X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Book
    Book
    Problems and snapshots from the world of probability / (1994)
    New York [u.a.] :Springer,
    Details
    UID:
    almafu_BV009110277
    Format: XII, 240 S. : , Illustrationen.
    ISBN: 3-540-94161-4 , 0-387-94161-4
    Content: 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 intended to provide a quick overview of topics in probability. These include combinatorics, Poisson approximation, patterns in random sequences, Markov chains, random walks, cover times, and embedding procedures
    Content: A wide range of readers will enjoy this diverse selection of topics. Students will find this a helpful and stimulating companion to their probability courses. The snapshots will leave the students with an expanded knowledge about topics not generally covered by textbooks. Other than a basic exposure to probabilistic ideas, such as might be gained from a first course in probability, it is self-contained
    Content: Consequently, almost all of the problems can be tackled by undergraduate students as well as appeal to those who enjoy the challenge of constructing and solving problems
    Note: Literaturverz. S. 230 - 235
    Language: English
    Subjects: Mathematics
    RVK:
    SK 800
    Keywords: Wahrscheinlichkeitsrechnung ; Wahrscheinlichkeit ; Beispielsammlung ; Beispielsammlung ; Beispielsammlung
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006040549&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006040549&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    HU Berlin get availability status
    FU Berlin get availability status
    BTU Cottbus get availability status
    TU Berlin get availability status
  • 2
    Online Resource
    Online Resource
    Problems and Snapshots from the World of Probability (1994)
    New York, NY :Springer New York,
    Details
    UID:
    almahu_9947362821302882
    Format: XII, 256 p. , online resource.
    ISBN: 9781461243045
    Content: 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 pleasure of the field lay in its evocation of an earlier age: many of our 'probabilistic forefathers' were dexterous solvers of discrete problems. We hope that this pleasure will be transmitted to the readers. The first problem-book of a similar kind as ours is perhaps Mosteller's well-known Fifty Challenging Problems in Probability (1965). Possibly, our book is the second. The book contains 125 problems and snapshots from the world of prob­ ability. A 'problem' generally leads to a question with a definite answer. A 'snapshot' is either a picture or a bird's-eye view of some probabilistic field. The selection is, of course, highly subjective, and we have not even tried to cover all parts of the subject systematically. Limit theorems appear only seldom, for otherwise the book would have become unduly large. We want to state emphatically that we have not written a textbook in probability, but rather a book for browsing through when occupying an easy-chair. Therefore, ideas and results are often put forth without a machinery of formulas and derivations; the conscientious readers, who want to penetrate the whole clockwork, will soon have to move to their desks and utilize appropriate tools.
    Note: 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.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9780387941615
    Language: English
    Keywords: Beispielsammlung
    DOI: 10.1007/978-1-4612-4304-5
    URL: http://dx.doi.org/10.1007/978-1-4612-4304-5
    URL: Volltext
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Online Access
    Open Access Request
    HU Berlin
    BTU Cottbus
  • 3
    Online Resource
    Online Resource
    Problems and snapshots from the world of probability / (1994)
    New York, [New York] :Springer-Verlag,
    Details
    UID:
    almahu_9949088163202882
    Format: 1 online resource (240 pages) : , illustrations
    ISBN: 9781461243045 (e-book)
    Note: "With 30 Illustrations."
    Additional Edition: Print version: Blom, Gunnar. Problems and snapshots from the world of probability. New York, [New York] : Springer-Verlag, c1994 ISBN 9780387941615
    Language: English
    Keywords: Electronic books.
    URL: Click to View
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    HU Berlin
Nothing or not found what you are looking for? Please check your search query or use the Interlibrary Loan Search.
Close ⊗
This website uses cookies and the analysis tool Matomo. Further information can be found on the KOBV privacy pages