## Bootstrap Methods and Their ApplicationThis book gives a broad and up-to-date coverage of bootstrap methods, with numerous applied examples, developed in a coherent way with the necessary theoretical basis. Applications include stratified data; finite populations; censored and missing data; linear, nonlinear, and smooth regression models; classification; time series and spatial problems. Special features of the book include: extensive discussion of significance tests and confidence intervals; material on various diagnostic methods; and methods for efficient computation, including improved Monte Carlo simulation. Each chapter includes both practical and theoretical exercises. Included with the book is a disk of purpose-written S-Plus programs for implementing the methods described in the text. Computer algorithms are clearly described, and computer code is included on a 3-inch, 1.4M disk for use with IBM computers and compatible machines. Users must have the S-Plus computer application. Author resource page: http://statwww.epfl.ch/davison/BMA/ |

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### Contents

II | ix |

III | 9 |

IV | 13 |

V | 20 |

VI | 25 |

VII | 29 |

VIII | 35 |

IX | 43 |

LV | 288 |

LVI | 305 |

LVII | 313 |

LVIII | 314 |

LIX | 319 |

LX | 324 |

LXII | 325 |

LXIII | 344 |

X | 53 |

XI | 57 |

XII | 58 |

XIII | 64 |

XIV | 68 |

XV | 69 |

XVI | 75 |

XVII | 77 |

XVIII | 80 |

XIX | 86 |

XX | 90 |

XXI | 98 |

XXII | 101 |

XXIII | 111 |

XXIV | 118 |

XXV | 121 |

XXVI | 124 |

XXVII | 129 |

XXVIII | 134 |

XXX | 138 |

XXXI | 154 |

XXXII | 159 |

XXXIII | 173 |

XXXIV | 178 |

XXXV | 181 |

XXXVI | 182 |

XXXVII | 185 |

XXXVIII | 189 |

XXXIX | 191 |

XL | 200 |

XLI | 209 |

XLII | 218 |

XLIII | 221 |

XLIV | 228 |

XLV | 229 |

XLVI | 236 |

XLVII | 241 |

XLVIII | 244 |

XLIX | 245 |

L | 249 |

LI | 254 |

LIII | 255 |

LIV | 271 |

LXIV | 351 |

LXV | 356 |

LXVI | 360 |

LXVII | 372 |

LXVIII | 374 |

LXIX | 376 |

LXX | 383 |

LXXI | 413 |

LXXII | 424 |

LXXIII | 426 |

LXXIV | 430 |

LXXV | 435 |

LXXVI | 436 |

LXXVII | 444 |

LXXVIII | 448 |

LXXIX | 464 |

LXXX | 483 |

LXXXI | 485 |

LXXXII | 492 |

LXXXIII | 497 |

LXXXVI | 498 |

LXXXVII | 505 |

LXXXVIII | 507 |

LXXXIX | 510 |

XC | 512 |

XCI | 514 |

XCII | 517 |

XCIII | 520 |

XCVI | 523 |

XCVII | 529 |

XCVIII | 532 |

XCIX | 534 |

C | 535 |

CI | 538 |

CII | 541 |

CIII | 543 |

CIV | 547 |

CV | 549 |

CVII | 553 |

566 | |

CIX | 570 |

573 | |

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### Common terms and phrases

adjusted Air-conditioning data algorithm apply asymptotic average basic bootstrap block bootstrap estimate bootstrap method bootstrap samples bootstrap statistic bootstrap test calculate censoring City population data coefficients confidence intervals confidence limits confidence region correlation corresponding covariates cross-validation datasets defined delta method denote described discussed double bootstrap empirical influence values equal estimated variance Example fitted model frequencies function(data gamma gives homoscedastic importance resampling independent linear approximation linear model linear regression log likelihood matrix mean squared error model-based resampling nonparametric bootstrap normal approximation null hypothesis null model observed obtained P-value panel of Figure parameter parametric model permutation test Poisson probability Problem Q-Q plot quantiles random sample regression model replacement resampling methods resampling scheme residuals right panel shows saddlepoint approximation Section smoothing standard error standard normal studentized bootstrap Suppose Table test statistic theoretical transformation variance variance approximation variance estimate vector zero