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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
Increasing Mean Residual Life (IMRL) 260 261 267
Indicator function 341 509
Indicator method 21 46
Indifference-zone approach 38
Induced linear order statistics 357
Induced order statistics 47 336 340 353 354 487
Induced selection differential 488 506 507
Induced sequential uniform empirical distribution function 641
Induced sequential uniform empirical process 642
Induced sequential uniform empirical quantile function 641
Inference 253
Infinitely often 375
Influential 387 397
Inliers 388 416 421
Insurance mathematics 559
Integrated Cauchy functional equation 231 259 262 283
Integrated regression function 506
Inter-accident times 458
Inter-record times 516 517 525 526 533 545 546 552 559
Interval estimation 31
Invariance principle 672
Inverse distribution function 75 77
Inverse multinomial distribution 185
Inverse normal distribution 476
Inverse transformation method 65
Inversion method 41 70
Iosifescu, M. 144
Isaacson, D. 263 286
ISD test 37
Iterated Kiefer process 680
Iwinska, M. 267 288 304 309
J-shaped distributions 131 132 135 137 139
Jackknifed variance estimator 346 348
Jackknifing 336 345 347 348 362 365 368
Jackson, O. A. Y. 45 56
Jacobs, P. A. 545 565
James, A. T. 42 51 56 57
Janardan, K. G. 269 288
Janas, D. 475 483
Janssen, A. 326 332
Jense, D. R. 18 23
Jensen, D. R. 387—390 392 394 396 398 400 402
Jensen, J. L. 476 483
Jensen’s Inequality 105 135 267 282 304
Jha, V. D. 197 116 490 511
Jlek, M. 35 57
Joag — Dev, K. 99 100 104
Jochel, K. — H. 483
Jogdeo, K. 93 104
Johnson, L. G. 40 57
Johnson, M. E. 65 70 72
Johnson, M. V. 443 461
Johnson, N. L. 10 11 22 29 38 51 55 57 69 70 71 104 173 177 204 224 225 257 288 389 402 404 438 566 568
Johnston, G. J. 508 511
Joint survival function 495
Jones, H. L. 151 155 225
Joshi, P. C. 32 33 46 49 57 122 143 151—153 157 159 163 164 166 168 170 173 174 176 177 182 184 188—191 194—196 217 218 222 224 225 291 292 308 404 406 412 415 438
Joshi, S. M. 506 511
Jung, J. 149 225
Junkins, D. B. 190 227
Jurekov, J. 336 344 345 347 351 352 371
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
Kabe, D G. 194 225 269 290
Kabir, A. B. M. L. 138 143
Kadane, J. B. 293 309
Kagan, A. M. 11 23 45 57 247 255 279 288
Kahaner, D. K. 31 63
Kaigh, W. D. 467 483
Kakosyan, A. V. 45 57 264 277 288
Kalashnikov, V. V. 287 308 567
Kalbfleisch, J. D. 30 57
Kallianpur, G. 289
Kaminsky, K. S. 14 23 36 57
Kamps, U. 11 20 23 45 53 57 123 135 143 216 218 225 231 255 257 258 260 262—264 266—268 270 272 274 276 278 280 282 284 286 288 290—294 296 298- 304 306 308—310 487 511 546 566
Kaplan, E. L 349 371
Karlin, S. 492 511
Katai, I. 331
Katzenbeisser, W. 560 566
Kaufmann, E. 487 511
Keilson, J. 90 91 104
Kemperman, J. H. B. 35 57 111 143
Kendall, M. G. 43 57
Kennedy, W. J. 41 57 70 71
Kernel 338 344 364 474 482
Kernel density estimator 475
Kernel function 466
Kernel method 466
Kernel quantile estimators 466 467 470 472 474 482
Kernel smoothing method 353
Keuls, M. 37 57
Khamis, H. J. 44 55 57
Khan, A. H. 175 190 209 210 217 218 221 222 225 226 293 297 300 307 310
Khan, I. A. 210 217 221 225 293 300 310
Khatn, C. G. 152 226
Khmaladze, E. V. 576 614 619 629 630
Khurana, A. P. 197 226
Kiefer process 575 578 584—591 593 594 596 597 600 602—604 606—609 611 612 615 618 619 622—627 632—634 636-638 646—648 655—660 664 666 668—671 673- 675 678 680 681 684
Kiefer, J. 377 384 473 474 483 584 586 591 593 628 629 632 636 640 648 662 663 672 674 679 687
Kim, S. H. 489 492 511
Kim, Y — T. 46 48
Kimball, B. F. 41 57
Kinoshita, K. 558 566
Kipnis, V. 4 24
Kirmani, S. N. U. A. 245 254 255 293 308 559 560—562 565
Klass, M. J. 376 380 381 383 384
Klebanov, L. B. 45 57 233 255 264 273 277 288
Klincsek, T. 66 71
Knuth, D. E. 66 71
Kochar, S. C. 97 99 100 103 104 561 566
Kocherlakota, S. 172 180 222 223
Koenker, R. 350 371
Kolassa, J. E. 475 476 483
Kolmogorov — Smirnov test 43 44
Kolmogorov — Smirnov test, -corrected 44
Kolmogorov — Smirnov type statistics 342 577 581
Kolmogorov, A. N. 43 58 580 629
Komlos, J. 581 584 590 629 632 636 664 687
Konecny, F. 23
Konheim, A. G. 293 310
Kopocinsky, B. 516 519 534 535 539 564
Kotlarski, I. I. 255 272 280 288 289
Kotz, S. 11 22 29 45 51 53 55 57 60 68 70 71 104 177 204 225 231 236 253—255 257 263 272 275 285 287—289 293 295 296 306 309 310 324 331 389 402 404 438
Koul, H. L. 336 368 371 372
Krishnaiah, P. R. 32 42 43 50 54 55 57—59 62—64 151 184 223 226 371 510
Kuh, E. 387 401
Kuhlmann, F. 45 58
Kuiper test 43
Kuiper, N. H. 43 58
Kulldorff, G. 416 419 438
kurtosis 132
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
Lack of memory 78
Lagakos, S. w 441 462
Lagrange multipliers 667
Lahin, S. N. 469 473 483
Lai, T. L. 109 111 143
Lamb, R. E 44 55
Lambert, J. H. 28 29 58
Lamperti, J. 516 560 566
Lanczos, C. 451 462
Lange, K 156 226
Laplace transform 260 556
Laplace, P. S. 28 58 468
Large deviation rate function 475
Large deviation theory 479
Lau — Rao theorem 235
Lau, K. S. 45 60 231 232—234 239 245 249 254 255 256 259 262 286 289
Launer, R. L. 29 58 224 438
Law of Large Numbers 525 528 636
Law of the iterated logarithm 525 528 607 623 634 662 663 669 674 675 678 680
Lawless, J. F 16 23 30 58 150 226
Lawley, D. N. 42 43 58
Lawrence, M. J. 132 134 138 139 143
Le Cam, L. 144 614 629
Le Cam’s third lemma 619 620
Leadbetter, M. R. 12 23 40 58 330 332
Least significant difference (LSD) test 36 37
Least squares 25 28 30 41 149 328 392 393
Least-squares estimator 387
Lebedev, V. V. 40 58
Lebesgue measure 232 234 642
Lechner, J. 329 332 562
Ledford, A. W. 495 504 511
Lee, S. K. 8 13 22
Lefevre, C. 114 143
Left tail increasing 94
Left-truncated Pareto distribution 415
Legendre orthonormal basis 122
Legendre — Fenchel transformation 449
Legendre, A. M. 28 58
Lehmann, E. L. 94 104 149 226
Leipus, R. 576 629 630
Lenic, E. 123 143
Leroy, A. M. 29 61 387 402
Leslie, J. R. 247 248 255 274 275 289
Leverage 395
Levine, D. N. 499 510
Lewis, T. 4 17 22 29 44 49 150 22 412 438
Li, S. H. 249 255 559 566
Liang, T C. 241 242 253 255
Liberman, U. 255
Lieberman, G. J. 41 50
Lien, D. D. 213—215 226
Life distributions 325
Life-testing experiments 14 15 30 150 337 338 355 361
Life-time distributions 3
Lightly trimmed mean 168
Likelihood function 16
Likelihood ratio ordering 89 91 95 96 98 99 102
Likes, J. 416 438
Lilliefors, H. W. 43 58
Lin, G. D. 119 122 144 217 218 226 257 288 289 294 295 297 299 301—307 309- 311 559 566 569
Lindgren, G. 12 23 40 58 330 332
Linear discriminant analysis 42
Linear estimators 149 499
Linear functional 344 369 448
Linear invariant estimation 31
Linear models 350 360 387 401 500
Linear programming 28 107 350
Linear regression model 488 505 508
Linear trend 547 548
Linear-exponential distribution 32 200
Linkage 510
Linnik, Yu. V. 11 12 45 57 247 255 279 288
Lipschitz condition 472
Littlewood, J. E. 75 87
Lka, O. 35 57
Lloyd, E. H. 13 23 30 58 149 226
Lo, A. W. 487 511
Location parameter 30 105 112 115 149 179 295 404 416 419 426 441 449 499 518
Location-scale family 13 336 343 350
Location-scale transformation 135
Lockhart, R. A. 18 23 45 58
Log concave density 95 97
Log — Weibull distribution 31
Log-concavity 7 21 46 91 92
Log-gamma function 451
Log-logistic distribution 32 153 204 205 208 210 218
Logarithmic distributions 300
Logarithmic moments 524 526 536
Logistic distribution 8 26 32 138 152 153 177 216—218 268 269 272 275 277—279 297—301 404 442 532
Loglikelihood function 325
Lognormal distribution 26 29 152 153 172 276 279
Loh, W. Y. 444 462
Lomax distribution 153 203 210 216—218 532
Lombard, F. 605 630
Lopez Blazquez, F. 566
Lorenz ordering 75 76 78 79—83 85 86
Lower bounds 109
Lower record times 517
Lower records 19 77 78 81 82 493—495 517 559
Lower-case probability 375 376 379 382
Ludwig, O. 32 58 119 121 144
Lugannani, R. 449 462 476—478 483
Lurie, D. 41 58 66—68 71
Lynch, J. 92 101 104
m-component mixed random variable 215
M-estimates 18 448 464 465 479
M-statistics 279
Ma, C. 463 464 466 468 470 472 474 476 478—484 492 512
Maag, U. R. 274 287
Mack, Y. D. P. 469 474 483
MacLaren, M. D. 67 71
Maddala, G. S. 29 58
Madreimov, I. 271 272 289 295 310
Maguire, B. A. 458 462
Mahalanobis, P. C. 387 402
Mahiat, H. 561 563
Mahmoud, M. A. W. 184 190 192 101 211 226 227 293 310
Mahmoud, M. R. 212 227
Majonzation 100 101
Major flood 441
Major, P. 581 584 590 629 632 636 664 687
Malik, H. J. 32 46 49 58 151—153 155—157 159 162 170 174 191 194 200 201 203—205 218 221 223 226 292 297 301 305 308 310 411 438
Mallows, C. L. 109 111 117 144 293 310 558 563
Malmquist, S. 17 23 69 258 269 289
Malov, S. 555 562 566
Mann, N. R. 16 23 30 31 59 150 226
Maple program 11
Marcus, M. B. 321 332
Mardia, K. V. 45 59
Margaritescu, E. 118 144
Margolin, B. H. 46 59
Markov chain 7 26 522 529 533 535 539 542 545 546 550
Markov process 47
Markov property 522 529 544
Markov sequences 534 544 545
Markov structure 522 527
Markov times 551
Markovian relationship 445
Marohn, F. 329 331 332
Marron, J. S. 467 484
Marsaglia, G. 67 71 251 255
Marshall, A. W. 101 104 108 134 144 263 289
Martingale 355 492 524 536 542
Martingale argument 380
Martingale properties 551
Martingale sequences 551
Mason, D. M. 574 575 582 583 587 588 605 628 630 637 653 654 656 667 671 674 685 686
Mason, R. L. 41 58 67 71
Massart, P. 581 628 640 687
Mathai, A. M. 33 45 59 389 402
Mattner, L. 218 225 300 310
Matusita, K. 56
Maurer, W. 46 59
Maximal deviation 508
Maximal order statistics 529
Maximum likelihood estimates 16 25 28—31 404 415 416 426 447 547
Maximum sequence 375
Maxwell, A. E. 43 58
McCabe, G. P. 27 59
McCullagh, P. 449 462
McDonald, L. I. 500 512
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