| Preface |
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v | |
| Mathematics and Chance |
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1 | (4) |
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5 | (180) |
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Principles of Modelling Chance |
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7 | (19) |
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7 | (7) |
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Properties and Construction of Probability Measures |
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14 | (5) |
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19 | (7) |
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23 | (3) |
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Stochastic Standard Models |
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26 | (24) |
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The Uniform Distributions |
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26 | (3) |
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Urn Models with Replacement |
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29 | (5) |
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Urn Models without Replacement |
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34 | (3) |
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37 | (2) |
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Waiting Time Distributions |
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39 | (5) |
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44 | (6) |
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46 | (4) |
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Conditional Probabilities and Independence |
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50 | (40) |
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Conditional Probabilities |
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50 | (6) |
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56 | (7) |
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63 | (6) |
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Existence of Independent Random Variables, Product Measures |
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69 | (4) |
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73 | (5) |
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78 | (4) |
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82 | (8) |
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84 | (6) |
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90 | (27) |
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90 | (8) |
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Waiting Time Paradox and Fair Price of an Option |
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98 | (7) |
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105 | (3) |
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108 | (9) |
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112 | (5) |
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The Law of Large Numbers and the Central Limit Theorem |
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117 | (32) |
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117 | (12) |
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Normal Approximation of Binomial Distributions |
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129 | (7) |
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The Central Limit theorem |
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136 | (5) |
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Normal verus Poisson Approximation |
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141 | (8) |
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143 | (6) |
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149 | (36) |
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149 | (3) |
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152 | (5) |
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157 | (12) |
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169 | (16) |
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177 | (8) |
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185 | (164) |
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187 | (35) |
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The Approach of Statistics |
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187 | (4) |
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191 | (4) |
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The Maximum Likelihood Principle |
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195 | (6) |
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Bias and Mean Squared Error |
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201 | (2) |
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203 | (6) |
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209 | (4) |
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213 | (9) |
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217 | (5) |
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222 | (19) |
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Definition and Construction |
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222 | (6) |
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Confidence Intervals in the Binomial Model |
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228 | (6) |
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234 | (7) |
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238 | (3) |
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Around the Noraml Distributions |
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241 | (14) |
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The Multivariate Normal Distributions |
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241 | (3) |
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The Χ2-, F-and t-Distributions |
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244 | (11) |
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251 | (4) |
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255 | (28) |
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255 | (6) |
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261 | (5) |
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Most Powerful One-Sided Tests |
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266 | (3) |
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Parameter Tests in the Gaussian Product Model |
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269 | (14) |
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278 | (5) |
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Asymptotic Tests and Rank Tests |
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283 | (35) |
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Normal Approximation of Multinomial Distributions |
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283 | (7) |
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The Chi-Square Test of Goodness of Fit |
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290 | (7) |
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The Chi-Square Test of Independence |
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297 | (6) |
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303 | (15) |
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313 | (5) |
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Regression Models and Analysis of Variance |
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318 | (31) |
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318 | (4) |
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322 | (4) |
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The Gaussian Linear Model |
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326 | (8) |
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334 | (15) |
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342 | (7) |
| Tables |
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349 | (6) |
| References |
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355 | (4) |
| List of Notation |
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359 | (4) |
| Index |
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363 | |
Lisainfo e-raamatute kohta