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1.1 ! root 1: 8 smoothing ! 2: what is a smoother? ! 3: 16 smoother ! 4: 18 nonparametric nature ! 5: rigid form ! 6: 21 parametric regression ! 7: 24 running mean ! 8: moving average ! 9: 33 smoothing ! 10: smoothing ! 11: 42 fitted smooth ! 12: 50 smooth ! 13: 56 smoothing ! 14: single predictor ! 15: scatterplot smoothing ! 16: 62 scatterplot smoother ! 17: 67 scatterplot smoother ! 18: 69 scatterplot smooth ! 19: 70 building block ! 20: 76 scatterplot smoother ! 21: 78 categorical ! 22: 83 scatterplot smooth ! 23: 85 smoothing ! 24: smoothing ! 25: 91 local averaging ! 26: target value ! 27: 96 neighbourhoods around ! 28: target value ! 29: 97 scatterplot smoothing ! 30: 109 smoothing parameter ! 31: 112 three interior knots ! 32: 112 smoothing parameter ! 33: 113 brand ! 34: 132 smoothing parameter ! 35: 137 fundamental tradeoff between bias and variance ! 36: smoothing parameter ! 37: 141 smoothing parameter ! 38: 146 fitted smooth ! 39: 151 robustified ! 40: 154 bibliographic notes ! 41: 158 scatterplot smoothing: definition ! 42: scatterplot smoothing ! 43: 183 scatterplot smooth ! 44: 190 parametric regression ! 45: 195 rigid form ! 46: 202 infinitely smooth ! 47: scatterplot smoother ! 48: 214 parametric fitting ! 49: scatterplot smoothing ! 50: 218 regression splines ! 51: parametric fitting ! 52: 220 bin smoother ! 53: bin smoother ! 54: 226 data points ! 55: 245 running-mean and running-lines smoothers ! 56: target value ! 57: 251 close ! 58: 256 symmetric nearest neighbourhood ! 59: 259 running mean ! 60: 265 symmetric nearest neighbourhood ! 61: 267 symmetric nearest neighbours ! 62: target point ! 63: 272 nearest neighbourhood ! 64: 280 symmetric nearest neighbourhood ! 65: 281 target point ! 66: 281 target point ! 67: running mean ! 68: 281 running mean ! 69: 282 moving average ! 70: 293 running mean ! 71: 295 running mean ! 72: least-squares line ! 73: 298 data points ! 74: 310 running-lines smooth ! 75: 313 running-lines smooth ! 76: 322 running-lines smooth ! 77: least-squares line ! 78: 328 running-lines smoother ! 79: 332 building block ! 80: 334 smoothing ! 81: 335 running-lines smooth ! 82: weighted least-squares ! 83: 341 running-lines smoother ! 84: 350 locally-weighted running-lines ! 85: loess ! 86: 353 unweighted running-lines smoother ! 87: 354 running-lines smoother ! 88: 356 running-lines smoother ! 89: 358 unweighted running-lines smoother ! 90: running-lines smoother ! 91: 360 kernel smoother ! 92: kernel smoother ! 93: kernel ! 94: target value ! 95: 364 kernel smoother ! 96: target point ! 97: 366 kernel smoother ! 98: 385 standard gaussian density ! 99: 393 metric distance ! 100: metric ! 101: rank distance ! 102: 394 kernel smoother ! 103: 398 kernel smooth ! 104: 400 fitted smooth ! 105: 404 computational issues ! 106: kernel smooth ! 107: weight function ! 108: 411 kernel smooth ! 109: 417 spaced data ! 110: fine grid ! 111: 419 running medians and enhancements ! 112: smoothing ! 113: running mean ! 114: 424 running mean ! 115: 427 hanning ! 116: twicing ! 117: 429 spaced data ! 118: time series ! 119: smoothing ! 120: 433 interested reader ! 121: bibliographic notes ! 122: 434 spaced data ! 123: regression smoothers ! 124: 441 linear ! 125: 441 degrees of freedom ! 126: 443 time series ! 127: 447 equivalent kernel ! 128: 452 target point ! 129: 452 equivalent kernel ! 130: 459 equivalent kernels ! 131: 461 linear ! 132: smoothing parameter ! 133: 463 equivalent kernel ! 134: 465 running mean ! 135: 468 equivalent kernel ! 136: 472 running mean ! 137: 475 loess smooth ! 138: 476 smoothing ! 139: smoothing parameter ! 140: equivalent kernel ! 141: 477 equivalent degrees of freedom ! 142: 479 smoothing ! 143: 479 equivalent kernel ! 144: 485 regression splines ! 145: 490 regression splines ! 146: piecewise ! 147: 491 knots ! 148: 493 piecewise polynomials ! 149: 494 bin smoother ! 150: piecewise cubic polynomials ! 151: 509 interior knots ! 152: 514 multiple regression ! 153: 514 basis functions ! 154: piecewise cubic polynomials ! 155: 520 natural splines ! 156: piecewise polynomials ! 157: cubic splines ! 158: 521 boundary knots ! 159: 524 interior knots ! 160: boundary knots ! 161: 525 natural splines ! 162: regression splines ! 163: 527 interior knots ! 164: 527 computational aspects ! 165: 532 number ! 166: interior knots ! 167: 535 three interior knots ! 168: 539 basis functions ! 169: 541 interior knots ! 170: boundary knots ! 171: 542 basis functions ! 172: 545 third derivative ! 173: 550 basis functions ! 174: 555 piecewise cubics ! 175: 556 matrix ! 176: 561 basis functions ! 177: 565 interior knots ! 178: 567 basis functions ! 179: 572 matrix ! 180: 574 piecewise cubics ! 181: 577 regression splines ! 182: when the knots are given ! 183: 579 regression splines ! 184: 583 equivalent kernel ! 185: three interior knots ! 186: 586 regression splines ! 187: smoothing parameter ! 188: 590 cubic smoothing spline ! 189: 602 scatterplot smoother ! 190: 608 natural cubic spline ! 191: 611 interior knots ! 192: 612 effective dimension ! 193: 613 smoothing ! 194: 616 running-lines smooth ! 195: 621 running-lines smooth ! 196: 625 least-squares line ! 197: 631 computational aspects ! 198: natural cubic spline ! 199: interior knots ! 200: 635 basis functions ! 201: 637 natural splines ! 202: 640 matrix ! 203: matrix ! 204: 648 sorted values ! 205: 652 matrix ! 206: 662 natural-spline basis ! 207: matrix ! 208: 667 cubic smoothing spline ! 209: 671 cubic smoothing spline ! 210: local averaging ! 211: 673 equivalent kernel ! 212: target point ! 213: 674 equivalent kernel ! 214: equivalent kernel ! 215: smoothing splines ! 216: 677 smoothing ! 217: kernel ! 218: 678 smoothing parameter ! 219: weight function ! 220: 682 target point ! 221: 685 smoothing splines ! 222: 687 locally weighted running-line smoothers ! 223: loess ! 224: 692 nearest neighbours ! 225: nearest neighbours ! 226: 698 tri-cube weight ! 227: 703 weighted least-squares fit ! 228: 704 target point ! 229: 711 target point ! 230: 712 target point ! 231: 720 smoothing ! 232: 725 span ! 233: data points ! 234: smoothing parameter ! 235: 730 nearest neighbourhood ! 236: symmetric nearest neighbourhood ! 237: target point ! 238: nearest neighbourhood ! 239: 737 symmetric nearest neighbourhood ! 240: running-lines smoother ! 241: 739 nearest neighbourhood ! 242: data points ! 243: target point ! 244: 744 symmetric nearest neighbourhood ! 245: 747 nearest neighbourhood ! 246: loess ! 247: 750 kernel smoother ! 248: 756 smoothers for multiple predictors ! 249: single predictor ! 250: scatterplot smoother ! 251: 764 multiple regression ! 252: 766 running mean ! 253: kernel smoother ! 254: 769 nearest neighbours ! 255: 771 nearest ! 256: euclidean distance ! 257: 773 symmetric nearest neighbours ! 258: 775 running mean ! 259: target point ! 260: 779 euclidean distance ! 261: matrix ! 262: 785 target point ! 263: 791 smoothing ! 264: 796 running mean ! 265: 800 predictor space ! 266: 812 weight function ! 267: 813 weight function ! 268: kernel smoother ! 269: 817 predictor space ! 270: 822 matrix ! 271: 835 smoothing ! 272: thin-plate spline ! 273: 843 interested reader ! 274: bibliographic notes ! 275: 845 tensor product ! 276: 846 regression splines ! 277: 847 basis functions ! 278: basis functions ! 279: 848 regression splines ! 280: 849 smoothing ! 281: 850 basis functions ! 282: 852 multi-predictor smoothers ! 283: 859 parametric regression ! 284: 860 smoothing ! 285: 863 multi-predictor smoothers ! 286: 864 scatterplot smoother ! 287: running-lines smoother ! 288: smoothing ! 289: locally-weighted running-lines ! 290: kernel smoother ! 291: 873 per~se ! 292: building block ! 293: 876 smoothing parameter ! 294: locally-weighted running-lines ! 295: smoothing ! 296: kernel smoother ! 297: 890 smoothing splines ! 298: 891 smoothing splines ! 299: 926 natural splines ! 300: 927 matrix containing ! 301: basis functions ! 302: interior knots ! 303: 928 matrix containing ! 304: basis functions ! 305: 930 matrix ! 306: interior knots ! 307: boundary knots ! 308: 932 derivation of smoothing splines ! 309: 950 third derivative ! 310: 954 least-squares line ! 311: 964 cubic smoothing spline ! 312: 967 smoothing ! 313: 969 semi-parametric regression ! 314: 972 matrix ! 315: 975 estimating equations ! 316: smoothing ! 317: 979 efficient kernel smoothing ! 318: 980 kernel smooth ! 319: 982 fine grid ! 320: 992 matrix ! 321: smoothing ! 322: 997 smoothing splines ! 323: 1003 equivalent kernel
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