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Balakrishnan N., Rao C.R. — Handbook of Statistics (Vol. 17): Order Statistics: Applications
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Название: Handbook of Statistics (Vol. 17): Order Statistics: ApplicationsАвторы: Balakrishnan N., Rao C.R. Аннотация: Hardbound. Volume 17 of the Handbook of Statistics is the concluding volume covering Order Statistics. Dealing primarily with Applications, it is divided into six parts as follows: Results for Specific Distributions, Linear Estimation, Inferential Methods, Prediction, Goodness-of-fit Tests and Applications. 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.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1998Количество страниц: 712Добавлена в каталог: 10.04.2010Операции: Положить на полку |
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LaRiccia, V.N. 206 227 Lattice 541 Law of Large Numbers 433 Lawless, J.K. 3 6 9 43 56 61 63 79 163 328 440—443 503 Least absolute error estimator 232 238 Least mean square (LMS) optimization 538 Least squares 465 471 Least squares projection 14 19 Least upper bound 541 542 Least-square estimation 241 Least-square technique 285 624 Least-squares calculations 227 Least-squares criteria 621 Least-squares estimator (LSE) 164 238 246 247 251 272 316 Least-squares theory 161 216 Lee, Y.H. 615 624 Left censored 478 Left truncation 116 Lehman, Eugene H. 464 Lemon, G.H. 283 Leone, F.C. 178 Leslie, J.R. 160 163 462 463 Leung, M.Y. 127—130 Levanon, N. 652 663 level of significance 277 Levine, D.N. 338 Lewis, T. 163 220 Liao, G.-Y. 616 Lieberman, G.J. 164 476 498 Lieblein, J. 66 76 79 Life distributions 193 195 199 300 Life span model 87 Life spans 283 Life test 315 478 Life testing 444 509 Life-time model 128 Lifetesting 3 6 7 25 26 45 55 56 63 82 163 196 431 Lifetimes 5 9 431 Likelihood equation 319 321 324 Likelihood function 7 9 12 13 20 111 147 319 324 Likelihood ratio approach 12 Likelihood ratio test 12—14 17—19 659 Likelihood-based methods 226 Likes, J. 386 441 443 Limiting theorems 322 Lin, C.C. 490 Lin, J.-H. 628 Lindley, D.V. 22 Line regression 455 517 521—523 Linear convolution 604 Linear digital filters 604 Linear estimation 61 Linear filter 525 529 547 549 550 555 564 593 618 626 Linear FIR filters 625 Linear functional 222 Linear LMS algorithm 595 Linear model 160 206 238 248 250 271 278 Linear operators 593 Linear point predictors 448 Linear prediction 434 545 Linear predictor 435 437 513 517 Linear programming 238 Linear programming techniques 232 Linear regression model 231 237 Linearly separable threshold function 578 Lingapparah, G.S. 445—447 Liniger, L. 10 Lloyd, T.H. 77 106 161 183 216 285 358 360 365 435 481 621 LMS adaptive optimization method 553 LMS algorithm 591 592 594 Local alternatives 272 273 Local linearization theorem 191 250 Local maximum likelihood estimators (LMLE) 303 Local monotonicity 611 Locally monotonic of length m 566 Location 215 220 221 227 501 526 562 567 Location and scale family 315 324 439 Location and scale parameter families 475 Location distribution 243 Location estimators 222 Location measures 228 Location model 239—241 Location parameter 63 76 86 104 105 128 143 144 147 150 152 159 160 161 170 177 183 186 190 191 196 205 207 216 217 237 341 358 364 370 374 443 453 476 500 502 503 506 664 Location-scale families 227 317 440 446 448 500—502 Location-scale family 433 441 Location-scale models 217 219 Lockhart, R.A. 283 460 463 467 468 Log inverse gamma prior 445 Log lifetime distribution 504 Log — Weibull distribution 127 Log-concave distribution 160 166 179 Log-gamma distribution 61 63 67 Log-gamma regression model 63 Log-likelihood function 9 16 285 Log-logistic distribution 26 295 Log-normal clutter 665 Logistic distribution 26 86—88 91 102 127 129 130 159 166 168—171 179 195—197 340 341 364—366 368 456 460 467 477 488 Logistic function 127 Logistic model 128 lognormal 294 296 307 643 647 666 Lognormal distributed 505 Long-tailed distributions 222 226 231 Longbotham, H.G. 611 624—626 Longer tails 219 Longo, M. 664 666 Lops, M. 657 664 666 Lord, E. 218 loss 432 Lot tolerance percent defective (LTPD) 498 Lot tolerance reliability level (LTRL) 502 Lower bound 541 Lower confidence bound 329 330 332 333 Lower confidence limit 56 57 Lower prediction intervals 445 447 Lower specification limit 498 500 508 Lu, K.L. 231 M-dimensional student 385 M-DPCM 550 M-DPCM decoder 552 Malik, H.J. 117 365 Mann, N.R. 43 61 200 316 317 371 437 440 487 501—503 505 506 Maple V 110 Maragos, P. 628 Marginal likelihood estimators 244 Markov chain 655 Marron, J.S. 224—226 Martin, W.K. 337 Martiz, J.S. 227 Masuda, K. 499 Max filter 616 max/median filters 618 Maximum flood levels 311 Maximum gap 319 Maximum likelihood 432 438 Maximum likelihood (LM) estimates 518 521 523 562 658 Maximum likelihood method 116 Maximum likelihood predictor (MLP) 439 Maximum of the order statistic 659 Maximum-likelihood estimation 227 McCool, J.L. 308 McDonald, L.L. 338 McIntyre, G.A. 337—339 McLaren, C.G. 460 467 McLaughin, D.H. 219 McLoughlin, M.P. 613 618 Mead, E.R. 183 195 196 201 Mean absolute error 599 Mean absolute error (MAE) criterion 628 Mean absolute error (MAE) estimator 564 Mean absolute error formula 593 Mean failure time 431 Mean filter 547 Mean life-time 26 79 Mean remission time 311 Mean square errors 128 148 149 161 168—170 177 226 316 317 434 435 437 438 517 518 530 621 Mean square prediction error 439 Mean value theorem 254 265 Mean vector 621 Means 5 26 45—47 55 62 63 66 77 86 91 97 104 115 117 125 128 130 136 137 144 174 183 201 206 207 216 217 219 223 224 226 227 241 242 249 273 287 288 297 316 318 332 37 338 340 343 346 347 349—351 359 365 387 402 446 454 457 459 460^62 469 471 485 497 498 500 514 515 518 556 561—564 615 666 Measure of association 230 Measure of fit 454 Measure of skewness 228 Mechanical filters 604 Medial Axis Transform (MAT) 635 Median 129 162 219 221 237 238 284 343 345—347 363 364 368 439 483 506 550 560 562—564 565 569 574 576 606 648 Median deviation 223 Median Filter 550 557 559—571 576 580 606 609 612 614—618 627 632 633 636 Median filter generalization method 580 Median filter roots 609 Median filter windows 607 Median smoothing 526 Median unbiased 439 Medical data 230 Medical radiographic systems 614 Mental ability 159 Method of error diffusion 547 Method of moments 115 116 229 Midrange 127 129 Midrange filter 619 Military 544 Military imaging hardware 614 Min filter 616 Minimal sufficient statistic 9 Minimax approach 190 Minimum mean square error 167 168 517 594 Minimum mean square error unbiased estimator 657 Minimum of the order statistic 659 Minimum variance 341 Minimum variance unbiased (MVUE) 285 Minimum-variance estimators 217 Minimum-variance unbiased estimator 218 Minkowski addition 629 MINPACK routines 148 Mixture of exponential pdf's 443 ML estimates 662 mle of 442 Model order (complexity) reduction 588 Modified estimates 300 Modified estimators 83 306 Modified maximum likelihood equations 286 Modified maximum likelihood estimators (MMLE) 283 285 287 Modified mean filter 613 Modified moment 283 Modified moment estimators (MME) 287 288 291 293 297 306 311 Modified nearly best linear estimator (MNBLE) 358 Modulo N addition 532 Modulo N operation 532 moment 132 284 Moment estimating equations 293 Moment estimators 115 Moment generating function 61 64 130 135 Moment matrix 536 Monotone property 256 Monte Carlo percentage points 465 Monte Carlo process 148 Monte Carlo sampling 465 Monte Carlo simulation 167 168 205—207 397 488 505 Monte Carlo study 492 monte-carlo 387 Monte-Carlo methods 389 454 Moon, Y.I. 226 Moore, A.H. 159 169 170 195 283 Morphological filters 628 Morphology 628 Morrison, H.L. 223 mOS detector 659 660 Mosteller's theorem 194 203 Mosteller, F. 183 187 194 476 Motion analysis 634 Moussa, E.A. 178 Moving median 616 Moving window 606 MSE 439 Mudholkar, G.S. 490 Multi-level median 569 Multinomial distribution 401 402 426 Multinomial expansion 388 Multiple correlation coefficient 517 518 Multiple linear regression 388 Multiply type-II 315 Multiply type-II censored samples 317 324 327 331 Multiply type-II censoring 319 326 Multistage median filters 617 Multivariate experiments 477 Multivariate hypergeometric distribution 446 Multivariate normal 515 516 519 521 Multivariate normal distribution 187 Multivariate samples 230 Multivariate statistics 215 Munoz, B. 513 Munro, A.H. 227 Munson, Jr., D.C. 635 Mura, R. 654 Muttlak, H.A. 338 MX-OS detector 663 N(0,1) 328 329 Naaman, L. 621 623 Nagaraja, H.N. 88 91 117 132 136 143 162—164 175 198 327 331 438 439 Nagel, K. 402 Nearly best linear estimator (NBLE) 358 Nearly best nearly unbiased linear estimator 160 166 179 Nearly best unbiased linear estimator 160 164 166 Nelson, W. 43 57 116 163 166 167 178 179 435—138 443 444 477—479 504 507 Neuman, C.P. 229 Neuvo, Y. 597 618 625 Newton — Raphson iteration 319 442 Newton's method 148 Neyman allocation 340 NiChuiv, V. 358 360 364 363 Nodes, T.A. 613 616 Non-Gaussian 525 Non-Gaussian environments 580 Non-informative prior 390 391 Non-linear estimators 161 166 171 179 180 203 Non-normal 221 Non-singular matrix 239 Noncentral 388 Noncentral chi-square distribution 273 Noncentral t distribution 203 204 207 Nonexceedance probability 223 Noninformative prior 20 382 384 444 445 Nonlinear filter design 638 Nonlinear filters 525 542 555 Nonlinear image filtering 605 Nonlinear prediction 448 Nonlinear smoother 559 Nonlinear time series 525 Nonparametric 444 Nonparametric confidence intervals 223 Nonparametric estimation 220 226 Nonparametric estimator 338 Nonparametric inference 223 379 Nonparametric prediction intervals 433 Nonparametric regression 216 normal 349 350 354 363 387 444 445 478 482 483 499 402 502 515 517 518 Normal approximation 503 Normal density 225 Normal distribution 62 127 128 131—133 159 160 163 164 166—170 174 201 207 217—221 223 226 227 246 247 269 297 340 342 446 456 460 461 463 475 477 480 484 486 488 491 492 498 500 504 505 507 Normal equations 242 Normal linear regression 383
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