Introduction to probability:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Belmont, Mass.
Athena Scientific
2008
|
| Edition: | 2. ed., 2. print. |
| Series: | Optimization and computation series
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XI, 528 S. graph. Darst. |
| ISBN: | 9781886529236 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV036956700 | ||
| 003 | DE-604 | ||
| 005 | 20200203 | ||
| 007 | t | ||
| 008 | 110114s2008 d||| |||| 00||| eng d | ||
| 020 | |a 9781886529236 |9 978-1-886529-23-6 | ||
| 035 | |a (OCoLC)706968933 | ||
| 035 | |a (DE-599)BVBBV036956700 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-29T |a DE-824 |a DE-945 | ||
| 084 | |a QH 170 |0 (DE-625)141536: |2 rvk | ||
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 100 | 1 | |a Bertsekas, Dimitri P. |d 1942- |e Verfasser |0 (DE-588)171165519 |4 aut | |
| 245 | 1 | 0 | |a Introduction to probability |c Dimitri P. Bertsekas and John N. Tsitsiklis |
| 250 | |a 2. ed., 2. print. | ||
| 264 | 1 | |a Belmont, Mass. |b Athena Scientific |c 2008 | |
| 300 | |a XI, 528 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Optimization and computation series |v 1 | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 0 | 7 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Tsitsiklis, John N. |d 1958- |e Verfasser |0 (DE-588)170583996 |4 aut | |
| 830 | 0 | |a Optimization and computation series |v 1 |w (DE-604)BV035767764 |9 1 | |
| 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=020871658&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020871658 | ||
Record in the Search Index
| _version_ | 1804143679985680384 |
|---|---|
| adam_text | Contents
1. Sample Space
and Probability
..............
p.
1
1-1.
Sets
.............................
p.
3
1.2.
Probabilistic Models
......................
p.
6
1.3.
Conditional Probability
...................
p.
18
1.4.
Total Probability Theorem and
Bayes
Rule
..........
p.
28
1.5.
Independence
........................
p.
34
1.6.
Counting
.........................
p.
44
1.7.
Summary and Discussion
..................
p.
51
Problems
..........................
p.
53
2.
Discrete Random Variables
..............
p.
71
2.1.
Basic Concepts
.......................
p.
72
2.2.
Probability Mass Functions
.................
p.
74
2.3.
Functions of Random Variables
................
p.
80
2.4.
Expectation, Mean, and Variance
...............
p.
81
2.5.
Joint PMFs of Multiple Random Variables
...........
p.
92
2.6.
Conditioning
........................
p.
97
2.7.
Independence
........................
p.
Ю9
2.8.
Summary and Discussion
..................
p.
Ц5
Problems
..........................
p.
119
3.
General Random Variables
..............
p.
139
3.1.
Continuous Random Variables and PDFs
...........
p.
140
3.2.
Cumulative Distribution Functions
..............
p.
148
3.3.
Normal Random Variables
..................
p.
153
3.4.
Joint PDFs of Multiple Random Variables
...........
p.
158
3.5.
Conditioning
.......................
p.
164
3.6.
The Continuous
Bayes
Rule
.................
p.
178
ix
x
Contents
3.7.
Summary and Discussion
..................
p.
182
Problems
..........................
p.
184
4.
Further Topics on Random Variables
..........
p:
201
4.1.
Derived Distributions
....................
p.
202
4.2.
Covariance and Correlation
.................
p.
217
4.3.
Conditional Expectation and Variance Revisited
........
p.
222
4.4.
Transforms
........................
p.
229
4.5.
Sum of a Random Number of Independent Random Variables
. .
p.
240
4.6.
Summary and Discussion
..................
p.
244
Problems
..........................
p.
246
5.
Limit Theorems
....................
p.
263
5.1.
Markov and Chebyshev Inequalities
..............
p.
265
5.2.
The Weak Law of Large Numbers
...............
p.
269
5.3.
Convergence in Probability
..................
p.
271
5.4.
The Central Limit Theorem
.................
p.
273
5.5.
The Strong Law of Large Numbers
..............
p.
280
5.6.
Summary and Discussion
..................
p.
282
Problems
..........................
p.
284
6.
The Bernoulli and
Poisson
Processes
...........
p.
295
6.1.
The Bernoulli Process
....................
p.
297
6.2.
The
Poisson
Process
....................
p.
309
6.3.
Summary and Discussion
..................
p.
324
Problems
..........................
p.
326
7.
Markov Chains
....................
p.
339
7.1.
Discrete-Time Markov Chains
................
p.
340
7.2.
Classification of States
....................
p.
346
7.3.
Steady-State Behavior
....................
p.
352
7.4.
Absorption Probabilities and Expected Time to Absorption
...
p.
362
7.5.
Continuous-Time Markov Chains
...............
p.
369
7.6.
Summary and Discussion
..................
p.
378
Problems
..........................
p.
380
8.
Bayesian Statistical Inference
..............
p.
407
8.1.
Bayesian Inference and the Posterior Distribution
.......
p.
412
8.2.
Point Estimation, Hypothesis Testing, and the MAP Rule
....
p.
420
8.3.
Bayesian Least Mean Squares Estimation
...........
p.
430
8.4.
Bayesian Linear Least Mean Squares Estimation
........
p.
437
Contents xi
8.5.
Summary and Discussion
..................
p.
444
Problems
..........................
p.
446
Classical Statistical Inference
..............
p.
459
9.1.
Classical Parameter Estimation
................
p.
462
9.2.
Linear Regression
......................
p.
477
9.3.
Binary Hypothesis Testing
..................
p.
486
9.4.
Significance Testing
.....................
p.
496
9.5.
Summary and Discussion
..................
p.
505
Problems
..........................
p.
507
Index
........................
p.
521
|
| any_adam_object | 1 |
| author | Bertsekas, Dimitri P. 1942- Tsitsiklis, John N. 1958- |
| author_GND | (DE-588)171165519 (DE-588)170583996 |
| author_facet | Bertsekas, Dimitri P. 1942- Tsitsiklis, John N. 1958- |
| author_role | aut aut |
| author_sort | Bertsekas, Dimitri P. 1942- |
| author_variant | d p b dp dpb j n t jn jnt |
| building | Verbundindex |
| bvnumber | BV036956700 |
| classification_rvk | QH 170 SK 800 |
| ctrlnum | (OCoLC)706968933 (DE-599)BVBBV036956700 |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed., 2. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01621nam a2200385 cb4500</leader><controlfield tag="001">BV036956700</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200203 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">110114s2008 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781886529236</subfield><subfield code="9">978-1-886529-23-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)706968933</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036956700</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-945</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 170</subfield><subfield code="0">(DE-625)141536:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bertsekas, Dimitri P.</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)171165519</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to probability</subfield><subfield code="c">Dimitri P. Bertsekas and John N. Tsitsiklis</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed., 2. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Belmont, Mass.</subfield><subfield code="b">Athena Scientific</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 528 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Optimization and computation series</subfield><subfield code="v">1</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitstheorie</subfield><subfield code="0">(DE-588)4079013-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wahrscheinlichkeitstheorie</subfield><subfield code="0">(DE-588)4079013-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tsitsiklis, John N.</subfield><subfield code="d">1958-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)170583996</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Optimization and computation series</subfield><subfield code="v">1</subfield><subfield code="w">(DE-604)BV035767764</subfield><subfield code="9">1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020871658&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020871658</subfield></datafield></record></collection> |
| id | DE-604.BV036956700 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:51:30Z |
| institution | BVB |
| isbn | 9781886529236 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020871658 |
| oclc_num | 706968933 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-824 DE-945 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-824 DE-945 |
| physical | XI, 528 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Athena Scientific |
| record_format | marc |
| series | Optimization and computation series |
| series2 | Optimization and computation series |
| spelling | Bertsekas, Dimitri P. 1942- Verfasser (DE-588)171165519 aut Introduction to probability Dimitri P. Bertsekas and John N. Tsitsiklis 2. ed., 2. print. Belmont, Mass. Athena Scientific 2008 XI, 528 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Optimization and computation series 1 Hier auch später erschienene, unveränderte Nachdrucke Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 s DE-604 Tsitsiklis, John N. 1958- Verfasser (DE-588)170583996 aut Optimization and computation series 1 (DE-604)BV035767764 1 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020871658&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bertsekas, Dimitri P. 1942- Tsitsiklis, John N. 1958- Introduction to probability Optimization and computation series Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4079013-7 |
| title | Introduction to probability |
| title_auth | Introduction to probability |
| title_exact_search | Introduction to probability |
| title_full | Introduction to probability Dimitri P. Bertsekas and John N. Tsitsiklis |
| title_fullStr | Introduction to probability Dimitri P. Bertsekas and John N. Tsitsiklis |
| title_full_unstemmed | Introduction to probability Dimitri P. Bertsekas and John N. Tsitsiklis |
| title_short | Introduction to probability |
| title_sort | introduction to probability |
| topic | Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Wahrscheinlichkeitstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020871658&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035767764 |
| work_keys_str_mv | AT bertsekasdimitrip introductiontoprobability AT tsitsiklisjohnn introductiontoprobability |