TY  - BOOK
AU  - Hsu,Hwei P.
TI  - Schaum's Outline of Probability, Random Variables, and Random Processes, Fourth Edition
SN  - 9781260453812
AV  - QA 273.25  .H78 2020
PY  - 2020///]
CY  - New York, N.Y. : 
PB  - McGraw-Hill Education, 
KW  - Probabilities
KW  - Outlines, syllabi, etc
KW  - Random variables
KW  - Stochastic processes
N1  - Kaynakça var; Cover --; Title Page --; Copyright Page --; 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 --; 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 --; 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 --; 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 --; 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 --; 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-Lo?ve Expansions --; 6.7 Fourier Transform of Random Processes --; 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 --; CHAPTER 8 Decision Theory --; 8.1 Introduction --; 8.2 Hypothesis Testing --; 8.3 Decision Tests --; 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 --; 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 --; APPENDIX A Normal Distribution --; APPENDIX B Fourier Transform --; B.1 Continuous-Time Fourier Transform --; B.2 Discrete-Time Fourier Transform --; INDEX; Access to the Contents available at Istanbul Technical University Campus and off-Campus just for the members; Also available in print edition; Electronic reproduction.; New York, N.Y. :; McGraw Hill,; 2020.; Mode of access: World Wide Web.; System requirements: Web browser.; Access may be restricted to users at subscribing institutions
ER  -