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Balakrishnan N. (ed.), Rao C.R. (ed.) — Order Statistics - Theory and Methods
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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      (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 L-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 $D_{1}$ 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
Cramer — Von Mises distance      456
Cramer — von Mises test      43
Cramer — Wold device      619
Cramer, H.      43 51
Crawford, G. B.      231 236 254
Criterion series      375
Cross-cumulants      11
Csaki, E.      648 667 674 686
Csaki-type law of the iterated logarithm      648
Csoergo, S.      574 575 582 583 587 588 598 628 649 653 654 656 686
Csorgo, 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
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—479 483
Darkhovsky, B. S.      576 628
Darling, D. A.      43 48 574 582 605 628 629
Data compression      150
David, F. N.      10 1 1 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 k-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 $F^{\alpha}$-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, $l_{1}$-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 98 502 504 505 508 558
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, F      388 396 398 400 401
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, J-shaped      131 132 135 137 139
Distributions, k-dimensional extremal      442 443
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 F      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 U-shaped      138 141
Distributions, symmetric unimodal      105
Distributions, t      26
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, U-shaped      133 134
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.      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      (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
Doubly truncated exponential distribution      188 190 404
Doubly truncated Laplace distribution      212 213 216
Doubly truncated linear-exponential distribution      201
Doubly truncated log-logistic distribution      205
Doubly truncated logistic distribution      180 183 184
Doubly truncated parabolic distribution      211
Doubly truncated Pareto distribution      194 404 413 414 421
Doubly truncated power function distribution      191 192
Doubly truncated skewed distribution      211
Downton, F.      32 52 151 156 194 224 251 254
Drake, S.      53
Droste, W.      92 104
Duality result      9 21 46
Dubey, S. D.      276 287
Ducharme, G.      479 483
Dudley, R. M.      686
Dudman, J.      178 223
Dufour, R.      247 254 274 287
Duncan, D. B.      37 52
Duncan’s multiple range test      37
Dunnett, C. W.      38 49
Dunsmore, I. R.      35 48 559 564
Duration of human life      39
Durban, J.      465 461
Durbin, J.      42 44 52
Dvoretzky, A.      640 687
Dwass, M.      516 518 560 564
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