z (OCoLC)1117212147|z (OCoLC)1117861354|z (OCoLC)1162064393|z (OCoLC)1228576748 | ||
| 037 | |a 664920|b MIL | ||
| 050 | 4 | |a QA273|b .G735 2014eb | |
| 072 | 7 | |a MAT|x 003000|2 bisacsh | |
| 072 | 7 | |a MAT|x 029000|2 bisacsh | |
| 082 | 0 | 4 | |a 519.2|2 23 |
| 049 | |a MAIN | ||
| 100 | 1 | |a Grimmett, Geoffrey,|e author. | |
| 245 | 1 | 0 | |a Probability :|b an introduction /|c Geoffrey Grimmett, Dominic Welsh. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Oxford :|b Oxford University Press,|c [2014] | |
| 264 | 4 | |c ©2014 | |
| 300 | |a 1 online resource (x, 270 pages) :|b illustrations | ||
| 336 | |a text|b txt|2 rdacontent | ||
| 337 | |a computer|b c|2 rdamedia | ||
| 338 | |a online resource|b cr|2 rdacarrier | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover; Preface to the second edition; Contents; Part A Basic Probability; 1 Events and probabilities; 1.1 Experiments with chance; 1.2 Outcomes and events; 1.3 Probabilities; 1.4 Probability spaces; 1.5 Discrete sample spaces; 1.6 Conditional probabilities; 1.7 Independent events; 1.8 The partition theorem; 1.9 Probability measures are continuous; 1.10 Worked problems; 1.11 Problems; 2 Discrete random variables; 2.1 Probability mass functions; 2.2 Examples; 2.3 Functions of discrete random variables; 2.4 Expectation; 2.5 Conditional expectation and the partition theorem; 2.6 Problems. | |
| 505 | 8 | |a 3 Multivariate discrete distributions and independence3.1 Bivariate discrete distributions; 3.2 Expectation in the multivariate case; 3.3 Independence of discrete random variables; 3.4 Sums of random variables; 3.5 Indicator functions; 3.6 Problems; 4 Probability generating functions; 4.1 Generating functions; 4.2 Integer-valued random variables; 4.3 Moments; 4.4 Sums of independent random variables; 4.5 Problems; 5 Distribution functions and density functions; 5.1 Distribution functions; 5.2 Examples of distribution functions; 5.3 Continuous random variables. | |
| 505 | 8 | |a 5.4 Some common density functions5.5 Functions of random variables; 5.6 Expectations of continuous random variables; 5.7 Geometrical probability; 5.8 Problems; Part B Further Probability; 6 Multivariate distributions and independence; 6.1 Random vectors and independence; 6.2 Joint density functions; 6.3 Marginal density functions and independence; 6.4 Sums of continuous random variables; 6.5 Changes of variables; 6.6 Conditional density functions; 6.7 Expectations of continuous random variables; 6.8 Bivariate normal distribution; 6.9 Problems; 7 Moments, and moment generating functions. | |
| 505 | 8 | |a 7.1 A general note7.2 Moments; 7.3 Variance and covariance; 7.4 Moment generating functions; 7.5 Two inequalities; 7.6 Characteristic functions; 7.7 Problems; 8 The main limit theorems; 8.1 The law of averages; 8.2 Chebyshev's inequality and the weak law; 8.3 The central limit theorem; 8.4 Large deviations and Cramér's theorem; 8.5 Convergence in distribution, and characteristic functions; 8.6 Problems; Part C Random Processes; 9 Branching processes; 9.1 Random processes; 9.2 A model for population growth; 9.3 The generating-function method; 9.4 An example; 9.5 The probability of extinction. | |
| 505 | 8 | |a 9.6 Problems10 Random walks; 10.1 One-dimensional random walks; 10.2 Transition probabilities; 10.3 Recurrence and transience of random walks; 10.4 The Gambler's Ruin Problem; 10.5 Problems; 11 Random processes in continuous time; 11.1 Life at a telephone switchboard; 11.2 Poisson processes; 11.3 Inter-arrival times and the exponential distribution; 11.4 Population growth, and the simple birth process; 11.5 Birth and death processes; 11.6 A simple queueing model; 11.7 Problems; 12 Markov chains; 12.1 The Markov property; 12.2 Transition probabilities; 12.3 Class structure. | |
| 520 | |a Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields. It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains. A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is en. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 6 | |a Probabilités. | |
| 650 | 7 | |a probability.|2 aat | |
| 650 | 7 | |a MATHEMATICS|x Applied.|2 bisacsh | |
| 650 | 7 | |a MATHEMATICS|x Probability & Statistics|x General.|2 bisacsh | |
| 650 | 7 | |a Probabilities|2 fast | |
| 650 | 7 | |a Probability & statistics.|2 thema | |
| 650 | 7 | |a Stochastics.|2 thema | |
| 650 | 7 | |a Maths for scientists.|2 thema | |
| 650 | 7 | |a Mathematics.|2 ukslc | |
| 700 | 1 | |a Welsh, D. J. A.,|e author. | |
| 758 | |i has work:|a Probability (Text)|1 https://id.oclc.org/worldcat/entity/E39PCG7yVBdyWvXhKhjmmvXHT3|4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version:|a Grimmett, Geoffrey.|t Probability.|b 2nd ed.|d Oxford : Oxford University Press, 2014|z 9780198709978 |
| 856 | 4 | 0 | |u http://ezproxy.ccu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=852090 |
| 938 | |a Askews and Holts Library Services|b ASKH|n AH27183019 | ||
| 938 | |a ProQuest Ebook Central|b EBLB|n EBL1791152 | ||
| 938 | |a ebrary|b EBRY|n ebr10935430 | ||
| 938 | |a EBSCOhost|b EBSC|n 852090 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection|b IDEB|n cis30191932 | ||
| 938 | |a YBP Library Services|b YANK|n 12085009 | ||
| 949 | 0 | 1 | |h 9|l cceb|s j|t 188|w EBSCO Academic : External |
| 994 | |a 92|b FCX | ||
