Preface |
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xi | |
Acknowledgments |
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xiii | |
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Chapter 1 Fractal Time Series |
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3 | (26) |
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3 | (1) |
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1.2 Fractal Time Series: A View From Fractional Systems |
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4 | (4) |
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1.3 Basic Properties Of Fractal Time Series |
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8 | (3) |
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1.4 Some Models Of Fractal Time Series |
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11 | (12) |
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23 | (6) |
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24 | (5) |
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29 | (24) |
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29 | (1) |
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30 | (4) |
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2.3 Hyperbolically Decayed Acfs And 1/F Noise |
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34 | (3) |
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2.4 Heavy-Tailed Pdfs And 1/F Noise |
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37 | (3) |
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2.5 Fractionally Generalized Langevin Equation And 1/F Noise |
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40 | (3) |
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43 | (10) |
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43 | (10) |
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Chapter 3 Power Laws of Fractal Data in Cyber-Physical Networking Systems |
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53 | (14) |
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53 | (2) |
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55 | (3) |
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3.3 Cases Of Power Laws In Cpns |
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58 | (3) |
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3.4 Some Equations For Power-Law-Type Data |
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61 | (1) |
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62 | (5) |
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62 | (5) |
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Chapter 4 Ergodicity of Long-Range-Dependent Traffic |
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67 | (16) |
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67 | (1) |
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68 | (4) |
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72 | (1) |
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73 | (6) |
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4.5 Discussions And Summary |
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79 | (4) |
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80 | (3) |
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Chapter 5 Predictability of Long-Range-Dependent Series |
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83 | (12) |
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83 | (1) |
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84 | (2) |
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5.3 Predictability Of Lrd Series |
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86 | (2) |
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88 | (7) |
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88 | (7) |
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Part II Traffic Modeling and Traffic Data Processing |
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Chapter 6 Long-Range Dependence and Self-Similarity of Daily Traffic with Different Protocols |
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95 | (22) |
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95 | (3) |
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98 | (1) |
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6.3 Preliminaries: Brief Of Generalized Cauchy Process |
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99 | (2) |
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101 | (9) |
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110 | (1) |
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111 | (6) |
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111 | (6) |
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Chapter 7 Stationarity Test of Traffic |
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117 | (20) |
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117 | (2) |
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7.2 Correlation Method For Stationarity Test Of Lrd Traffic |
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119 | (1) |
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120 | (7) |
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127 | (7) |
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134 | (3) |
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134 | (3) |
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Chapter 8 Record Length Requirement of LRD Traffic |
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137 | (36) |
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8.1 Background And Problem Statements |
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137 | (4) |
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141 | (6) |
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8.3 Practical Considerations |
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147 | (4) |
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151 | (8) |
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159 | (2) |
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161 | (12) |
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162 | (11) |
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Part III Multi-fractal Models of Traffic |
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Chapter 9 Multi-Fractional Generalized Cauchy Process and Its Application to Traffic |
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173 | (20) |
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173 | (3) |
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176 | (3) |
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9.3 PSD Of The MGC Process |
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179 | (2) |
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9.4 Computations Of D(T) And H(T) |
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181 | (1) |
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182 | (6) |
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188 | (1) |
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189 | (4) |
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189 | (4) |
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Chapter 10 Modified Multi-fractional Gaussian Noise and Its Application to Traffic |
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193 | (20) |
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193 | (4) |
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10.2 Modified Multi-Fractional Guassian Noise |
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197 | (5) |
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10.3 On Stationarity Of MMFGN |
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202 | (3) |
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10.4 Application To Stationarity Test Of Traffic |
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205 | (2) |
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207 | (6) |
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208 | (5) |
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Chapter 11 Traffic Simulation |
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213 | (26) |
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213 | (1) |
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11.2 Simulations Based On Given PDF/PSD/ACF |
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214 | (5) |
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11.3 Generation Of LRD Traffic Of GC Type |
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219 | (10) |
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229 | (3) |
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232 | (7) |
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232 | (7) |
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Part IV Anomaly Detection of Traffic |
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Chapter 12 Reliably Identifying Signs of DDOS Flood Attacks Based on Traffic Pattern Recognition |
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239 | (14) |
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240 | (1) |
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241 | (3) |
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12.3 Identification Decision |
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244 | (5) |
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249 | (2) |
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12.5 Discussions and Summary |
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251 | (2) |
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251 | (2) |
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Chapter 13 Change Trend of Hurst Parameter of Multi-Scale Traffic under DDOS Flood Attacks |
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253 | (10) |
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253 | (2) |
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255 | (1) |
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13.3 Brief Of Data Traffic |
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255 | (2) |
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13.4 Using H To Describe Abnormality Of Traffic Under Ddos Flood Attacks |
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257 | (1) |
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258 | (2) |
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260 | (3) |
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260 | (3) |
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263 | (2) |
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14.1 Local Versus Global Of Fractal Traffic |
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263 | (1) |
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14.2 Stationarity Versus Multi-Fractal Property Of Traffic |
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264 | (1) |
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264 | (1) |
References |
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265 | (2) |
Appendix |
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267 | (14) |
Index |
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281 | |