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Problems and Snapshots from the World of Probability
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ISBN: 9780387941615

We, the authors of this book, are three ardent devotees of chance, or some­ what more precisely, of discrete probability. When we were collecting the material, we felt that one special pl… More...

Nr. 978-0-387-94161-5. Shipping costs:Worldwide free shipping, , DE. (EUR 0.00)
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Problems and Snapshots from the World of Probability by Dennis, Holst, Lars, Blom, Gunnar Sandell - Dennis, Holst, Lars, Blom, Gunnar Sandell
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Problems and Snapshots from the World of Probability by Dennis, Holst, Lars, Blom, Gunnar Sandell - used book

ISBN: 9780387941615

This book comprises a collection of 125 problems and snapshots from discrete probability. The problems are selected on the basis of their elegance and utility whereas the snapshots are in… More...

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Problems and Snapshots from the World of Probability - Blom, Gunnar
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Blom, Gunnar:
Problems and Snapshots from the World of Probability - Paperback

2013

ISBN: 9780387941615

Springer, Taschenbuch, Auflage: 1994, 256 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 0.36 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher… More...

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Problems and Snapshots from the World of Probability - Blom, Gunnar
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Blom, Gunnar:
Problems and Snapshots from the World of Probability - Paperback

2013, ISBN: 9780387941615

Springer, Taschenbuch, Auflage: 1994, 256 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 0.36 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher… More...

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Problems and Snapshots from the World of Probability - Blom, Gunnar
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Blom, Gunnar:
Problems and Snapshots from the World of Probability - Paperback

2013, ISBN: 9780387941615

Springer, Taschenbuch, Auflage: 1994, 256 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, 0.36 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher… More...

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Details of the book
Problems and Snapshots from the World of Probability

This book comprises a collection of 125 problems and snapshots from discrete probability. The problems are selected on the basis of their historical interest whereas the snapshots provide quick overviews of topics in probability such as Markov chains, Poisson processes, random walks, patterns in random sequences, cover times, and embedding procedures. This book will appeal to all those who enjoy problems with probabilistic flavor. The authors presuppose a basic exposure to discrete mathematics and elementary probability. Students will find this a stimulating companion to their courses in probability. More advanced researchers will appreciate the original style of the problems, some of which may even inspire new areas for research.

Details of the book - Problems and Snapshots from the World of Probability


EAN (ISBN-13): 9780387941615
ISBN (ISBN-10): 0387941614
Hardcover
Paperback
Publishing year: 1993
Publisher: Springer
256 Pages
Weight: 0,389 kg
Language: eng/Englisch

Book in our database since 2007-06-25T11:08:47-04:00 (New York)
Detail page last modified on 2024-02-21T13:00:21-05:00 (New York)
ISBN/EAN: 9780387941615

ISBN - alternate spelling:
0-387-94161-4, 978-0-387-94161-5
Alternate spelling and related search-keywords:
Book author: holst gunnar, blom, sandel, sandell
Book title: probability world, problems probability, rom, problems and, probability course, from snapshots, sandell


Information from Publisher

Author: Gunnar Blom; Lars Holst; Dennis Sandell
Title: Problems and Snapshots from the World of Probability
Publisher: Springer; Springer US
256 Pages
Publishing year: 1993-12-02
New York; NY; US
Weight: 0,800 kg
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XII, 256 p.

BC; Probability Theory and Stochastic Processes; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Markov chain; Martingale; Poisson process; Probability theory; Random variable; random walk; Probability Theory; Stochastik; EA

1. Welcoming problems.- 1.1 The friendly illiterate.- 1.2 Tourist with a short memory.- 1.3 The car and the goats.- 1.4 Patterns I.- 1.5 Classical random walk I.- 1.6 Number of walks until no shoes.- 1.7 Banach’s match box problem.- 1.8 The generous king.- 2. Basic probability theory I.- 2.1 Remarkable conditional probabilities.- 2.2 Exchangeability I.- 2.3 Exchangeability II.- 2.4 Combinations of events I.- 2.5 Problems concerning random numbers.- 2.6 Zero-one random variables I.- 3. Basic probability theory II.- 3.1 A trick for determining expectations.- 3.2 Probability generating functions.- 3.3 People at the corners of a triangle.- 3.4 Factorial generating functions.- 3.5 Zero-one random variables II.- 3.6 Combinations of events II.- 4. Topics from early days I.- 4.1 Cardano — a pioneer.- 4.2 Birth of probability.- 4.3 The division problem.- 4.4 Huygens’s second problem.- 4.5 Huygens’s fifth problem.- 4.6 Points when throwing several dice.- 4.7 Bernoulli and the game of tennis.- 5. Topics from early days II.- 5.1 History of some common distributions.- 5.2 Waldegrave’s problem I.- 5.3 Petersburg paradox.- 5.4 Rencontre I.- 5.5 Occupancy I.- 5.6 Stirling numbers of the second kind.- 5.7 Bayes’s theorem and Law of Succession.- 5.8 Ménage I.- 6. Random permutations.- 6.1 Runs I.- 6.2 Cycles in permutations.- 6.3 Stirling numbers of the first kind.- 6.4 Ascents in permutations.- 6.5 Eulerian numbers.- 6.6 Exceedances in permutations.- 6.7 Price fluctuations.- 6.8 Oscillations I.- 6.9 Oscillations II.- 7. Miscellaneous I.- 7.1 Birthdays.- 7.2 Poker.- 7.3 Negative binomial.- 7.4 Negative hypergeometric I.- 7.5 Coupon collecting I.- 7.6 Coupon collecting II.- 7.7 Ménage II.- 7.8 Rencontre II.- 8. Poisson approximation.- 8.1 Similar pairs and triplets.- 8.2 A Lotto problem.- 8.3 Variation distance.- 8.4 Poisson-binomial.- 8.5 Rencontre III.- 8.6 Ménage III.- 8.7 Occupancy II.- 9. Miscellaneous II.- 9.1 Birthdays and similar triplets.- 9.2 Comparison of random numbers.- 9.3 Grouping by random division.- 9.4 Records I.- 9.5 Records II.- 9.6 A modification of blackjack.- 10. Random walks.- 10.1 Introduction.- 10.2 Classical random walk II.- 10.3 One absorbing barrier.- 10.4 The irresolute spider.- 10.5 Stars I.- 10.6 Closed stopping region.- 10.7 The reflection principle.- 10.8 Ballot problem.- 10.9 Range of a random walk.- 11. Urn models.- 11.1 Randomly filled urn.- 11.2 Pólya’s model I.- 11.3 Pólya’s model II.- 11.4 Pólya’s model III.- 11.5 Ehrenfest’s model I.- 11.6 Ehrenfest’s game.- 11.7 A pill problem.- 12. Cover times.- 12.1 Introduction.- 12.2 Complete graph.- 12.3 Linear finite graph.- 12.4 Polygon.- 12.5 A false conjecture.- 12.6 Stars II.- 12.7 Inequality for cover times.- 13. Markov chains.- 13.1 Review I.- 13.2 Review II.- 13.3 Random walk: two reflecting barriers.- 13.4 Ehrenfest’s model II.- 13.5 Doubly stochastic transition matrix.- 13.6 Card shuffling.- 13.7 Transition times for Markov chains.- 13.8 Reversible Markov chains.- 13.9 Markov chains with homesickness.- 14. Patterns.- 14.1 Runs II.- 14.2 Patterns II.- 14.3 Patterns III.- 14.4 A game for pirates.- 14.5 Penney’s game.- 14.6 Waldegrave’s problem II.- 14.7 How many patterns?.- 15. Embedding procedures.- 15.1 Drawings with replacement.- 15.2 Repetition of colours.- 15.3 Birthdays revisited.- 15.4 Coupon collecting III.- 15.5 Drawings without replacement.- 15.6 Socks in the laundry.- 15.7 Negative hypergeometric II.- 15.8 The first-to-r game I.- 16. Special topics.- 16.1 Exchangeability III.- 16.2 Martingales.- 16.3 Wald’s equation.- 16.4 Birth control.- 16.5 The r-heads-in-advance game.- 16.6 Patterns IV.- 16.7 Random permutation of 1’s and (?1)’s.- 17. Farewell problems.- 17.1 The first-to-r game II.- 17.2 Random walk on a chessboard.- 17.3 Game with disaster.- 17.4 A rendezvous problem.- 17.5 Modified coin-tossing.- 17.6 Palindromes.- References.

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9781461243045 Problems and Snapshots from the World of Probability (Gunnar Blom/ Lars Holst/ Dennis Sandell)


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