Applied probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2003
|
| Schriftenreihe: | Springer texts in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 285 - 294 |
| Beschreibung: | XII, 300 S. graph. Darst. |
| ISBN: | 0387004254 |
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| 100 | 1 | |a Lange, Kenneth |d 1946- |e Verfasser |0 (DE-588)142260576 |4 aut | |
| 245 | 1 | 0 | |a Applied probability |c Kenneth Lange |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2003 | |
| 300 | |a XII, 300 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer texts in statistics | |
| 500 | |a Literaturverz. S. 285 - 294 | ||
| 650 | 4 | |a Wahrscheinlichkeitsrechnung - Lehrbuch | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Stochastic processes | |
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Datensatz im Suchindex
| _version_ | 1808135583282757632 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
1
BASIC
NOTIONS
OF
PROBABILITY
THEORY
1
1.1
INTRODUCTION
.
1
1.2
PROBABILITY
AND
EXPECTATION
.
1
1.3
CONDITIONAL
PROBABILITY
.
6
1.4
INDEPENDENCE
.
8
1.5
DISTRIBUTIONS,
DENSITIES,
AND
MOMENTS
.
9
1.6
CONVOLUTION
.
12
1.7
RANDOM
VECTORS
.
13
1.8
MULTIVARIATE
NORMAL
RANDOM
VECTORS
.
16
1.9
CONVERGENCE
.
18
1.10
PROBLEMS
.
20
2
CALCULATION
OF
EXPECTATIONS
25
2.1
INTRODUCTION
.
25
2.2
INDICATOR
RANDOM
VARIABLES
AND
SYMMETRY
.
25
2.3
CONDITIONING
.
28
2.4
MOMENT
TRANSFORMS
.
30
2.5
TAIL
PROBABILITY
METHODS
.
36
2.6
MOMENTS
OF
RECIPROCALS
AND
RATIOS
.
38
2.7
REDUCTION
OF
DEGREE
.
40
2.8
SPHERICAL
SURFACE
MEASURE
.
41
2.9
DIRICHLET
DISTRIBUTION
.
44
X
CONTENTS
2.10
PROBLEMS
.
46
3
CONVEXITY,
OPTIMIZATION,
AND
INEQUALITIES
49
3.1
INTRODUCTION
.
49
3.2
CONVEX
FUNCTIONS
.
50
3.3
MINIMIZATION
OF
CONVEX
FUNCTIONS
.
54
3.4
THE
MM
ALGORITHM
.
56
3.5
MOMENT
INEQUALITIES
.
60
3.6
PROBLEMS
.
63
4
COMBINATORICS
67
4.1
INTRODUCTION
.
67
4.2
INCLUSION-EXCLUSION
.
67
4.3
APPLICATIONS
TO
ORDER
STATISTICS
.
72
4.4
STIRLING
NUMBERS
.
74
4.5
APPLICATION
TO
AN
UM
MODEL
.
77
4.6
PIGEONHOLE
PRINCIPLE
.
79
4.7
PROBLEMS
.
81
5
COMBINATORIAL
OPTIMIZATION
85
5.1
INTRODUCTION
.
85
5.2
QUICK
SORT
.
,
.
86
5.3
DATA
COMPRESSION
AND
HUFFMAN
CODING
.
88
5.4
GRAPH
COLORING
.
90
5.5
POINT
SETS
WITH
ONLY
ACUTE
ANGLES
.
94
5.6
SPERNER
'
S
THEOREM
.
95
5.7
SUBADDITIVITY
AND
EXPECTATIONS
.
96
5.8
PROBLEMS
.
99
6
POISSON
PROCESSES
103
6.1
INTRODUCTION
.
103
6.2
THE
POISSON
DISTRIBUTION
.
104
6.3
CHARACTERIZATION
AND
CONSTRUCTION
.
104
6.4
ONE-DIMENSIONAL
PROCESSES
.
107
6.5
TRANSMISSION
TOMOGRAPHY
.
110
6.6
MATHEMATICAL
APPLICATIONS
.
114
6.7
TRANSFORMATIONS
.
116
6.8
MARKING
AND
COLORING
.
117
6.9
CAMPBELL
'
S
MOMENT
FORMULAS
.
119
6.10
PROBLEMS
.
121
7
DISCRETE-TIME
MARKOV
CHAINS
127
7.1
INTRODUCTION
.
127
7.2
DEFINITIONS
AND
ELEMENTARY
THEORY
.
127
7.3
EXAMPLES
.
130
CONTENTS
XI
7.4
COUPLING
.
134
7.5
HITTING
PROBABILITIES
AND
HITTING
TIMES
.
139
7.6
MARKOV
CHAIN
MONTE
CARLO
.
141
7.6.1
THE
HASTINGS-METROPOLIS
ALGORITHM
.
142
7.6.2
GIBBS
SAMPLING
.
143
7.6.3
CONVERGENCE
OF
THE
INDEPENDENCE
SAMPLER
.
144
7.7
SIMULATED
ANNEALING
.
145
7.8
PROBLEMS
.
146
8
CONTINUOUS-TIME
MARKOV
CHAINS
151
8.1
INTRODUCTION
.
151
8.2
FINITE-TIME
TRANSITION
PROBABILITIES
.
151
8.3
DERIVATION
OF
THE
BACKWARD
EQUATIONS
.
153
8.4
EQUILIBRIUM
DISTRIBUTIONS
AND
REVERSIBILITY
.
154
8.5
EXAMPLES
.
157
8.6
CALCULATION
OF
MATRIX
EXPONENTIALS
.
160
8.7
KENDALL
'
S
BIRTH-DEATH-IMMIGRATION
PROCESS
.
162
8.8
SOLUTION
OF
KENDALL
'
S
EQUATION
.
166
8.9
PROBLEMS
.
168
9
BRANDUNG
PROCESSES
175
9.1
INTRODUCTION
.
175
9.2
EXAMPLES
OF
BRANCHING
PROCESSES
.
-.
.
176
9.3
ELEMENTARY
THEORY
.
177
9.4
EXTINCTION
.
179
9.5
IMMIGRATION
.
183
9.6
MULTITYPE
BRANCHING
PROCESSES
.
187
9.7
VIRAL
REPRODUCTION
IN
HIV
.
188
9.8
PROBLEMS
.
191
10
MARTINGALES
199
10.1
INTRODUCTION
.
199
10.2
DEFINITION
AND
EXAMPLES
.
199
10.3
MARTINGALE
CONVERGENCE
.
203
10.4
OPTIONAL
STOPPING
.
206
10.5
LARGE
DEVIATION
BOUNDS
.
210
10.6
PROBLEMS
.
215
11
DIFLFUSION
PROCESSES
219
11.1
INTRODUCTION
.
219
11.2
BASIC
DEFINITIONS
AND
PROPERTIES
.
220
11.3
EXAMPLES
OF
DIFFUSION
PROCESSES
.
222
11.4
PROCESS
MOMENTS
.
229
11.5
FIRST
PASSAGE
PROBLEMS
.
231
11.6
EQUILIBRIUM
DISTRIBUTION
.
235
XII
CONTENTS
11.7
A
NUMERICAL
METHOD
FOR
DIFFUSION
PROCESSES
.
238
11.8
APPLICATION
TO
THE
WRIGHT-FISHER
PROCESS
.
242
11.9
PROBLEMS
.
244
12
POISSON
APPROXIMATION
249
12.1
INTRODUCTION
.
249
12.2
APPLICATIONS
OF
THE
COUPLING
METHOD
.
250
12.3
APPLICATIONS
OF
THE
NEIGHBORHOOD
METHOD
.
254
12.4
PROOF
OF
THE
CHEN-STEIN
ESTIMATES
.
257
12.5
PROBLEMS
.
262
13
NUMBER
THEORY
267
13.1
INTRODUCTION
.
267
13.2
ZIPF
'
S
DISTRIBUTION
AND
EULER
'
S
THEOREM
.
268
13.3
DIRICHLET
PRODUCTS
AND
MOEBIUS
INVERSION
.
272
13.4
AVERAGES
OF
ARITHMETIC
FUNCTIONS
.
276
13.5
THE
PRIME
NUMBER
THEOREM
.
279
13.6
PROBLEMS
.
282
REFERENCES
285
INDEX
295 |
| any_adam_object | 1 |
| author | Lange, Kenneth 1946- |
| author_GND | (DE-588)142260576 |
| author_facet | Lange, Kenneth 1946- |
| author_role | aut |
| author_sort | Lange, Kenneth 1946- |
| author_variant | k l kl |
| building | Verbundindex |
| bvnumber | BV016972710 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273.L2684 2003 |
| callnumber-search | QA273.L2684 2003 |
| callnumber-sort | QA 3273 L2684 42003 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 170 SK 800 SK 820 |
| classification_tum | MAT 600f |
| ctrlnum | (OCoLC)248853750 (DE-599)BVBBV016972710 |
| dewey-full | 519.2 519.221 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 519.2 21 |
| dewey-search | 519.2 519.2 21 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV016972710 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:21:04Z |
| institution | BVB |
| isbn | 0387004254 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010250148 |
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| physical | XII, 300 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer texts in statistics |
| spelling | Lange, Kenneth 1946- Verfasser (DE-588)142260576 aut Applied probability Kenneth Lange New York [u.a.] Springer 2003 XII, 300 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer texts in statistics Literaturverz. S. 285 - 294 Wahrscheinlichkeitsrechnung - Lehrbuch Probabilities Stochastic processes Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Anwendung (DE-588)4196864-5 s 1\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250148&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lange, Kenneth 1946- Applied probability Wahrscheinlichkeitsrechnung - Lehrbuch Probabilities Stochastic processes Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Anwendung (DE-588)4196864-5 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4064324-4 (DE-588)4196864-5 (DE-588)4123623-3 |
| title | Applied probability |
| title_auth | Applied probability |
| title_exact_search | Applied probability |
| title_full | Applied probability Kenneth Lange |
| title_fullStr | Applied probability Kenneth Lange |
| title_full_unstemmed | Applied probability Kenneth Lange |
| title_short | Applied probability |
| title_sort | applied probability |
| topic | Wahrscheinlichkeitsrechnung - Lehrbuch Probabilities Stochastic processes Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Wahrscheinlichkeitsrechnung - Lehrbuch Probabilities Stochastic processes Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung Anwendung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250148&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT langekenneth appliedprobability |