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van Dijk N. — Handbook of Statistics 16: Order Statistics: Theory & Methods
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Название: Handbook of Statistics 16: Order Statistics: Theory & Methods
Автор: van Dijk N.
Аннотация: Major theoretical advances were made in this area of research, and in the course of these developments order statistics has also found important applications in many diverse areas. These include life-testing and reliability, robustness studies, statistical quality control, filtering theory, signal processing, image processing, and radar target detection.
Theoretical researchers working on theoretical and methodological advancements on order statistics and applied statisticians and engineers developing new and innovative applications of order statistics have been successfully brought together to create this handbook. For the convenience of readers, the subject matter has been divided into two volumes. This volume focuses on theory and methods, and volume 17 deals primarily with applications. Each volume has been divided into parts, each part specializing in one aspect of order statistics.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Издание: 1 edition
Год издания: 1998
Количество страниц: 721
Добавлена в каталог: 12.04.2010
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Предметный указатель
Caraux, G. 109 113 143
Casley, D. J. 496 510
Castelle, N. 584 628 632 685
Castillo, E. 4 12 22 40 50 150 223 326 327 328 329 331
Cauchy distribution 26 33 152 175 274 301
Cauchy — Schwarz inequality 33 113 118 120 122 126 302 530 531
Censored bivariate data 488 498
Censored BLUE 416 419 426
Censored sample 25 150 336 343
Centered log-likelihood ratio 617
Central concomitants 495
Central distributions 389
Central limit theorem 341 536 548 553 580
Chakraborty, S. 149 176 177 224 225
Chan, L. K. 11 22 31 50 138 142 248 254 262 286 293 308
Chan, P. S. 8 13 21 532 558 562 563
Chan, W. 96 102 104
Chanda, K. C. 509 519
Chandler, K. N. 47 50 515 516 520 521 534 563
Change-point alternatives 615 616
Change-point problems 573 576 578 591 595 599 614
Changepoint 605 615
Chaplin, W. S. 39 40 50
Characteristic function 278 279 301
Characteristic roots 41
Characterizations 11 45 90 231-253 257-285 291-307 516 559
Chatterjee, S. 387 401
Chaudhury, H. 372
Chauvenet, W. 29 50
Chen, H. J. (Mrs.) 45 62
Cheng, S. W. 31 50
Cheng, S. — H. 561 563
Chernoff, H. 41 50
Chi distribution see Half normal distribution
Chi-square distribution 274 388
Chi-square test 43
Chibisov — O’Reilly theorem 582
Chibisov, D. M. 40 50 574 582 628 653 686
Childhood leukemia 441
Childs, A. 11 18 22 403 404 406 408 410 412 414 418 420 422 424 426 428 430 432 434 436 438
Choquet — Deny type functional equations 45
Chow, Y. S. 376 384
Chung, K. L. 586 593 628 675 686
Cislak, P. J. 203 204 223
Clark, C. E. 33 50
Clemm, D. S. 37 55
Closure property 91
Clutter, J. L. 499 500 511
Cobby, J. M. 500 512
Cohen, A. C. 4 14 16 22 30 31 40-51 65 71 150 222 223 292 301 308
Cole, R. H. 151 155 223 291 308
Coles, S. G. 495 510
Combinatorial identities 151 152 157
Compact differentiability 345
Compatible 276
Complete covariance matrix dominance 14
Complete statistic 339
Complete sufficient statistic 416
Concave function 108 139
Concentration of airborne pollutants 441
Concomitant order statistics 4 19 20 336 340 352 353 355 356 487 492
Concomitant variate 359
Conditional -functionals 336 359
Conditional moments 257
Conditional ordering 89
Conditional quantiles 358
Conditional residual moment 321
Confidence bands 343
Confidence bounds 328 643
confidence intervals 25 480 498 507 508
Confidence procedures 37 42
Confidence region 400
Conjugate density 476
Constantine, A. G. 42 51
Contamination 150
Contiguous alternatives 576 579 614 615 619
Contiguous functions 192 197
Control chart 605
Convex cones 105 106 120 126-128 134
Convex function 75 93
Convex hull 558
Convex transform ordering 89 92
Convolutions 91 95 97
Cook, R. D. 387 401
Cook’s statistics 378 400
Cook’s distance 18
Correa, J. A. 576 628
Correlation coefficient 488 496 497 500 504 505 559
Counting process 540 560
Cournot, A. A. 36 51
Covariance function 543 581 584 591 596-598 617 618 620-622 624 627 635
Covariance matrix 416 419 421
Cox regression model 354
Cox, D. R. 354 355 356 371 449 461 476 482
Cram r — Von Mises distance 456
Cram r — Von Mises test 43
Cram r — Wold device 619
Cram r, H. 43 51
Crawford, G. B. 231 236 254
Criterion series 375
Cross-cumulants 11
Cs ki, E. 648 667 674 686
Cs rg , M. 45 51 255 261 272 273-276 278 286 290 574 575-577 582 583 585-592 594 595 597 598 600 603 605 607 608 612-614 622-629 631-638 604 642-660 662-664 666-668 670 672 674-680 682 684-686
Cs rg , S. 574 575 582 583 587 588 598 628 649 653 654 656 686
Csaki-type law of the iterated logarithm 648
Cumulant generating function 449 450 475
Cumulants 11
Cumulative hazard function 320 365
Cumulative rounding error 152
Curry, T. F. 29 56
Cusum chart 605
Cutting function 340
Cycles lengths 559
Dallas, A. C. 231 249 251 254 263 287
Daniell, P. J. 30 40 51
Daniels, H. A. 361 371
Daniels, H. E. 444 449 461 475 79 483
Darkhovsky, B. S. 576 628
Darling, D. A. 43 48 574 582 605 628 629
Data compression 150
David, F. N. 10 11 22 33 51 173 224
David, H. A. 3 10 11 17 19 20 22 23 25 26 32 33 45-47 51 56 65 71 106 114 118-120 143 149 150 153-155 168 184 222 224 225 231 254 258 287 291 292 302 305 308 309 340 353 371 403 412 438 441 445 461 487-490 492-496 498-500 502-506 508 510-513 531
Davies, L. 277 290
Davies, P. L. 235 254 262 287
Davis, C. S. 151 153 173 224
Davis, R. 442 447 456 461
Davison, A. C. 441 443 449 461
Dawson, D. A. 255
de Finetti’s representation 543
de Finetti’s theorem 235 236 248 330
De Haan, L. 40 51 321 322 328 332 441 442 447 448 456 458 460 461 468 469 482 528 547 560 563 564
De Laurentis, J. M. 559 564
Decomposition principle 325 326
Decreasing failure probability 139
Decreasing failure rate (DFR) 26 91 97 128 130 136 140 260 261 264 265 267 282
Decreasing Failure Rate on Average (DFRA) 27 367
Decreasing Mean Residual life (DMRL) 260 261 367
Deddens, J. A. 490 512
Deheuvels, P. 375-377 382 384 519 528 536-542 546 549-551 554 560 564 637 667 671 674 685 686
Dekker, A. L. M. 441 442 447 448 456 458 460 461
Delete -jackknifing 347
Dell, T. R. 499 500 511
Density-quantile function 642 643
Deny, J. 234 254
Deny’s theorem 235
Dependence structure 26 493
Dependent -scheme 556
Descending method 41 67 68
Deshayes, J. 577 585 593 629
Deshpande, J. V. 371 372
Determinant-efficient estimators 14
Determinantal equations 42
Deus, M. M. 38 45 51 52 261 263 266 269 270 275 287
Devroye, L. 41 52 66 69 71 559 564
DiCiccio, T. J. 443 461 482 483
Diersen, J. 564
Differential equation 189 191 404 414 531 532
Digamma function 443
Dimaki, C. 270 287 301 308
Direct products 614
Discrete Pareto distribution 284
Discriminant analysis 42
Dispersion matrix 394
Dispersive ordering 89 91 92 96 97
Dispersive random variable 92
Distribution-free 25 149 357
Distribution-free tolerance procedures 33
Distributions closed under maxima 413
Distributions, 388 396 398 400 401
Distributions, -shaped 131 132 135 137 139
Distributions, -dimensional extremal 442 443
Distributions, 26
Distributions, -shaped 133 134
Distributions, -normal symmetric 261
Distributions, Bernoulli 38 284 580
Distributions, beta 26 68 77
Distributions, binomial 4 7 26 38 252 284 337 341 464 470 479 662 664
Distributions, bivariate extreme value 558
Distributions, bivariate normal 489 493 495-498 502 504 505 508 558
Distributions, bootstrap 444 448 449 454 458
Distributions, Burr 153 204 208 209 216 218-221 268 269 298 300
Distributions, Cauchy 26 33 152 175 274 301
Distributions, central 389
Distributions, chi-square 274 388
Distributions, closed under maxima 413
Distributions, DFR 26 128 130 140 260 261 264 265 267 282 304 367 561
Distributions, DFRA 27 367
Distributions, discrete Pareto 284
Distributions, DMRL 260 261 367
Distributions, double Weibull 172
Distributions, doubly truncated Burr 209
Distributions, doubly truncated Cauchy 301
Distributions, doubly truncated exponential 188 190 404
Distributions, doubly truncated Laplace 212 213 216
Distributions, doubly truncated linear-exponential 201
Distributions, doubly truncated log-logistic 205
Distributions, doubly truncated logistic 180 183 184
Distributions, doubly truncated parabolic 211
Distributions, doubly truncated Pareto 194 404 413 414 421
Distributions, doubly truncated power function 191 192
Distributions, doubly truncated skewed 211
Distributions, elliptically contoured 47
Distributions, exponential 8 13 14 16 26 31-33 38 43 45 46 67 70 77-80 82 86 91 92 95-97 99 101 102 128 130 134 152 153 188 201 216 221 231 233 234 236-242 245 248 249 251 253 258-272 174 175 277-279 282 284 295-299 302 304 306 307 321-325 327 337 338 369 403 413 442-447 454 458 460 476 494 516 518 520 525 527 531 534 538 545 556 559 561 644
Distributions, exponential family 339 367
Distributions, extended normal 307
Distributions, folded 151 171 172
Distributions, gamma 26 31 32 38 70 184-186 278 321 442 492
Distributions, generalized extreme value 442 532 543 547
Distributions, generalized gamma 186 187
Distributions, generalized half logistic 32 183
Distributions, generalized logistic 32
Distributions, generalized Pareto 442 447 456 459 532
Distributions, geometric 26 231 234 236-242 245 249 251 253 259 264 265 280 282-285 516 529 548 559
Distributions, Gompertz 442
Distributions, Gumbel 441 442 453 532 547
Distributions, Gumbel’s bivariate exponential 490 494
Distributions, half normal (chi) 173
Distributions, HNBUE 368
Distributions, IFR 26 131 132 137 260 261 264 265 267 282 304 367 561
Distributions, IFRA 26 367
Distributions, IMRL 260 261 367
Distributions, inverse multinomial 185
Distributions, inverse normal 476
Distributions, Laplace (or Double exponential) 26 29 152 153 172 276 279
Distributions, left-truncated Pareto 415
Distributions, life 325
Distributions, linear-exponential 32 200
Distributions, location-scale family 13 343 350
Distributions, log — Weibull 31
Distributions, log-logistic 32 153 204 205 208 210 218
Distributions, logarithmic 300
Distributions, logistic 8 26 32 138 152 153 177 216-218 268 269 272 275 277-279 297-301 404 442 532
Distributions, lognormal 26 272 273 442
Distributions, Lomax 153 203 210 216-218 532
Distributions, mixture 100 130 134 543
Distributions, mixture of exponential 153 212
Distributions, mixture of normal 554
Distributions, modified geometric type 285
Distributions, multinomial 26 70
Distributions, multivariate beta 370
Distributions, multivariate exponential 261
Distributions, multivariate normal 42 45 47 341 342 351 490 491 507
Distributions, NBRUE 367-369
Distributions, NBU 27 260 264 267 269 275 282 304 366
Distributions, NBUE 367 368
Distributions, negative binomial 4 26 541
Distributions, negative Pareto 136
Distributions, non-lattice 278
Distributions, noncentral 389
Distributions, Normal 17 26 28 30-32 37-39 41 43-45 99 137 138 151-153 155 173 174 272-274 292 297 305-307 321-323 325 348 354 362 388 394 442 444 447 449 453-459 467 468 470 472-474 479 489 493 495 498 503 505 506 509 510 518 524 532 537 547 554 555 595 600 661 672 673
Distributions, NWRUE 367
Distributions, NWU 27 260 264 267 269 270 275 282 304 366 368
Distributions, NWUE 367
Distributions, parabolic 153 211
Distributions, Pareto 8 13 14 18 26 32 79 82 84 86 136 152 153 193 194 198 217-221 259 268-270 297-301 307 403 404 406 411-413 415 416 421 426 442
Distributions, Poisson 26 284
Distributions, Rayleigh 199-201 218-221 532
Distributions, reflected Weibull 276 300
Distributions, restricted family 105 106
Distributions, right truncated exponential 132 190 403
Distributions, right-truncated Pareto 415
Distributions, scale-family 13
Distributions, scaled 400
Distributions, shifted exponential 243 244 250
Distributions, shifted geometric 243 245
Distributions, singular Gaussian 394
Distributions, skewed 153 211
Distributions, Snedecor — Fisher 387
Distributions, stable 45
Distributions, symmetric 105
Distributions, symmetric -shaped 138 141
Distributions, symmetric unimodal 105
Distributions, truncated 32 153
Distributions, truncated Burr 209
Distributions, truncated Cauchy 175
Distributions, truncated normal 307
Distributions, truncated Pareto 403 413 414
Distributions, type I Gumbel 441 442 447 448 450
Distributions, type II Gumbel 442 448
Distributions, uniform 8 10 13 14 17 26 29 30 39 41 45 65-69 77 78 84 86 91 97 107 110 112 123 130 133 138 248 252 253 258 269-272 275 278-280 284 295 297 299 302 303 306 339 343 382 464 468 470 492 510 559 574 581 584 607 617 636 653 662 664 671
Distributions, Weibull 8 12 26 31 40 83 86 92 190 218-221 247 259 268-270 272 274 276 277 300 321 328 329 442 453 457 459 532
Distributions, Weibull-exponential 210
Distributions, Weibull-gamma 210
Dixit, U. J. 36 62 292 311
Dixon, W. J. 29 52 149 150 224
Do, K. — A. 443 461 506 509 511
Dobrushin, R. L. 674 687
Dodd, E. L. 39 52 319 331
Dodge, Y. 289 310 372
Doganaksoy, N. 14 22
Domain of (maximal) attraction 12 318 319 322 323 327 441 442 448 494 528
Donsker, M. 581 629 635 687
Donsker’s theorem 617 635
Doornbos, R. 29 52
Double exponential distribution see Laplace distribution
Double sampling 488 500
Double Weibull distribution 172
Doubly stochastic matrix 17
Doubly truncated Burr distribution 209
Doubly truncated Cauchy distribution 301
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