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Balakrishnan N. (ed.), Rao C.R. (ed.) — Order Statistics - Theory and Methods
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Название: Order Statistics - Theory and Methods
Авторы: Balakrishnan N. (ed.), Rao C.R. (ed.)
Аннотация: Handbook of Statistics 16
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. The articles in this volume have been classified into nine parts. An elaborate Author Index as well as a Subject Index is presented in both volumes in order to facilitate easy access to all the material included in this volume.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1998
Количество страниц: 731
Добавлена в каталог: 23.06.2009
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Предметный указатель
-scheme 548 556
inter-record times 537 538
lower record times 517
lower record values 517
order rank weighted average 348
record times 516 517 524 534—537 539 540 541 543 544 551
-record times 541 543 551
-records 293 519 541 543 546
-functional 578 594 598
-norm symmetric distributions 261
-projection 106
approximation 593
functional 583 589 593—595 654 656
-metric 574 578 579 582 585 606 609 622 653 659
-norm 577 605 655
—exceedance records 561
-algebra 536 542 551
-field 235
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
Ah, M. M. 138 142
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
Albeveno, S 562
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 Mest 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 16 418 420 422 424 426 428 430 432 434 436 438 490 492 494 510 512 515 516 518 522 524 526 528 530—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 49 292 308
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 -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
c-comparison 136 531
c-ordering 127 369
Cadwell, J. H. 159 223
Canonical correlation 42
Canonical form 390—392
Canonical leverages 397
Cantelli, F. P. 580 628
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. 1 1—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
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