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van Dijk N. — Handbook of Statistics 16: Order Statistics: Theory & Methods
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$F$ distribution      388 396-398 400 401
$F$ test      36
$F$-scheme      548-551 553 554 557
$F^{\alpha}$-scheme      548 556
$G$-dependence      329
$g$-ordering      488
$J$-shaped distributions      131 132 135 137 139
$K$-component system-in parallel      361 364
$K$-component system-in series      361
$k$-dimensional extremal distribution      442 443
$k$-out of-$K$ multicomponent system      364
$K$-record times      541
$K$-record values      541
$k^{th}$ inter-record times      537 538
$k^{th}$ lower record values      517
$k^{th}$ order rank weighted average      348
$k^{th}$ record times      516 517 524 534-537 539 540 541 543 544 551
$k^{th}$ record values $k^{th}$ lower record times      517
$k_{n}$-record times      541-543 551
$k_{n}$-records      293 519 541 543 546
$L$-estimates      105 106 111 112 114 116-118 122 126-129 131 133-135 138 140 142 344 350 360 363 465 466 467 480
$L$-functionals      345 348 349 354 358 361
$L$-statistic      336 338 339 344 348 358 368
$L_{1}$-functional      578 594 598
$L_{p}$ approximation      593
$L_{p}$ functional      583 589 593-595 654 656
$L_{p}$-metric      574 578 579 582 585 606 609 622 653 659
$L_{p}$-norm      577 605 655
$m$-component mixed random variable      215
$M$-estimates      18 448 464 465 479
$M$-statistics      279
$O$-statistics      467
$p$-norm bounds      33 124
$R$-estimators      352
$r$-ordering      134
$s$-comparisons      133 138 531
$s$-ordering      132-134
$t$ distribution      26
$t$ test      36 37
$\check{S}$id$\acute{a}$k      614 629 644 645 687
$\delta$-exceedance records      561
$\sigma$-algebra      536 542 551
$\sigma$-field      235
$\textit{c}$-comparison      136 531
$\textit{c}$-ordering      127 369
$\textit{l}_{1}$-norm symmetric distributions      261
$\textit{l}_{2}$-projection      106
Abdel — Aty, S. H.      155 222
Abramowitz, M.      176 105 222 443 461
Abu — Salih, M. S.      293 310
Abu — Youssef, S. E.      184 190 202 211 219 226 227 293 307 310
Acton, S. T.      46 48
Adaptive procedures      29
Adke, S. R.      545 561
Adler, R. J.      586 587 593 623 628
Admissible weight functions      589 594
Adrain, R.      28 48
Affine invariance property      340
Aggarwala, R.      8 13 21 69 70
Ahmed, S. E.      32 49 58 153 221 223 226 292 297 305 308 310
Ahsanullah, M.      19 21 47 48 231 253 264-267 269 271 274 285 296 304 308 487 515 516 531 532 558 559 561 562
Aitchison, J.      35 48
Aitken, A. C.      41 48
Alam, S. N.      245 255
Albeverio, S.      562
Ali, M. M.      138 142
Ali, M. Masoom      14 21 31 48 209 222
Alimoradi, S.      14 21
Almost sure invariance principle      544
Alpium, M. T.      548 562
Aly, M. A. H.      231 254 285 286
Alzaid, A. A.      232 245 254 262 286
Analysis of covariance (ANOCOVA)      357
Analysis of variance      44
Andel, J.      545 561
Anderson — Darling test      43
Anderson, C. L.      47 48
Anderson, T, W.      42 43 48 256 491 510 574 582 628
Andrews, D. F.      18 21 29 48 150 222 444 458 461
Angelis, D. D.      482
Antiranks      339 340
Applications, birth defects      441
Applications, breaking strength of materials      39 40
Applications, breeding      487
Applications, childhood leukemia      441
Applications, concentration of airborne pollutants      441
Applications, duration of human life      39
Applications, econometrics      25
Applications, employment problems of a professional couple      504
Applications, energy levels in nuclear spectra      42
Applications, engineering      40
Applications, environmental issues      441
Applications, estimation theory      253
Applications, exposure to radioactivity      441
Applications, extinction times for bacteria      39
Applications, file-matching procedures      488 510
Applications, financial asset pricing models      488
Applications, floods and droughts      39 515
Applications, genetic selection problems      506 507
Applications, gust loads      39
Applications, hydrology      25 40 327 328 490
Applications, insurance mathematics      559
Applications, life-testing      14 15 30 337 338 355 361
Applications, major flood      441
Applications, meterology      25 39
Applications, model building      253 362
Applications, Olympic games      548
Applications, paired $t$-test      488
Applications, public health issues      441
Applications, quality control      25 36 39
Applications, queuing theory      253
Applications, radioactive decay      39
Applications, rainfall      515
Applications, rate of cancer      441
Applications, reliability      30 89 90 253 335 336 337 338 361 362
Applications, searching algorithms      559
Applications, secretary problem      559
Applications, seismology      25
Applications, selection procedures      487 488 507
Applications, snowfall      515
Applications, speeds of groups of vehicles      559
Applications, sports events      515 553
Applications, sports records      559
Applications, stock market      40
Applications, strength of bundle of filaments      336 361
Applications, strength of materials      25 329
Applications, survival analysis      89 90 335 336 354-356
Applications, system availability      336 361
Applications, temperature      515
Approximations      4 32 530
Arce, G. R.      45 46 48 49
Archimedean copula process      555 556
Arnold, B.C.      3 4 7 9-11 17 19 21 26 27 32 33 47 48 65 70 75 76 78-80 82-87 106 113 117-119 124 125 137 138 142 151 153-155 222 231 240 245 254 257 263 270 271 275 279 282 286 288 292 295 297 302 305 308 404 414 416 420 438 494 510 515 531 532 562
Ascending method      41 66 68
Associated random variables      94 492
Asymmetric censoring      31
Asymptotic theory      4
Asymptotically best linear estimators      149 343
Athreya, K. B.      256
Autoregressive process      545
Auxiliary variable      505
Aven, T.      113 142
Average absolute deviation      27
Average availability      364
Azlarov, T. A.      217 218 222 231 254 257 286 296 308
Babu, A. J. G.      68 71
Babu, G. J.      480 482
Bagai, I.      97 103
Bagchi, P.      559 563
Bagchi, S. N.      262 284-286
Bagdonavicius, V.      555 562
Bahadur representation      341 342 473 474 636
Bahadur — Kiefer principle      636 637
Bahadur — Kiefer process      631 637 660 661 675 679-682
Bahadur, R. R.      341 371 473 474 481 482 636 648 661 685
Bai, Z. D.      47 64
Bain, L. J.      16 21 30 48 150 222
Balabekyan — Nevzorov’s records      546
Balabekyan, V. A.      546 547 562
Balakrishnan, A. V.      120 126 142
Balakrishnan, N.      3 4 6-14 16-34 36-38 40-42 44-50 52 54-58 60 62-72 106 117 121 122 137 138 142 149 150-160 162 164 166 168-174 176-180 182-184 186 188-192 194-196 198 200-206 208 210 212-216 218 220 221-228 231 241 242 253-255 257 263 279 282 286-287 292 297 301 302 305 308 310 403 404 406 408 410-416 418 420 422 424 426 428 430 432 434 436 438 490 492 494 510 512 515 516 518 522 524 526 528 530-532 534 536 538 540 542 544 546 548 550 552 554-556 558 560-563 566 568-570
Balasubramanian, K.      7 9 22 46 49 172 213-215 222 226 292 293 308 404 490 492 510 561 562
Baldessari, B. A.      287 511
Balkema, A. A.      448 461 468 469 482
Ballerini — Resnick scheme      557
Ballerini, R.      532 547-549 555-557 559 563
Bandwidth      466
Bapat, R. B.      46 49 99 103 292 308
Barbera, F.      36 62
Bargmann, R. E.      42 61
Barlow, R. E.      26 33 49 92-94 102 103 134 136 137 143 364 371 492 510
Barndorff — Nielson, O.      376 379 380-382 384 449 461 476 482 518 563 605 628
Barner, K. E.      46 48 49
Barnett, V.      4 17 22 29 41 44 47 49 150 152 175 223 412 438 487 497 510
Barranco Chamoor, I.      566
Bartfai, P.      566
Bartlett, M. S.      41 42 49
Barton, D. E.      496 510 558 563
Bartoszewicz, J.      103
Basak, P.      559 563
Bassett, G.      350 371
Basseville, M.      629
Basu, A. P.      8 17 22 72 372
Basu, S. K.      372
Bechenbach, E. F.      303 308
Bechhofer, R. E.      38 49 50
Becker, A.      266 280 282 283 286
Beckman, R. J.      31 63
Beesack, P. R.      118 143
Beg, M. I.      46 49 245 255 293 308 310 490 510
Behrens — Fisher problem      273
Bell, C. B.      261 286
Bellman, R.      303 308
Belsley, D. A.      387 401
Belson, J.      35 50
Bendre, S. M.      46 49 62 122 142 292 308 411 438
Bennet, S.      204 223
Benveniste, A.      629
Beran, R.      479 483
Bereanu, B.      144
Berenson, M. L.      70 71
Berk, R. H.      275 286
Berman, S. M.      330 331
Bernardo, J. M.      451 461
Bernoulli distribution      38 284 580
Bernoulli, D.      29 50
Bernoulli, N.      39
Bernstein basis      112
Berred, M.      543 558 563
Berry — Esseen theorem      470 471
Berry — Esseen type bound      468 472
Bessel process      356
Best linear invariant estimation      31
Best linear unbiased estimation      12 13 18 25 28 30 31 179 343 404 415 416 421 426 498
Best linear unbiased prediction      12 14
Beta distribution      26 68 77
beta function      154 203
Bhattacharjee, M. C.      364 368 369-372
Bhattacharya, P. K.      47 50 340 352 354 355 371 487 488 490 492 506 507 510 605 628
Bhattacharyya, B. B.      46 50 361 373
Bias      18 416-419 421-425 443
Bickel, P. J.      18 21 29 48 150 222 289 444 461 584 628
Billingsley, P.      342 371
Binomial distribution      7 26 38 252 337 341 464 470 479 662 664
Binomial expansion      9
Binomial form      4
Biondini, R.      517 534 544 545 563 569
Birnbaum, A.      178 223
Birth defects      441
Birth process      545
Bivariate dependence      89
Bivariate extreme value distribution      558
Bivariate Markov sequence      545
Bivariate normal distribution      489 493 495-498 502 504 505 508 558
Blackmore, R.      559 569
Block, H. W.      104 204 223
Block-diagonal dispersion matrix      393 399
Block-diagonal form      388
Blom, G.      40 44 50 135 143 149 223 561 563
Blum, J. R.      591 628
Boas, R. P.      294 308
Boland, P. J.      7 22 27 33 50 89 90 92 94-96 98-104
Boncelet, C. G. Jr      46 60
Bonferroni-type inequalities      315 380
Bonvalot, F.      584 628 632 685
Boos, D. D.      443 458 461
Booth, J. D.      444 449 450 452 462
Bootstrap      348 362 368 441 443-445 453-456 466 480 488 507 595
Bootstrap approximation      446 455-457 458-460 468 479 481
Bootstrap distribution      444 448 449 454 458 509
Bootstrap error      480
Bootstrap estimator      467
Bootstrap quantiles      480
Bootstrap sample      480
Borel $\sigma$-field      232 250
Borel measurable function      232 234 236 237
Borel subset      250
Borel — Cantelli lemma      379 632 640
Borevich, Z. I.      562 567 568
Borthakur, A. C.      372
Bortkiewicz, L. von      39 50 319 331
Bosch, K.      263 286
Boscovich, R. J.      28 50
Bose, R. C.      42 61
bounds      4 32 105 303 337 530
Bovik, A. C.      46 48 50
Boyd, A. V.      117 118 143
Boyd, D. W.      389 402
Braun, H. J.      63
Bray, T. A.      67 71
break points      107
Breaking strength of materials      39
Breeding      487
Breiman, L.      375 384
Breiter, M. C.      184 223
Bretangolle, J.      581 628
Bridge type process      576 609
Brillinger, D. R.      581 628
British Coal Mining data      444 458
Brodsky, B. E.      576 628
Brown, L. D.      586 587 593 623 628
Brownian bridge      342 507 581-583 599 635 643 644 654 655 672 678 680
Brownian Bridge process      582
Brownian motion      507
Brunk, H. D.      44 50
Bruss, F. T.      545 559 561 563
Buchberger, S. G.      490 512
Bucket sorting      70
Bundle of parallel filaments      336 361
Bunge, J. A.      545 563
Burke, M. D.      645 685
Burr distribution      153 204 208 209 216 218-221 268 269 298 300
Burr, I. W.      203 204 223
Burrows, P. M.      174 223
Butler, R. W.      444 449 450 452 462
Cadwell, J. H.      159 223
Canonical correlation      42
Canonical form      390-392
Canonical leverages      397
Cantelli, F. P.      580 628
1 2 3 4 5 6 7
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