Preface to the Second Edition |
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vii | |
Preface to the First Edition |
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ix | |
1 Preliminaries |
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1 | (6) |
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1 | (1) |
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2 | (1) |
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1.3 Underlying Models and Methodology |
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3 | (4) |
2 Univariate Normal Model |
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7 | (82) |
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8 | (27) |
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9 | (11) |
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20 | (4) |
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2.1.3 Application to Biomedical Data |
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24 | (11) |
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35 | (22) |
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2.2.1 Likelihood-Ratio Procedure |
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35 | (11) |
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2.2.2 Informational Approach |
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46 | (6) |
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52 | (3) |
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2.2.4 Application to Stock Market Data |
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55 | (2) |
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2.3 Mean and Variance Change |
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57 | (32) |
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2.3.1 Likelihood-Ratio Procedure |
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58 | (20) |
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2.3.2 Informational Approach |
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78 | (6) |
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2.3.3 Application to Biomedical Data |
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84 | (5) |
3 Multivariate Normal Model |
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89 | (50) |
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89 | (10) |
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3.1.1 Likelihood-Ratio Procedure |
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90 | (4) |
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3.1.2 Informational Approach |
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94 | (1) |
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3.1.3 Applications to Geology and Literature Data |
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95 | (4) |
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99 | (20) |
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3.2.1 Likelihood-Ratio Procedure |
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100 | (9) |
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3.2.2 Informational Approach |
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109 | (6) |
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3.2.3 Application to Multivariate Stock Market Data |
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115 | (4) |
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3.3 Mean Vector and Covariance Change |
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119 | (20) |
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3.3.1 Likelihood-Ratio Procedure |
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120 | (9) |
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3.3.2 Informational Approach |
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129 | (6) |
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135 | (4) |
4 Regression Models |
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139 | (16) |
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139 | (1) |
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4.2 Simple Linear Regression Model |
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140 | (9) |
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4.2.1 Informational Approach |
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140 | (3) |
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143 | (4) |
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4.2.3 Application to Stock Market Data |
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147 | (2) |
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4.3 Multiple Linear Regression Model |
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149 | (6) |
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4.3.1 Informational Approach |
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149 | (3) |
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152 | (3) |
5 Gamma Model |
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155 | (18) |
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155 | (1) |
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156 | (8) |
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5.3 Informational Approach |
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164 | (2) |
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166 | (3) |
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5.5 Application to Stock Market and Air Traffic Data |
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169 | (1) |
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5.6 Another Type of Change |
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170 | (3) |
6 Exponential Model |
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173 | (16) |
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173 | (1) |
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6.2 Likelihood-Ratio Procedure |
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173 | (7) |
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6.3 An Alternate Approach |
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180 | (5) |
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6.4 Informational Approach |
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185 | (1) |
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6.5 Application to Air Traffic Data |
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186 | (3) |
7 Change Point Model for Hazard Function |
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189 | (10) |
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189 | (1) |
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7.2 The Bayesian Approach |
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190 | (4) |
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7.3 The Informational Approach |
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194 | (3) |
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197 | (2) |
8 Discrete Models |
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199 | (16) |
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199 | (1) |
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199 | (8) |
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8.2.1 Likelihood-Ratio Procedure |
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199 | (3) |
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8.2.2 Cumulative Sum Test (CUSUM) |
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202 | (1) |
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8.2.3 Null Distributions of L and Q |
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202 | (2) |
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8.2.4 Alternative Distribution Functions of L and Q |
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204 | (3) |
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207 | (3) |
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8.3.1 Likelihood-Ratio Procedure |
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207 | (2) |
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8.3.2 Null Distribution of L |
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209 | (1) |
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8.4 Informational Approach |
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210 | (3) |
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8.5 Application to Medical Data |
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213 | (2) |
9 Other Change Point Models |
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215 | (42) |
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9.1 The Smooth-and-Abrupt Change Point Model |
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215 | (5) |
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215 | (2) |
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9.1.2 A Bayesian Solution to the SACP Model |
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217 | (3) |
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9.1.3 Empirical Evaluation of the Change Point Location Estimates |
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220 | (1) |
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9.2 Application of SACP Model to Gene Expression Data |
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220 | (1) |
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9.3 The Epidemic Change Point Model for Exponential Distribution |
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221 | (12) |
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9.3.1 A Likelihood-Ratio-Based Statistic T |
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223 | (6) |
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9.3.2 Likelihood-Ratio Test Statistic |
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229 | (3) |
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9.3.3 Power Comparisons of the Four Tests |
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232 | (1) |
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9.4 The Epidemic Change Point Model for the Exponential Family |
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233 | (24) |
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9.4.1 Derivation of the LRT Statistic |
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234 | (3) |
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9.4.2 Asymptotic Null Distribution of the Statistic Qn |
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237 | (2) |
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9.4.3 Asymptotic Behavior of the MLEs of the Change Points |
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239 | (7) |
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9.4.4 Asymptotic Nonnull Distribution of Qn |
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246 | (11) |
Bibliography |
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257 | (10) |
Author Index |
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267 | (4) |
Subject Index |
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271 | |