40 puzzles and problems in probability and mathematical statistics:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York [u.a.]
Springer
2008
|
| Series: | Problem books in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 124 S. graph. Darst. |
| ISBN: | 9780387735115 0387735119 |
Staff View
MARC
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| 245 | 1 | 0 | |a 40 puzzles and problems in probability and mathematical statistics |c Wolfgang Schwarz |
| 246 | 1 | 3 | |a Forty puzzles and problems in probability and mathematical statistics |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2008 | |
| 300 | |a XII, 124 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Problem books in mathematics | |
| 650 | 4 | |a Probabilités | |
| 650 | 4 | |a Probabilités - Problèmes et exercices | |
| 650 | 4 | |a Statistique mathématique | |
| 650 | 4 | |a Statistique mathématique - Problèmes et exercices | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Mathematical statistics |v Problems, exercises, etc | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Probabilities |v Problems, exercises, etc | |
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Record in the Search Index
| _version_ | 1804136632958320640 |
|---|---|
| adam_text | Contents
0 Notation
and Terminology
................................. 1
1
Problems
.................................................. 3
1.1
To Begin or Not to Begin?
................................ 3
1.2
A Tournament Problem
.................................. 3
1.3
Mean Waiting Time for
1 - 1
vs.
1 - 2..................... 4
1.4
How to Divide up Gains in Interrupted Games
.............. 4
1.5
How Often Do Head and Tail Occur Equally Often?
......... 4
1.6
Sample Size vs. Signal Strength
........................... 5
1.7
Birthday Holidays
....................................... 5
1.8
Random Areas
.......................................... 5
1.9
Maximize Your Gain
..................................... 6
1.10
Maximize Your Gain When
Lossas
Are Possible
............. 6
1.11
The Optimal Level of Supply
............................. 6
1.12
Mixing RVs vs. Mixing Their Distributions
................. 7
1.13
Throwing the Same vs. Different Dice
...................... 8
1.14
Random Ranks
.......................................... 8
1.15
Ups
and Downs
......................................... 9
1.16
Is 2X the Same as
Xi +
X2?
.............................. 9
1.17
How Many Donors Needed?
............................... 10
1.18
Large Gaps
............................................. 10
1.19
Small Gaps
............................................. 11
1.20
Random Powers of Random Variables
...................... 11
1.21
How Many Bugs Are Left?
................................ 11
1.22
ML Estimation with the Geometric Distribution
............. 11
1.23
How Many Twins Are Homozygotic?
....................... 12
1.24
The Lady Tasting Tea
................................... 12
1.25
How to Aggregate Significance Levels
...................... 13
1.26
Approximately How Tall Is the Tallest?
.................... 13
1.27
The Range in Samples of Exponential RVs
.................. 14
1.28
The Median in Samples of Exponential RVs
................. 14
Contents
1.29
Breaking the Record
..................................... 15
1.30
Paradoxical Contribution
................................. 15
1.31
Attracting Mediocrity
.................................... 16
1.32
Discrete Variables with Continuous Error
................... 16
1.33
The High-Resolution and the Black-White View
............. 17
1.34
The Bivariate
Lognormal................................. 18
1.35
The arcsin(1/p) Transform
................................ 18
1.36
Binomial Trials Depending on a Latent Variable
............. 19
1.37
The Delta Technique with One Variable
.................... 19
1.38
The Delta Technique with Two Variables
................... 20
1.39
How Many Trials Produced a Given Maximum?
............. 20
1.40
Waiting for Success
...................................... 21
Hints
...................................................... 23
2.1
To Begin or Not to Begin?
................................ 23
2.2
A Tournament Problem
.................................. 23
2.3
Mean Waiting Time for
1 - 1
vs.
1 - 2..................... 23
2.4
How to Divide up Gains in Interrupted Games
.............. 24
2.5
How Often Do Head and Tail Occur Equally Often?
......... 24
2.6
Sample Size vs. Signal Strength
........................... 24
2.7
Birthday Holidays
....................................... 24
2.8
Random Areas
.......................................... 24
2.9
Maximize Your Gain
..................................... 25
2.10
Maximize Your Gain When Losses Are Possible
............. 25
2.11
The Optimal Level of Supply
............................. 25
2.12
Mixing RVs vs. Mixing Their Distributions
................. 25
2.13
Throwing the Same vs. Different Dice
...................... 26
2.14
Random Ranks
.......................................... 26
2.15
Ups
and Downs
......................................... 26
2.16
Is 2X the Same as Xa
+
X2?
.............................. 27
2.17
How Many Donors Needed?
............................... 27
2.18
Large Gaps
............................................. 27
2.19
Small Gaps
............................................. 27
2.20
Random Powers of Random Variables
...................... 27
2.21
How Many Bugs Are Left?
................................ 28
2.22
ML Estimation with the Geometric Distribution
............. 28
2.23
How Many Twins Are Homozygotic?
....................... 28
2.24
The Lady Tasting Tea
................................... 29
2.25
How to Aggregate Significance Levels
...................... 29
2.26
Approximately How Tall Is the Tallest?
.................... 29
2.27
The Range in Samples of Exponential RVs
.................. 30
2.28
The Median in Samples of Exponential RVs
................. 30
2.29
Breaking the Record
..................................... 30
2.30
Paradoxical Contribution
................................. 31
2.31
Attracting Mediocrity
.................................... 31
Contents
XI
2.32
Discrete
Variables
with Continuous Error
................... 31
2.33
The High-Resolution and the Black-White View
............. 31
2.34
The Bivariate
Lognormal................................. 32
2.35
The arcsin(^/p) Transform
................................ 32
2.36
Binomial Trials Depending on a Latent Variable
............. 32
2.37
The Delta Technique with One Variable
.................... 33
2.38
The Delta Technique with Two Variables
................... 33
2.39
How Many Trials Produced a Given Maximum?
............. 34
2.40
Waiting for Success
...................................... 34
Solutions
.................................................. 35
3.1
To Begin or Not to Begin?
................................ 35
3.2
A Tournament Problem
.................................. 36
3.3
Mean Waiting Time for
1 - 1
vs.
1 - 2..................... 37
3.4
How to Divide up Gains in Interrupted Games
.............. 40
3.5
How Often Do Head and Tail Occur Equally Often?
......... 42
3.6
Sample Size vs. Signal Strength
........................... 45
3.7
Birthday Holidays
...................................... 47
3.8
Random Areas
......................................... 49
3.9
Maximize Your Gain
..................................... 50
3.10
Maximize Your Gain When Losses Are Possible
............. 52
3.11
The Optimal Level of Supply
............................. 54
3.12
Mixing RVs vs. Mixing Their Distributions
................. 56
3.13
Throwing the Same vs. Different Dice
...................... 59
3.14
Random Ranks
.......................................... 61
3.15
Ups
and Downs
......................................... 62
3.16
Is 2X the Same as
Хг
+
X2?
.............................. 63
3.17
How Many Donors Needed?
............................... 64
3.18
Large Gaps
............................................. 66
3.19
Small Gaps
............................................. 67
3.20
Random Powers of Random Variables
...................... 68
3.21
How Many Bugs Are Left?
................................ 70
3.22
ML Estimation with the Geometric Distribution
............. 72
3.23
How Many Twins Are Homozygotic?
....................... 75
3.24
The Lady Tasting Tea
................................... 77
3.25
How to Aggregate Significance Levels
...................... 80
3.26
Approximately How Tall Is the Tallest?
.................... 82
3.27
The Range in Samples of Exponential RVs
.................. 84
3.28
The Median in Samples of Exponential RVs
................. 86
3.29
Breaking the Record
..................................... 87
3.30
Paradoxical Contribution
................................. 90
3.31
Attracting Mediocrity
.................................... 91
3.32
Discrete Variables with Continuous Error
................... 96
3.33
The High-Resolution and the Black-White View
............. 98
3.34
The Bivariate
Lognormal.................................103
XII Contents
3.35
The
агсѕш(^)
Transform
................................106
3.36
Binomial Trials Depending on a Latent Variable
.............108
3.37
The Delta Technique with One Variable
...................110
3.38
The Delta Technique with Two Variables
...................112
3.39
How Many Trials Produced a Given Maximum?
.............115
3.40
Waiting for Success
......................................118
References
.....................................................121
Index
..........................................................123
|
| adam_txt |
Contents
0 Notation
and Terminology
. 1
1
Problems
. 3
1.1
To Begin or Not to Begin?
. 3
1.2
A Tournament Problem
. 3
1.3
Mean Waiting Time for
1 - 1
vs.
1 - 2. 4
1.4
How to Divide up Gains in Interrupted Games
. 4
1.5
How Often Do Head and Tail Occur Equally Often?
. 4
1.6
Sample Size vs. Signal Strength
. 5
1.7
Birthday Holidays
. 5
1.8
Random Areas
. 5
1.9
Maximize Your Gain
. 6
1.10
Maximize Your Gain When
Lossas
Are Possible
. 6
1.11
The Optimal Level of Supply
. 6
1.12
Mixing RVs vs. Mixing Their Distributions
. 7
1.13
Throwing the Same vs. Different Dice
. 8
1.14
Random Ranks
. 8
1.15
Ups
and Downs
. 9
1.16
Is 2X the Same as
Xi +
X2?
. 9
1.17
How Many Donors Needed?
. 10
1.18
Large Gaps
. 10
1.19
Small Gaps
. 11
1.20
Random Powers of Random Variables
. 11
1.21
How Many Bugs Are Left?
. 11
1.22
ML Estimation with the Geometric Distribution
. 11
1.23
How Many Twins Are Homozygotic?
. 12
1.24
The Lady Tasting Tea
. 12
1.25
How to Aggregate Significance Levels
. 13
1.26
Approximately How Tall Is the Tallest?
. 13
1.27
The Range in Samples of Exponential RVs
. 14
1.28
The Median in Samples of Exponential RVs
. 14
Contents
1.29
Breaking the Record
. 15
1.30
Paradoxical Contribution
. 15
1.31
Attracting Mediocrity
. 16
1.32
Discrete Variables with Continuous Error
. 16
1.33
The High-Resolution and the Black-White View
. 17
1.34
The Bivariate
Lognormal. 18
1.35
The arcsin(1/p) Transform
. 18
1.36
Binomial Trials Depending on a Latent Variable
. 19
1.37
The Delta Technique with One Variable
. 19
1.38
The Delta Technique with Two Variables
. 20
1.39
How Many Trials Produced a Given Maximum?
. 20
1.40
Waiting for Success
. 21
Hints
. 23
2.1
To Begin or Not to Begin?
. 23
2.2
A Tournament Problem
. 23
2.3
Mean Waiting Time for
1 - 1
vs.
1 - 2. 23
2.4
How to Divide up Gains in Interrupted Games
. 24
2.5
How Often Do Head and Tail Occur Equally Often?
. 24
2.6
Sample Size vs. Signal Strength
. 24
2.7
Birthday Holidays
. 24
2.8
Random Areas
. 24
2.9
Maximize Your Gain
. 25
2.10
Maximize Your Gain When Losses Are Possible
. 25
2.11
The Optimal Level of Supply
. 25
2.12
Mixing RVs vs. Mixing Their Distributions
. 25
2.13
Throwing the Same vs. Different Dice
. 26
2.14
Random Ranks
. 26
2.15
Ups
and Downs
. 26
2.16
Is 2X the Same as Xa
+
X2?
. 27
2.17
How Many Donors Needed?
. 27
2.18
Large Gaps
. 27
2.19
Small Gaps
. 27
2.20
Random Powers of Random Variables
. 27
2.21
How Many Bugs Are Left?
. 28
2.22
ML Estimation with the Geometric Distribution
. 28
2.23
How Many Twins Are Homozygotic?
. 28
2.24
The Lady Tasting Tea
. 29
2.25
How to Aggregate Significance Levels
. 29
2.26
Approximately How Tall Is the Tallest?
. 29
2.27
The Range in Samples of Exponential RVs
. 30
2.28
The Median in Samples of Exponential RVs
. 30
2.29
Breaking the Record
. 30
2.30
Paradoxical Contribution
. 31
2.31
Attracting Mediocrity
. 31
Contents
XI
2.32
Discrete
Variables
with Continuous Error
. 31
2.33
The High-Resolution and the Black-White View
. 31
2.34
The Bivariate
Lognormal. 32
2.35
The arcsin(^/p) Transform
. 32
2.36
Binomial Trials Depending on a Latent Variable
. 32
2.37
The Delta Technique with One Variable
. 33
2.38
The Delta Technique with Two Variables
. 33
2.39
How Many Trials Produced a Given Maximum?
. 34
2.40
Waiting for Success
. 34
Solutions
. 35
3.1
To Begin or Not to Begin?
. 35
3.2
A Tournament Problem
. 36
3.3
Mean Waiting Time for
1 - 1
vs.
1 - 2. 37
3.4
How to Divide up Gains in Interrupted Games
. 40
3.5
How Often Do Head and Tail Occur Equally Often?
. 42
3.6
Sample Size vs. Signal Strength
. 45
3.7
Birthday Holidays
. 47
3.8
Random Areas
. 49
3.9
Maximize Your Gain
. 50
3.10
Maximize Your Gain When Losses Are Possible
. 52
3.11
The Optimal Level of Supply
. 54
3.12
Mixing RVs vs. Mixing Their Distributions
. 56
3.13
Throwing the Same vs. Different Dice
. 59
3.14
Random Ranks
. 61
3.15
Ups
and Downs
. 62
3.16
Is 2X the Same as
Хг
+
X2?
. 63
3.17
How Many Donors Needed?
. 64
3.18
Large Gaps
. 66
3.19
Small Gaps
. 67
3.20
Random Powers of Random Variables
. 68
3.21
How Many Bugs Are Left?
. 70
3.22
ML Estimation with the Geometric Distribution
. 72
3.23
How Many Twins Are Homozygotic?
. 75
3.24
The Lady Tasting Tea
. 77
3.25
How to Aggregate Significance Levels
. 80
3.26
Approximately How Tall Is the Tallest?
. 82
3.27
The Range in Samples of Exponential RVs
. 84
3.28
The Median in Samples of Exponential RVs
. 86
3.29
Breaking the Record
. 87
3.30
Paradoxical Contribution
. 90
3.31
Attracting Mediocrity
. 91
3.32
Discrete Variables with Continuous Error
. 96
3.33
The High-Resolution and the Black-White View
. 98
3.34
The Bivariate
Lognormal.103
XII Contents
3.35
The
агсѕш(^)
Transform
.106
3.36
Binomial Trials Depending on a Latent Variable
.108
3.37
The Delta Technique with One Variable
.110
3.38
The Delta Technique with Two Variables
.112
3.39
How Many Trials Produced a Given Maximum?
.115
3.40
Waiting for Success
.118
References
.121
Index
.123 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author_GND | (DE-588)134013158 |
| building | Verbundindex |
| bvnumber | BV022525254 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273 |
| callnumber-search | QA273 |
| callnumber-sort | QA 3273 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 170 SK 800 |
| ctrlnum | (OCoLC)163616598 (DE-599)DNB984787828 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| genre | (DE-588)4143389-0 Aufgabensammlung gnd-content |
| genre_facet | Aufgabensammlung |
| id | DE-604.BV022525254 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:04:41Z |
| indexdate | 2024-07-09T20:59:30Z |
| institution | BVB |
| isbn | 9780387735115 0387735119 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015731944 |
| oclc_num | 163616598 |
| open_access_boolean | |
| owner | DE-824 DE-898 DE-BY-UBR DE-20 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-11 |
| owner_facet | DE-824 DE-898 DE-BY-UBR DE-20 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-11 |
| physical | XII, 124 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series2 | Problem books in mathematics |
| spelling | 40 puzzles and problems in probability and mathematical statistics Wolfgang Schwarz Forty puzzles and problems in probability and mathematical statistics New York [u.a.] Springer 2008 XII, 124 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Problem books in mathematics Probabilités Probabilités - Problèmes et exercices Statistique mathématique Statistique mathématique - Problèmes et exercices Mathematical statistics Mathematical statistics Problems, exercises, etc Probabilities Probabilities Problems, exercises, etc Problem (DE-588)4175771-3 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Statistik (DE-588)4056995-0 s Problem (DE-588)4175771-3 s DE-604 Stochastik (DE-588)4121729-9 s Mathematisches Problem (DE-588)4114530-6 s 1\p DE-604 Schwarz, Wolfgang Sonstige (DE-588)134013158 oth Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015731944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | 40 puzzles and problems in probability and mathematical statistics Probabilités Probabilités - Problèmes et exercices Statistique mathématique Statistique mathématique - Problèmes et exercices Mathematical statistics Mathematical statistics Problems, exercises, etc Probabilities Probabilities Problems, exercises, etc Problem (DE-588)4175771-3 gnd Statistik (DE-588)4056995-0 gnd Stochastik (DE-588)4121729-9 gnd Mathematisches Problem (DE-588)4114530-6 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4175771-3 (DE-588)4056995-0 (DE-588)4121729-9 (DE-588)4114530-6 (DE-588)4064324-4 (DE-588)4143389-0 |
| title | 40 puzzles and problems in probability and mathematical statistics |
| title_alt | Forty puzzles and problems in probability and mathematical statistics |
| title_auth | 40 puzzles and problems in probability and mathematical statistics |
| title_exact_search | 40 puzzles and problems in probability and mathematical statistics |
| title_exact_search_txtP | 40 puzzles and problems in probability and mathematical statistics |
| title_full | 40 puzzles and problems in probability and mathematical statistics Wolfgang Schwarz |
| title_fullStr | 40 puzzles and problems in probability and mathematical statistics Wolfgang Schwarz |
| title_full_unstemmed | 40 puzzles and problems in probability and mathematical statistics Wolfgang Schwarz |
| title_short | 40 puzzles and problems in probability and mathematical statistics |
| title_sort | 40 puzzles and problems in probability and mathematical statistics |
| topic | Probabilités Probabilités - Problèmes et exercices Statistique mathématique Statistique mathématique - Problèmes et exercices Mathematical statistics Mathematical statistics Problems, exercises, etc Probabilities Probabilities Problems, exercises, etc Problem (DE-588)4175771-3 gnd Statistik (DE-588)4056995-0 gnd Stochastik (DE-588)4121729-9 gnd Mathematisches Problem (DE-588)4114530-6 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Probabilités Probabilités - Problèmes et exercices Statistique mathématique Statistique mathématique - Problèmes et exercices Mathematical statistics Mathematical statistics Problems, exercises, etc Probabilities Probabilities Problems, exercises, etc Problem Statistik Stochastik Mathematisches Problem Wahrscheinlichkeitsrechnung Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015731944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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