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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
McIntyre, G. A. 499 512
McKinlay, A. C. 488 511
McLaughlin, D. H. 29 63 149 228
Mean absolute deviation from median 29
Mean range 39
Mean remaining life function 236
Mean residual life 248 365 367
Mean square error 18 345 354 362 416—419 421—426 460
Mean value theorem 471 642
measures of central tendency 27 28 348 358
Measures of dispersion 27 28
Median 27 29 79 150 155 203 204 279 348 463 468
Median Filter 45
Meeden, G. 295 308
Meeker, W. Q. 35 54
Mehra, K. L. 508 512
Mehta, M. L. 42 59
Meier, P. 349 371
Mejzler, D. G. 329 332
Melamed, J. A. 45 57 264 277 288
Melmck, E. L. 151 155 226 291 310
Menon, M. V. 274 289
Meteorology 25 39
Method of induction 21
Midrange 27 29 279
Miintz — Szasz lemma 294 299 306
Miintz’s theorem 266
Miller, J. E. 547 559 569
Miller, L. H. 44 59
Mimmach, G. 92 101 104
Mimrnax method 28
Minimal sufficient statistic 339
Minimum mean-square-error estimators 31
Minimum variance unbiased estimator 416 443
Mismatches 510
Mitra, S. K. 402
Mitrinovic,D. S. 303 310
Mixed-effects models 336 357 359
Mixed-rank statistics 352 357 487
Mixture 86 122 151 543
Mixture distribution 100 130 134
Mixture of -schemes 549 554
Mixture of normal distributions 554
Mixture of two exponential distributions 153 212
Model building 253
Modified geometric type distributions 285
Modified signed log likelihood ratio 476
Modified uniform quantile function 653
Modified uniform quantile process 653 657
Mogul’skii, A. A. 675 687
Mogyorodi, J. 23
Mohan, N. R. 255
Mohie El — Din, M. M. 184 190 192 202 211 216 219 226 227 293 307 310
Molchanov, S. A. 562
Moment generating function 184 190 445
Monguti, S. 32 50 120 121 125 144 302 310 531 566
Monitoring sequences 380
Monotone failure probability 105
Monotone failure rate 105 329
Monotone likelihood ratio property 91 100
Monotonic stochastic process 248
Monotonicity hypotheses 380
Monte Carlo approximation 454
Monte Carlo simulation 65 443 448
Moore, A. H. 29 30 43 55 56 64
Moore, D. S. 27 59
Moothathu, T. S. K. 185 227
Moreno Rebollo, J. L. 566
Mori, T. 375 377 384 559 569
Morrison, D. F. 43 59 225 512
Mosler, K. 86
Mosteller, F. 29 30 56 59 150 226 501 512
moving averages 45
Moving maxima 45
Moving medians 45
Moving minima 45
Moving order statistics 45 46
Mudholkar, G. S. 278 279 287
Mueller, D. W. 584 630 635 687
Muentz, C. H. 294 310
Multi-time parameter empirical bridge process 623
Multidimensional concomitant model 507
Multinomial distribution 26 70
Multiple analysis of variance 42
Multiple comparison 25 36 37
Multiple decision procedure 38
Multiple factor analysis 41
Multiple outlier model 18 404 412 413 415 416 421 426
Multiple range procedure 38
Multiple shape outliers 416 417 419 422 424
Multiplicative model 492
Multivariate beta distribution 370
Multivariate central limit theorem 662
Multivariate exponential distributions 261
Multivariate normal distribution 42 45 47 341 342 351 490 491 507
Multivariate order statistics 47
Multivariate records 558
Multivariate tolerance regions 35
Multivariate total positivity of order 2 492
Murphy, R. B. 34 35 59
Muttlak, H. A. 500 512
Nadaraya, E. A. 469 483
Nagar, A. L. 42 63
Nagaraja, H. N. 3 5 7 11 17 19—23 26 27 47 48 51 59 65 70 71 80 86 106 119 137 138 142 144 153 154 222 225 231 254 255 257 263 279 282 285 286 289 292 305 308 353 416 420 438 487 488 490 492—494 496 498 500 502 504—506 508 510—512 515—517 530—532 545 559 560—563 566
Nair, K. R. 117 144
Nakano, K. 35 50
Nanda, D. N. 42 59 60
Nassar, M. M. 212 227
Natanson, I. P. 294 310
Nayak, S. S. 231 251 255 560 567
Nearest neighbor (NN) method 353
Nearly best linear unbiased estimation 31 149
Negative binomial distribution 26 541
Negative binomial form 4
Negative Pareto distribution 136
Nelson, L. S. 35 60
Nelson, P. I. 14 23 36 57
Nelson, W. 16 23 30 60 150 227
Neuts, M. F. 516 526 567
Nevzorov, V. B. 19 23 45 47 60 487 507 511 515—520 522 524 526 528 530 532- 534 536—544 546—564 566—568 570
Nevzorova, L. N. 555 556 568
New Better than Renewal Used in Expectation (NBRUE) 367—369
New better than used (NBU) 27 93 260 264 267 269 275 282 304 366
New better than used in expectation (NBUE) 367 368
New Worse than Renewal Used in Expectation (NWRUE) 367
New worse than used (NWU) 27 260 264 267 269 270 275 282 304 366 368
New worse than used in expectation (NWUE) 367
Newby, M. J. H. 70 71
Newcomb, S. 29 60
Newman — Keuls test 37
Newman, D. 37 60
Neyman — Pearson theory 326
Neyman, J. 64 144
Ni Chuiv, N. 500
Nicolae, T. 118 144
Nikoulina, V. N. 568
Nikulin, K. 559 569
Nodes, T. A. 45 48
Non-lattice distribution 278
Non-linear regression 28
Non-overlapping mixture model 214
Noncentral distributions 389
Nonclassical records 517 534
Nonhomogeneous Poisson process 545 560
Nonparametric bootstrap 443 444
Nonparametric estimator 354
Nonparametric procedures 576
Nonparametric regression 336 358
Nonparametric regression function 353
Nonparametric statistics 25 149 336 644
Nonstationary records 545
Normal distribution 17 26 28 30—32 37—39 41 43—45 99 137 138 151—153 155 173 174 272—274 292 297 305—307 321-323 325 348 354 362 388 394 442 447 449 453—459 467 468 470 472—174 479 489 493 495 498 503 505 506 509 510 518 524 525 532 537 543 547 554 555 595 600 661 672 673
Normalized extremes 329
Normalized moments 151
Normalized ranks 573 574 599
Normalized sequential ranks 573 574 604 606 607 609
Normalized spacings 16 337 366 442 444—446
Nuisance functionals 336
Numerical error propagation 151
O-statistics 467
Obretenov, A. 322 331
Ogawa, J. 30 31 60
Oja, H. 127 144
Olkin, I. 39 47 53 54 60 101 104 108 117 144 263 289
Olympic Games 548
Omey, E. 545 564
Oosterhoff, J. 614 617 630
Operator method 21
Optimum quantiles 31
Ord, J. K. 45 51 60 253—255 285—287 309
Ordered roots 42
Orthogonal designs 397
Orthogonal inverse expansion 33 530
orthogonal matrices 388 390
Orthogonal transformation 273
Outlier tests 44
Outliers 4 17 18 25 28 29 39 41 46 150 168 316 325 343 387 388 395—398 401 413 416 421
Owen, D. B. 35 60
O’Connell, M. J. 500—503 511 512
O’Quigley, J. 204 227
O’Reilly, N. 574 582 630 653 654 687
p-norm bounds 33 124
Padgett, W. J. 559 565
Paired t-test 488
Palmieri, F. 46 60
Panchapakesan, S. 33 38 39 54 561 562
Pancheva, E. 324 332
Parabolic distribution 153
Parallel system 329
Pardzhanadze, A. M 576 614 619 629 630
Parent, E. A. Jr 605 630
Pareto distribution 8 13 14 18 26 32 79 82 86 136 152 153 193 194 197 198 217—221 259 268—270 297—301 307 403 404 406 411—413 415 416 421 426 442
Parrish, R. S. 31 60
Partial likelihood function 355 356
Partial likelihood score test statistics 356
Partial sum processes 577 578 619 664
Partial sums 353
Partitioning method 69
Parvez, S. 175 190 217 218 221 226 297 300 310
Parzen, E. 465 466 483 591 630 641 642 644 645 687
Patel, J. K. 35 60
Patil, G. P. 45 51 60 253—255 275 285—287 289 309 500 511 512
Pearson K. 30 39 43 60 160 208 227 473
Pearson, E. S. 36 60 118 143 458 462
Pederzoli, G. 45 59
Peirce, B. 29 60
Penalty function 510
Penkov, B. 567
percentile 442 509
Percentile estimator 44
Percentile points 349
Permanent 20 21 46 403
Permutation 116 561
Perturbed sample quantile 472 474
Petrov, V. V. 562 567 568
Petunin, Y I. 271 272 289 295 310
Pfeifer, D. 524 526 544 546 549 553 559 560 568
Pfeifer’s records 293 546
Pflug, G. 564
Picard, D. 577 585 593 629 630
Pickands, J. 322 332 442 456 462 545 560 568
Pierard, M. 561 563
Pike, M. C. 205 227
Pillai, K. C. S 43 60
Pinhas, M. 512
Pinned Brownian sheet 591
Pinsker, I. Sh 4 24
Pinsky, M. 321 332
Pittel, B. G. 559 564
Pivot 358
Plackett, R L. 119 125 144 302 310
Pledger, G. 46 60 101 104
Plotting positions 40 41
Point prediction 25 35
Point process 47
Poisson distribution 26 284
Poisson process 251—253 274 537 545
Poliak, M 293 310
Polya frequency function of order 2 492
Positive dependence 93 97
Positively quadrant dependent 94 492
Positively regression dependent 94
Posner, E. C. 150 224
Postelnicu, T. 144
Power function distribution 8 13 14 32 79 82 84 86 123 135 152 153 190 216—218 259 268—271 298 300—302 304 307 404
Prediction intervals 25 35 36
Prediction of records 559
Prentice, R. L. 30 57
Principal components 41 42
Probabilistic approach 21
Probability generating function 521 522
Probability paper 25 31 40 44 327 328
Product-limit (PL) estimator 349 368
Progressive censoring 15 16 356
Progressive Type — I censoring 16
Progressive Type — II censoring 16 41 68 69
Projection method 126 127
Proportional hazard model (PHM) 354
Proschan, F. 26 33 46 49 54 60 92—96 98 101—104 118 134 136 137 143 144 364 368 371 492 510
Provost, S. B. 389 402
Pseudo-samples 444
Pseudovariables 354
Public health issues 441
Pudeg, A. 260 289
Pun, M. L. 62 339 359 372 468 469 471 472 483 484 543 563 565 566
Pun, P. S. 239 255 266 283 284 289
Puthenpura, S. 179 223
Pyke, R. 44 60 442 446 462
Q — Q plots 18 41
Quadratic forms 395 398
Quadratic trend 547
Quality control 25 36 39
Quantile density function 642
Quantile estimation 443
Quantile function 75 106 113 116 125 127 338 341 358 463 639 643
Quantile process 575 575 582 631 638 647 648 653 655 656 659 661 663 675
Quantile transformation 470
Quantiles 33 91 97 105 106 126 127 135 136 326 337 339 341 342 344 347 350 442 463 69 472 475 478—480 482 495 505 508 636 662
Quartile deviation 27
Quasi-median 27
Quasi-midrange 27
Quasi-parametric model 359
Quasi-range 33 124 125 161
Quasidiagonal forms 390
Quesenberry, C. P. 35 60
Queuing theory 253
Quine, M. P. 476 484
Qureishi, A. S. 178 224
R-estimators 352
r-ordering 134
Rabonomwitz, M. 70 71
Radioactive decay 39
Raghavarao, D. 38 52
Rahman, M. 138 143 266 286 296 308
Rainfall 515
Rainville, E. D. 197 227
Ralescu, S. S. 468 469 471 472 474 483 484
Ramachandran, B. 45 60 231 232 234 235 239 256 259 262 266 283 289
Ramberg, J S. 41 60 68 71
Ramirez, D. E. 18 23 387—390 392 394 396 398 400 402
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