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Schaum's Outline of Probability, Random Variables, and Random Processes, Fourth Edition

Medium: Buch
ISBN: 978-1-260-45381-2
Verlag: McGraw Hill
Erscheinungstermin: 16.10.2019
Lieferfrist: bis zu 10 Tage

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product.Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately, there’s Schaum’s. More than 40 million students have trusted Schaum’s to help them succeed in the classroom and on exams. Schaum’s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. Schaum’s Outline of Probability, Random Variables, and Random Processes, Fourth Edition is packed with hundreds of examples, solved problems, and practice exercises to test your skills. This updated guide approaches the subject in a more concise, ordered manner than most standard texts, which are often filled with extraneous material. Schaum’s Outline of Probability, Random Variables, and Random Processes, Fourth Edition features: • 405 fully-solved problems

• 22 problem-solving videos
• An accessible review of probability and statistics concepts
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• Content supplements the major leading textbooks in probability and statistics
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Produkteigenschaften


  • Artikelnummer: 9781260453812
  • Medium: Buch
  • ISBN: 978-1-260-45381-2
  • Verlag: McGraw Hill
  • Erscheinungstermin: 16.10.2019
  • Sprache(n): Englisch
  • Auflage: 4. Auflage 2019
  • Produktform: Kartoniert
  • Gewicht: 1060 g
  • Seiten: 436
  • Format (B x H x T): 210 x 280 x 23 mm
  • Ausgabetyp: Kein, Unbekannt
  • Vorauflage: 978-0-07-182298-5
Autoren/Hrsg.

Autoren

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide.

Preface to The Second Edition

Preface to The First Edition

Contents

CHAPTER 1 Probability

1.1 Introduction

1.2 Sample Space and Events

1.3 Algebra of Sets

1.4 Probability Space

1.5 Equally Likely Events

1.6 Conditional Probability

1.7 Total Probability

1.8 Independent Events

Solved Problems

CHAPTER 2 Random Variables

2.1 Introduction

2.2 Random Variables

2.3 Distribution Functions

2.4 Discrete Random Variables and Probability Mass Functions

2.5 Continuous Random Variables and Probability Density Functions

2.6 Mean and Variance

2.7 Some Special Distributions

2.8 Conditional Distributions

Solved Problems

CHAPTER 3 Multiple Random Variables

3.1 Introduction

3.2 Bivariate Random Variables

3.3 Joint Distribution Functions

3.4 Discrete Random Variables—Joint Probability Mass Functions

3.5 Continuous Random Variables—Joint Probability Density Functions

3.6 Conditional Distributions

3.7 Covariance and Correlation Coefficient

3.8 Conditional Means and Conditional Variances

3.9 N-Variate Random Variables

3.10 Special Distributions

Solved Problems

CHAPTER 4 Functions of Random Variables, Expectation, Limit Theorems

4.1 Introduction

4.2 Functions of One Random Variable

4.3 Functions of Two Random Variables

4.4 Functions of n Random Variables

4.5 Expectation

4.6 Probability Generating Functions

4.7 Moment Generating Functions

4.8 Characteristic Functions

4.9 The Laws of Large Numbers and the Central Limit Theorem

Solved Problems

CHAPTER 5 Random Processes

5.1 Introduction

5.2 Random Processes

5.3 Characterization of Random Processes

5.4 Classification of Random Processes

5.5 Discrete-Parameter Markov Chains

5.6 Poisson Processes

5.7 Wiener Processes

5.8 Martingales

Solved Problems

CHAPTER 6 Analysis and Processing of Random Processes

6.1 Introduction

6.2 Continuity, Differentiation, Integration

6.3 Power Spectral Densities

6.4 White Noise

6.5 Response of Linear Systems to Random Inputs

6.6 Fourier Series and Karhunen-Loéve Expansions

6.7 Fourier Transform of Random Processes

Solved Problems

CHAPTER 7 Estimation Theory

7.1 Introduction

7.2 Parameter Estimation

7.3 Properties of Point Estimators

7.4 Maximum-Likelihood Estimation

7.5 Bayes’ Estimation

7.6 Mean Square Estimation

7.7 Linear Mean Square Estimation

Solved Problems

CHAPTER 8 Decision Theory

8.1 Introduction

8.2 Hypothesis Testing

8.3 Decision Tests

Solved Problems

CHAPTER 9 Queueing Theory

9.1 Introduction

9.2 Queueing Systems

9.3 Birth-Death Process

9.4 The M/M/1 Queueing System

9.5 The M/M/s Queueing System

9.6 The M/M/1/K Queueing System

9.7 The M/M/s/K Queueing System

Solved Problems

CHAPTER 10 Information Theory

10.1 Introduction

10.2 Measure of Information

10.3 Discrete Memoryless Channels

10.4 Mutual Information

10.5 Channel Capacity

10.6 Continuous Channel

10.7 Additive White Gaussian Noise Channel

10.8 Source Coding

10.9 Entropy Coding

Solved Problems

APPENDIX A Normal Distribution

APPENDIX B Fourier Transform

B.1 Continuous-Time Fourier Transform

B.2 Discrete-Time Fourier Transform

INDEX