Probability, random variables, and stochastic processes:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
McGraw-Hill
2002
|
| Edition: | 4. ed., internat. ed. |
| Series: | McGraw-Hill series in electrical and computer engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 852 S. graph. Darst. |
| ISBN: | 9780072817256 9780071199810 9780071226615 0073660116 0071122567 0071008705 0071226613 |
Staff View
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| 245 | 1 | 0 | |a Probability, random variables, and stochastic processes |c Athanasios Papoulis ; S. Unnikrishna Pillai |
| 250 | |a 4. ed., internat. ed. | ||
| 264 | 1 | |a Boston [u.a.] |b McGraw-Hill |c 2002 | |
| 300 | |a X, 852 S. |b graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
HTS
EANS,
OR
LUDING,
DISTANCE
OUTSIDE
ATIONAL
PREFACE
IX
PART I PROBABILITY AND RANDOM
VARIABLES
CHAPTER 1 THE MEANING OF PROBABILITY
3
I-I INTRODUCTION / 1-2
THE DEFINITIONS / 1-3 PROBABILITY
AND INDUCTION / 1-4
CAUSALITY VERSUS RANDOMNESS
CHAPTER 2 THE AXIOMS OF PROBABILITY
15
2-I SET THEORY / 2-2 PROBABILITY SPACE
/ 2-3 CONDITIONAL
PROBABILITY / PROBLEMS
CHAPTER 3
REPEATED TRIALS
46
3-I COMBINED EXPERIMENTS
/ 3-2 BERNOULLI
TRIALS / 3-3 BERNOULLI'S THEOREM AND GAMES
OF
CHANCE / PROBLEMS
CHAPTER 4 THE CONCEPT OF A RANDOM VARIABLE
72
4-I INTRODUCTION / 4-2 DISTRIBUTION AND DENSITY
FUNCTIONS / 4-3 SPECIFIC RANDOM
VARIABLES / 4-4 CONDITIONAL
DISTRIBUTIONS / 4-5 ASYMPTOTIC
APPROXIMATIONS FOR BINOMIAL
RANDOM VARIABLE / PROBLEMS
CHAPTER 5 FUNCTIONS OF ONE RANDOM
VARIABLE
123
5-I THE RANDOM VARIABLE
G(X) / 5-2 THE DISTRIBUTION
OF G(X) / 5-3 MEAN AND VARIANCE / 5-4 MOMENTS
/
5-5 CHARACTERISTIC FUNCTIONS
/ PROBLEMS
CHAPTER 6 TWO RANDOM VARIABLES
169
6-I
BIVARIATE DISTRIBUTIONS / 6-2 ONE FUNCTION
OF TWO RANDOM
VARIABLES / 6-3 TWO FUNCTIONS OF TWO RANDOM
VARIABLES / 6-4 JOINT
MOMENTS / 6-5 JOINT CHARACTERISTIC
FUNCTIONS / 6-6 CONDITIONAL DISTRIBUTIONS
/ 6-7 CONDITIONAL
EXPECTED VALUES / PROBLEMS
CHAPTER 7
SEQUENCES OF RANDOM VARIABLES
243
7-1 GENERAL CONCEPTS / 7-2
CONDITIONAL DENSITIES,
CHARACTERISTIC FUNCTIONS, AND
NORMALITY / 7-3 MEAN SQUARE
ESTIMATION / 7-4 STOCHASTIC
CONVERGENCE AND LIMIT
THEOREMS / 7-5 RANDOM NUMBERS:
MEANING AND
GENERATION / PROBLEMS
CHAPTER 8
STATISTICS
303
8-I INTRODUCTION / 8-2 ESTIMATION
/ 8-3 PARAMETER
ESTIMATION / 8-4
HYPOTHESIS TESTING / PROBLEMS
VI
CONTENTS
PART II
CHAPTER 9
STOCHASTIC
PROCESSES
GENERAL CONCEPTS
9-I
DEFINITIONS / 9-2 SYSTEMS WITH STOCHASTIC INPUTS /
9-3 THE POWER SPECTRUM
/ 9-4 DISCRETE-TIME PROCESSES /
APPENDIX 9A CONTINUITY, DIFFERENTIATION, INTEGRATION /
APPENDIX 9B SHIFT OPERATORS AND
STATIONARY
PROCESSES / PROBLEMS
371
373
CHAPTER 10 RANDOM WALKS
AND OTHER APPLICATIONS
435
10-
I RANDOM WALKS / 10-2 POISSON
POINTS AND SHOT
NOISE / 10-3
MODULATION / 10-4 CYCLOSTATIONARY
PROCESSES / 10-5 BANDLIMITED PROCESSES
AND SAMPLING
THEORY / 10-6 DETERMINISTIC SIGNALS IN NOISE / 10-7 BISPECTRA
AND SYSTEM IDENTIFICATION / APPENDIX 10A
THE POISSON SUM
FORMULA / APPENDIX 10B THE
SCHWARZ INEQUALITY / PROBLEMS
CHAPTER 11 SPECTRAL REPRESENTATION
499
I
I-I FACTORIZATION AND INNOVATIONS / 11-2
FINITE-ORDER SYSTEMS
AND
STATE VARIABLES / 11-3 FOURIER SERIES AND KARHUNEN-LOEVE
EXPANSIONS / 11-4 SPECTRAL REPRESENTATION OF RANDOM
PROCESSES / PROBLEMS
SPECTRUM ESTIMATION
12-I ERGODICITY / 12-2 SPECTRUM
ESTIMATION / 12-3 EXTRAPOLATION AND SYSTEM
IDENTIFICATION / 12-4 THE GENERAL CLASS OF EXTRAPOLATING
SPECTRA
AND YOULA'S PARAMETRIZATION / APPENDIX 12A
MINIMUM-PHASE
FUNCTIONS / APPENDIX I 2B ALL-PASS FUNCTIONS / PROBLEMS
MEAN SQUARE
ESTIMATION
13-1 INTRODUCTION / 13-2 PREDICTION / 13-3 FILTERING AND
PREDICTION / 13-4 KALMAN FILTERS / PROBLEMS
ENTROPY
14-I INTRODUCTION / 14-2 BASIC CONCEPTS / 14-3
RANDOM
VARIABLES AND STOCHASTIC PROCESSES / 14-4
THE MAXIMUM
ENTROPY METHOD / 14-5 CODING / 14-6
CHANNEL
CAPACITY / PROBLEMS
CHAPTER 12
CHAPTER
13
CHAPTER 14
523
580
629
CONTENTS
VII
CHAPTER 15 MARKOV
CHAINS
695
15-I
INTRODUCTION / 15-2 HIGHER TRANSITION PROBABILITIES AND
THE
CHAPMAN-KOLMOGOROV EQUATION /
15-3 CLASSIFICATION OF
STATES /
15-4 STATIONARY DISTRIBUTIONS AND
LIMITING
PROBABILITIES / 15-5
TRANSIENT STATES AND ABSORPTION
PROBABILITIES / 15-6 BRANCHING PROCESSES / APPENDIX 15A
MIXED TYPE POPULATION OF CONSTANT SIZE /
APPENDIX I 5B
STRUCTURE
OF PERIODIC CHAINS / PROBLEMS
CHAPTER 16 MARKOV PROCESSES
AND QUEUEING THEORY
773
16-1 INTRODUCTION / 16-2 MARKOV PROCESSES / 16-3 QUEUEING
THEORY / 16-4 NETWORKS
OF QUEUES / PROBLEMS
243
303
371
373
BIBLIOGRAPHY
INDEX
835
837
435
499
523
580
629 |
| any_adam_object | 1 |
| author | Papoulis, Athanasios 1921-2002 Pillai, S. Unnikrishna 1955- |
| author_GND | (DE-588)132599031 (DE-588)132599155 |
| author_facet | Papoulis, Athanasios 1921-2002 Pillai, S. Unnikrishna 1955- |
| author_role | aut aut |
| author_sort | Papoulis, Athanasios 1921-2002 |
| author_variant | a p ap s u p su sup |
| building | Verbundindex |
| bvnumber | BV014295156 |
| classification_rvk | SK 820 SK 840 SK 800 |
| classification_tum | MAT 600f |
| ctrlnum | (OCoLC)318265098 (DE-599)BVBBV014295156 |
| 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 |
| edition | 4. ed., internat. ed. |
| format | Book |
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| id | DE-604.BV014295156 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T04:54:15Z |
| institution | BVB |
| isbn | 9780072817256 9780071199810 9780071226615 0073660116 0071122567 0071008705 0071226613 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009804663 |
| oclc_num | 318265098 |
| open_access_boolean | |
| owner | DE-29T DE-91 DE-BY-TUM DE-1050 DE-703 DE-Aug4 DE-20 DE-M347 DE-706 DE-634 DE-83 DE-B768 DE-11 DE-188 DE-384 DE-523 |
| owner_facet | DE-29T DE-91 DE-BY-TUM DE-1050 DE-703 DE-Aug4 DE-20 DE-M347 DE-706 DE-634 DE-83 DE-B768 DE-11 DE-188 DE-384 DE-523 |
| physical | X, 852 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | McGraw-Hill series in electrical and computer engineering |
| spelling | Papoulis, Athanasios 1921-2002 Verfasser (DE-588)132599031 aut Probability, random variables, and stochastic processes Athanasios Papoulis ; S. Unnikrishna Pillai 4. ed., internat. ed. Boston [u.a.] McGraw-Hill 2002 X, 852 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in electrical and computer engineering Probabilidades Procesos estocásticos Teoría de las probabilidades Stochastik (DE-588)4121729-9 gnd rswk-swf Statistische Nachrichtentheorie (DE-588)4191729-7 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Wirtschaftlichkeitsrechnung (DE-588)4066426-0 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Stochastisches Signal (DE-588)4140374-5 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Wirtschaftlichkeitsrechnung (DE-588)4066426-0 s Zufallsvariable (DE-588)4129514-6 s 1\p DE-604 Stochastik (DE-588)4121729-9 s 2\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 3\p DE-604 Statistische Nachrichtentheorie (DE-588)4191729-7 s 4\p DE-604 Stochastisches Signal (DE-588)4140374-5 s 5\p DE-604 Pillai, S. Unnikrishna 1955- Verfasser (DE-588)132599155 aut Digitalisierung Bibliothek HTW Berlin application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009804663&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Papoulis, Athanasios 1921-2002 Pillai, S. Unnikrishna 1955- Probability, random variables, and stochastic processes Probabilidades Procesos estocásticos Teoría de las probabilidades Stochastik (DE-588)4121729-9 gnd Statistische Nachrichtentheorie (DE-588)4191729-7 gnd Zufallsvariable (DE-588)4129514-6 gnd Wirtschaftlichkeitsrechnung (DE-588)4066426-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches Signal (DE-588)4140374-5 gnd |
| subject_GND | (DE-588)4121729-9 (DE-588)4191729-7 (DE-588)4129514-6 (DE-588)4066426-0 (DE-588)4079013-7 (DE-588)4064324-4 (DE-588)4057630-9 (DE-588)4140374-5 |
| title | Probability, random variables, and stochastic processes |
| title_auth | Probability, random variables, and stochastic processes |
| title_exact_search | Probability, random variables, and stochastic processes |
| title_full | Probability, random variables, and stochastic processes Athanasios Papoulis ; S. Unnikrishna Pillai |
| title_fullStr | Probability, random variables, and stochastic processes Athanasios Papoulis ; S. Unnikrishna Pillai |
| title_full_unstemmed | Probability, random variables, and stochastic processes Athanasios Papoulis ; S. Unnikrishna Pillai |
| title_short | Probability, random variables, and stochastic processes |
| title_sort | probability random variables and stochastic processes |
| topic | Probabilidades Procesos estocásticos Teoría de las probabilidades Stochastik (DE-588)4121729-9 gnd Statistische Nachrichtentheorie (DE-588)4191729-7 gnd Zufallsvariable (DE-588)4129514-6 gnd Wirtschaftlichkeitsrechnung (DE-588)4066426-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches Signal (DE-588)4140374-5 gnd |
| topic_facet | Probabilidades Procesos estocásticos Teoría de las probabilidades Stochastik Statistische Nachrichtentheorie Zufallsvariable Wirtschaftlichkeitsrechnung Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung Stochastischer Prozess Stochastisches Signal |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009804663&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT papoulisathanasios probabilityrandomvariablesandstochasticprocesses AT pillaisunnikrishna probabilityrandomvariablesandstochasticprocesses |