The doctrine of chances: probabilistic aspects of gambling
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
[2010]
|
| Schriftenreihe: | Probability and its applications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 816 Seiten |
| ISBN: | 3540787828 9783540787822 |
Internformat
MARC
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| 100 | 1 | |a Ethier, Stewart N. |d 1948- |e Verfasser |0 (DE-588)141523905 |4 aut | |
| 245 | 1 | 0 | |a The doctrine of chances |b probabilistic aspects of gambling |c Stewart N. Ethier |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c [2010] | |
| 300 | |a XIV, 816 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Probability and its applications | |
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| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-78783-9 |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020132295&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020132295 | ||
Datensatz im Suchindex
| _version_ | 1804142701256376322 |
|---|---|
| adam_text | Contents
Preface
.......................................................
v
List of Notation
.............................................. xiii
Part I Theory
1
Review of Probability
.................................... 3
1.1
Combinatorics and Probability
........................... 3
1.2
Independence and Conditional Probability
................. 15
1.3
Random Variables and Random Vectors
................... 21
1.4
Expectation and Variance
............................... 27
1.5
Law of Large Numbers and Central Limit Theorem
......... 42
1.6
Problems
.............................................. 52
1.7
Notes
................................................. 64
2
Conditional Expectation
.................................. 75
2.1
Conditioning on an Event
............................... 75
2.2
Conditioning on a Random Vector
........................ 79
2.3
Problems....
.......................................... 88
2.4
Notes
................................................. 92
3
Martingales
............................................... 95
3.1
Definitions and Examples
................................ 95
3.2
Optional Stopping Theorem
............................. 99
3.3
Martingale Convergence Theorem
........................ 106
3.4
Problems
..............................................
Ill
3.5
Notes
................................................. 115
4
Markov Chains
........................................... 119
4.1
Definitions and Examples
................................ 119
4.2
Transience and Recurrence
.............................. 127
4.3
Asymptotic Behavior
................................... 136
χ
Contents
4.4
Renewal Theorem
......................................145
4.5
Problems
..............................................150
4.6
Notes
.................................................157
5
Game Theory
.............................................159
5.1
Matrix Games
.........................................159
5.2
Minimax Theorem
......................................174
5.3
Utility Theory
.........................................185
5.4
Problems
..............................................193
5.5
Notes
.................................................197
6
House Advantage
.........................................199
6.1
A Single Wager
........................................199
6.2
Composite Wagers
......................................219
6.3
Volatility
..............................................225
6.4
Problems
..............................................231
6.5
Notes
.................................................236
7
Gambler s Ruin
...........................................241
7.1
Even-Money Payoffs
....................................241
7.2
Integer Payoffs
.........................................252
7.3
Arbitrary Payoffs
.......................................259
7.4
Problems
..............................................267
7.5
Notes
.................................................271
8
Betting Systems
..........................................275
8.1
Examples
..............................................275
8.2
Conservation of Fairness
.................................298
8.3
Problems
..............................................305
8.4
Notes
.................................................311
9
Bold Play
.................................................317
9.1
Red-and-Black
.........................................317
9.2
Red-and-Black with a House Limit
.......................330
9.3
Primitive Casinos
......................................338
9.4
Problems
..............................................350
9.5
Notes
.................................................355
10
Optimal Proportional Play
...............................357
10.1
A Single Wager
........................................357
10.2
Simultaneous Wagers
...................................363
10.3
Optimality Properties
...................................371
10.4
Problems
..............................................384
10.5
Notes
.................................................388
Contents xi
11 Card
Theory .............................................
391
11.1
Shuffling
..............................................391
11.2
Dealing
...............................................400
11.3
Card Counting
.........................................408
11.4
Problems
..............................................421
11.5
Notes
.................................................424
Part II Applications
12
Slot Machines
............................................429
12.1
Expected Payout
.......................................429
12.2
Volatility and Ruin
.....................................441
12.3
Problems
..............................................450
12.4
Notes
.................................................455
13
Roulette
..................................................461
13.1
Unbiased Wheels
.......................................461
13.2
Biased Wheels
.........................................469
13.3
Problems
.............................................. 474
13.4
Notes
.................................................477
14
Keno
.....................................................483
14.1
The m-Spot Ticket
.....................................483
14.2
Way Tickets
...........................................489
14.3
Problems
..............................................493
14.4
Notes
.................................................496
15
Craps
.....................................................501
15.1
Line Bets and Free Odds
................................501
15.2
The Shooter s Hand
....................................505
15.3
Problems
..............................................513
15.4
Notes
.................................................517
16
House-Banked Poker
.....................................525
16.1
Let It Ride
............................................525
16.2
Three Card Poker
......................................534
16.3
Problems
..............................................539
16.4
Notes
.................................................542
17
Video Poker
..............................................545
17.1
Jacks or Better
.........................................545
17.2
Deuces Wild
...........................................553
17.3
Problems
..............................................566
17.4
Notes
.................................................570
xii Contents
18
Faro
......................................................573
18.1
The Denomination Bet
..................................573
18.2
From Soda to Hock
.....................................578
18.3
Problems
..............................................586
18.4
Notes
.................................................589
19
Baccarat
..................................................597
19.1
Player vs. Banker
.......................................597
19.2
Card Counting
.........................................605
19.3
Problems
..............................................608
19.4
Notes
.................................................613
20
Trente et Quarante
.......................................623
20.1
Red, Black, Color, Inverse
...............................623
20.2
Card Counting
.........................................628
20.3
Problems
..............................................634
20.4
Notes
.................................................637
21
Twenty-One
..............................................643
21.1
Rules
.................................................643
21.2
Basic Strategy
.........................................650
21.3
Card Counting
.........................................663
21.4
Problems
..............................................670
21.5
Notes
.................................................676
22
Poker
.....................................................689
22.1
Rules and Pot Odds
....................................689
22.2
Poker Models and Game Theory
.........................694
22.3
Texas Hold em
.........................................704
22.4
Problems
..............................................725
22.5
Notes
.................................................731
A Results Cited
.............................................745
A.I Algebra and Number Theory
.............................745
A.
2
Analysis and Probability
................................747
Bibliography
..................................................751
Index
.........................................................783
|
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| id | DE-604.BV025524517 |
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| indexdate | 2024-07-09T22:35:57Z |
| institution | BVB |
| isbn | 3540787828 9783540787822 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020132295 |
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| physical | XIV, 816 Seiten |
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| series2 | Probability and its applications |
| spelling | Ethier, Stewart N. 1948- Verfasser (DE-588)141523905 aut The doctrine of chances probabilistic aspects of gambling Stewart N. Ethier Berlin ; Heidelberg Springer [2010] XIV, 816 Seiten txt rdacontent n rdamedia nc rdacarrier Probability and its applications Glücksspiel (DE-588)4021329-8 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Glücksspiel (DE-588)4021329-8 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-78783-9 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020132295&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ethier, Stewart N. 1948- The doctrine of chances probabilistic aspects of gambling Glücksspiel (DE-588)4021329-8 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4021329-8 (DE-588)4064324-4 |
| title | The doctrine of chances probabilistic aspects of gambling |
| title_auth | The doctrine of chances probabilistic aspects of gambling |
| title_exact_search | The doctrine of chances probabilistic aspects of gambling |
| title_full | The doctrine of chances probabilistic aspects of gambling Stewart N. Ethier |
| title_fullStr | The doctrine of chances probabilistic aspects of gambling Stewart N. Ethier |
| title_full_unstemmed | The doctrine of chances probabilistic aspects of gambling Stewart N. Ethier |
| title_short | The doctrine of chances |
| title_sort | the doctrine of chances probabilistic aspects of gambling |
| title_sub | probabilistic aspects of gambling |
| topic | Glücksspiel (DE-588)4021329-8 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Glücksspiel Wahrscheinlichkeitsrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020132295&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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