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1 | (49) |
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1 | (1) |
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1.2 Sample Space and Events |
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1 | (1) |
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2 | (4) |
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6 | (3) |
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1.5 Equally Likely Events |
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9 | (1) |
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1.6 Conditional Probability |
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10 | (1) |
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10 | (1) |
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11 | (39) |
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12 | (38) |
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Chapter 2 Random Variables |
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50 | (51) |
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50 | (1) |
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50 | (2) |
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2.3 Distribution Functions |
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52 | (1) |
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2.4 Discrete Random Variables and Probability Mass Functions |
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53 | (1) |
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2.5 Continuous Random Variables and Probability Density Functions |
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54 | (1) |
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54 | (1) |
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2.7 Some Special Distributions |
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55 | (9) |
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2.8 Conditional Distributions |
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64 | (37) |
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65 | (36) |
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Chapter 3 Multiple Random Variables |
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101 | (48) |
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101 | (1) |
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3.2 Bivariate Random Variables |
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101 | (1) |
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3.3 Joint Distribution Functions |
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102 | (1) |
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3.4 Discrete Random Variables---Joint Probability Mass Functions |
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103 | (1) |
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3.5 Continuous Random Variables---Joint Probability Density Functions |
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104 | (1) |
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3.6 Conditional Distributions |
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105 | (1) |
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3.7 Covariance and Correlation Coefficient |
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106 | (1) |
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3.8 Conditional Means and Conditional Variances |
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107 | (1) |
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3.9 W-Variate Random Variables |
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108 | (2) |
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3.10 Special Distributions |
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110 | (39) |
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112 | (37) |
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Chapter 4 Functions of Random Variables, Expectation, Limit Theorems |
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149 | (58) |
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149 | (1) |
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4.2 Functions of One Random Variable |
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149 | (1) |
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4.3 Functions of Two Random Variables |
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150 | (1) |
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4.4 Functions of n Random Variables |
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151 | (1) |
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152 | (2) |
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4.6 Probability Generating Functions |
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154 | (1) |
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4.7 Moment Generating Functions |
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155 | (1) |
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4.8 Characteristic Functions |
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156 | (2) |
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4.9 The Laws of Large Numbers and the Central Limit Theorem |
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158 | (49) |
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159 | (48) |
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Chapter 5 Random Processes |
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207 | (64) |
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207 | (1) |
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207 | (1) |
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5.3 Characterization of Random Processes |
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208 | (1) |
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5.4 Classification of Random Processes |
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209 | (2) |
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5.5 Discrete-Parameter Markov Chains |
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211 | (5) |
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216 | (2) |
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218 | (1) |
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219 | (52) |
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222 | (49) |
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Chapter 6 Analysis and Processing of Random Processes |
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271 | (41) |
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271 | (1) |
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6.2 Continuity, Differentiation, Integration |
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271 | (2) |
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6.3 Power Spectral Densities |
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273 | (2) |
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275 | (1) |
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6.5 Response of Linear Systems to Random Inputs |
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276 | (3) |
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6.6 Fourier Series and Karhunen-Loeve Expansions |
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279 | (1) |
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6.7 Fourier Transform of Random Processes |
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280 | (32) |
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282 | (30) |
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Chapter 7 Estimation Theory |
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312 | (19) |
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312 | (1) |
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312 | (1) |
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7.3 Properties of Point Estimators |
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312 | (1) |
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7.4 Maximum-Likelihood Estimation |
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313 | (1) |
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314 | (1) |
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7.6 Mean Square Estimation |
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314 | (1) |
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7.7 Linear Mean Square Estimation |
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315 | (16) |
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316 | (15) |
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Chapter 8 Decision Theory |
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331 | (18) |
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331 | (1) |
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331 | (1) |
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332 | (17) |
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335 | (14) |
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Chapter 9 Queueing Theory |
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349 | (18) |
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349 | (1) |
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349 | (1) |
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350 | (2) |
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9.4 The M/M/1 Queueing System |
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352 | (1) |
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9.5 The M/M/s Queueing System |
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352 | (1) |
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9.6 The M/M/1/K Queueing System |
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353 | (1) |
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9.7 The M/M/s/K Queueing System |
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354 | (13) |
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355 | (12) |
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Chapter 10 Information Theory |
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367 | (44) |
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367 | (1) |
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10.2 Measure of Information |
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367 | (2) |
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10.3 Discrete Memory less Channels |
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369 | (2) |
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371 | (2) |
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373 | (1) |
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374 | (1) |
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10.7 Additive White Gaussian Noise Channel |
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375 | (1) |
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376 | (2) |
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378 | (35) |
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380 | (33) |
Appendix A Normal Distribution |
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411 | (2) |
Appendix B Fourier Transform |
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413 | (4) |
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B.1 Continuous-Time Fourier Transform |
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413 | (1) |
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B.2 Discrete-Time Fourier Transform |
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414 | (3) |
Index |
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417 | |