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Meeker W.Q., Escobar L. — Statistical Methods for Reliability Data |
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Предметный указатель |
Hodgson, T.J. 386
Hooper, J.H. 493 578 637
Hosmer, D.W.Jr. 284
Howes, M.J. 489
Hoyland, A. 388 389 420
HPP 407
HPP, relationship to exponential 80 154 407
HPP, test for NHPP alternatives 409—411 420
Hu, J. 606
Hudak, S.J.Jr. 15
Husebye, E. 42
Huyett, M.J. 149 285
Iannino, A. 420
Iles, T.C. 118 197 284
Independent, increments 406
Independent, times between recurrences 408
Inference, basic ideas 48
Influence analysis 460 (see also “Sensitivity analysis”)
Inspection data see “Censoring interval”
Inspection interval, choosing 10 169
Interaction 449 485—486 514 547
Inverse power relationship 480—484
Inverse-Gaussian (IGAU) distribution 103
Inverse-Gaussian (IGAU) distribution, ML fitting 260
Ireson, W.G. 380
Isham, V. 420
Jacobian 619
Jeng, S.L. 228 627
Jensen, F. 488 521
Jensen, K.L. 559
Johnson, N.L. 42 93 67 117 118
Joyce, W.B. 487
Kalbfleisch, J.D. 22 42 267 271 284 312 460 606
Kalkanis, G. 479 639
Kaplan — Meier estimator 67
Kaplan, E.L. 67
Kececioglu, D. 521
Keiding, N. 67
Kempthorne, O. 168 284
Kennedy, W.J. 93
Kielpinski, T. 558
Kim, T. 521
Kimber, A.C. 420
Klinger, D.J. 380 473 477 486 487 488
Klion, J. 389
Knezevic, J. 339
Koenig, R.H. 320 578
Kolarik, W.J. 458
Kordonsky, Kh, B. 22 339
Kotz, S. 93 117 118
Kozin, F. 15 260 639
Kozlov, B.A. 389
Kulldorff, G. 42 168
Kuo, L. 420 423
Kuo, W. 521
Kushary, D. 302 312
Kutner, M.H. 460
Lagakos, S.W. 42
Lai, T.L. 284
Laidler, K.J. 473
Landers, T.L. 458
Laplace trend test 409
Largest extreme value (LEV) distribution 86
Larntz, K. 559
Lawless, J.F. 4 22 42 67 149 167 168 267 268 271 284 294 312 399 410 420 445 460 606
Le Cam, L. 169
Lee, L. 395 420
Lehmann, E.L. 168 622
Lerch, C.F. 586 601
Levy, S.C. 489
Lewis — Robinson trend test 409
Lewis, E.E. 389
Lewis, P.A.W. 420
Li, G. 68
Lieberman, G.J. 149
Lieblein, J. 4
Life table estimate 64
Likelihood, constant of proportionality 37 39
Likelihood, contribution, general data 40
Likelihood, contribution, interval-censored 37
Likelihood, contribution, left-censored 38
Likelihood, contribution, randomly censored 41
Likelihood, contribution, right-censored 38 174
Likelihood, contribution, total 39
Likelihood, correct 165 169 275 277
Likelihood, curvature 162 237 621
Likelihood, density approximation, inadequacy of 169 277 284
Likelihood, empirical 68
Likelihood, graphical display 158 255
Likelihood, grouped data 42
Likelihood, inference 36 42
Likelihood, location-scale distribution 174
Likelihood, non log-location-scale distributions 255
Likelihood, nonregular models 36 623
Likelihood, poorly behaved 255 265—266 280
Likelihood, profile, function of parameters 182—184
Likelihood, profile, parameters 180—182 265 597
Likelihood, ratio test 185 627
Likelihood, ratios 626
Likelihood, regular models 36 622
Likelihood, regularity conditions 621—623
Likelihood, relationship to sample size 158
Likelihood, specification 36—41
Limited failure population (LEP) 263 271 284
Lindley, D.V. 363
Lindsey, J.K. 168
Lindstrom, M.J. 326
Liou, K.-Y. see “Joyce W.B.”
Liu, J.P. 578
Liu, S. 118 284
Log likelihood, contribution 157 (see also “Likelihood”)
Log likelihood, large-sample approximation 186
Log likelihood, partial derivatives 197
Log likelihood, quadratic approximation 186 628
Logarithms base 10 82 127
Logistic, distribution 88
Logistic, distribution, likelihood 174
Logistic, transformation 56
Loglogistic distribution 88
Lognormal (LOGNOR) distribution 82
Lognormal (LOGNOR) distribution, comparison with Weibull 176 257 259 269
Lognormal (LOGNOR) distribution, estimation with given 192
Lognormal (LOGNOR) distribution, induced failure time in ADT analysis 573
Lognormal (LOGNOR) distribution, likelihood function 174
Lognormal (LOGNOR) distribution, quantiles ML variance factors 243
Lognormal (LOGNOR) distribution, special case of EGENG 258
Lognormal (LOGNOR) distribution, three-parameter 111 273—274 277 279—283
LSINE 251
Lu, C.J. 340 578 639
Lu, J.C. 578
LuValle, M.J. 13 14 320 460 477 487 489 522 529
Maekawa, K. 340 578
Mains D.E. 14
Maintainability 370
Maki, K. 340 471
Makov, U.E. 118 284
Malcolm, R.C. 15
Mann, N.R. 473 529
Markov model 388—389 578
Martin, J.W. 460
Martz, H.F. 363
Maximum likelihood see “ML estimation”
McCool, J.I. 461
McDonald, G.C. 380 606
MCF 395—405
MCF, comparison 404—406
MCF, confidence intervals 398
MCF, confidence intervals, adequacy of 402
MCF, NHPP 406
MCF, nonparametric estimate 397
| MCF, parametric estimate 414—4 15
McPherson, J.W. 485
Mead, K.E. 487
Mean cumulative function see “MCF”
Mean time between failures (MTBF) 394 408
Mean time to failure (MTTF) 77
Medlin, C.H. 144 193 310 633 634
Mee, R. 302 312
Meeker, W.Q. 4 6 13 14 16 22 49 67 116 161 169 192 197 228 241 244 251 284 299 302 306 309 312 320 340 442 460 517 519 529 535 552 559 561 578 584 586 590 592 594 597 601 607 625 627 639
Meeter, C.A. 559
Meier, P. 67
Menendez, M.A. 380 488
Menten, T. 605
Mercer, A.D. 489
Military Handbook test statistic 409
Mitchell, J.P. 487
Mixture distributions 115—119 284 583
ML estimation, asymptotic normality 237 625
ML estimation, basic concepts 153—159
ML estimation, covariance matrix, functions of location-scale parameters 242
ML estimation, covariance matrix, log-location-scale distributions 240
ML estimation, covariance matrix, relationship to Fisher information 237
ML estimation, covariance matrix, relationship to log likelihood curvature 237 621
ML estimation, given parameter 192—197
ML estimation, large-sample approximations 237
ML estimation, mixture distributions 284
ML estimation, nonparametric 53
ML estimation, standard error, approximate 237
ML estimation, standard error, estimate of 50 55 166 187 189 193 436—438
ML estimation, theory 168 621 622—628
ML estimation, variance, approximate 236
ML estimation, variance, factors for, complicated censoring 251
ML estimation, variance, factors for, functions of location-scale parameters 242
ML estimation, variance, factors for, hazard 246
ML estimation, variance, factors for, multiple censoring 250
ML estimation, variance, factors for, quantiles 243
ML estimation, zero failures 167 195
Model adequacy 501 604
Moeschberger, M.L. 389
Morgan, B.J.T. 93
Morgan, C.B. 41 633
Morgan, D.V. 489
Morse, P.N. 597 601
Multinomial, cdf 33
Multinomial, failure-time model 32
Multiple causes of failure 35 59 382 523 630 634
Multiple causes of failure, ALT 523 531
Multiple causes of failure, incomplete information 385 525 591
Multiple causes of failure, series model 385
Murray, W.P. 340 578 643
Murthy, D.N.P. 606
Musa, J.D. 420
Nachtsheim, C.J. 460
Nadeau, C. 399 420 606
Nair, V.N. 61 67 149
Nakada, Y. 380 488
Nakamura, T. 118
Nash, F.R. see “Joyce W.B.”
Nash, J.C. 489
Naylor, J.C. 284 364
Nelson — Aalen estimator, cumulative hazard 67
Nelson — Aalen estimator, relation to hazard plot 149
Nelson — Aalen estimator, theory 67
Nelson, W. xviii 8 12 22 67 118 149 168 171 193 195 200 241 244 251 284 312 323 339 340 389 395 397 398 399 404 420 429 442 443 452 460 472 473 487 488 519 521 522 523 529 547 548 549 550 558 559 578 593 596 601 625 630 632 635 636 638
Neter, J. 460
Neufelder, A. 420
NHPP 407
NHPP, Bayesian methods 420
NHPP, confidence intervals 416
NHPP, generating pseudorandom realizations 417
NHPP, loglinear model 407
NHPP, ML estimation 412
NHPP, power-model 407
NHPP, prediction 416
Nikulin, M. 460
Nonhomogeneous Poisson process see “NHPP”
Nonparametric bootstrap see “Bootstrap nonparametric”
Nonparametric estimation, confidence interval see “Confidence intervals”
Nonparametric estimation, cumulative hazard 67
Nonparametric estimation, failure probabilities, left truncated 268
Nonparametric estimation, failure probabilities, multiply censored 52 57
Nonparametric estimation, failure probabilities, right truncated 270
Nonparametric estimation, failure probabilities, singly censored 47
Nonrepairable units 19
Normal (NOR) distribution 80 452
Normal (NOR) distribution, applications 81
Normal (NOR) distribution, likelihood function 174
Numerical methods 442
Oakes, D. 110 460
Observational data 267 606
Odeh, R.E. 192
Okumoto, K. 420
Ord, K.J. 619
Ostrouchov, G. 197 627
Owen, A. 68
Owen, D.B. 192
O’Connor, P.D.T. 59 189 630
P-P plot 444
Pantula, S.G. 578
Parallel system, cdf 374
Parallel system, component dependency 375
Parallel system, ML estimation 381
Parallel system, reliability as function of component reliability 375
Parameter, function of explanatory variables 429 (see also “Regression”)
Parameter, guarantee see “Threshold”
Parameter, location 78
Parameter, scale 78
Parameter, shape 82 85 89 110 136
Parameter, threshold 111
Parameterization 3 77 90 181 285
Pari count 372
Parida, N. 68
Paris-rule 319
Pascual, F.G. 250 594 601
Patel, J.K. 312
Peacock, B. 93 118
Pecht, M. 420
Peck, D.S. 487
Performance degradation 323 325
Petersen, N.E. 521
Peto — Tumbull estimator 65 68
Peto, R. 68
PH model 455—458 460
PH model, applications in reliability 458
PH model, not Weibull baseline 457
PH model, relationship to SAFT 457
PH model, semiparametric 458
PH model, time transformation 456
PH model, Weibull baseline 457
Phadke, M.S. 605
Phillips, M.J. 22 420
Pinheiro, J.C. 326 567
Pitfalls, ALT data analysis 522—528
Pitfalls, life data analysis 22 601
Planning accelerated life test see “ALT planning”
Planning life tests see “Test planning”
Planning values 232 535 548
Planning values on probability paper 233
Point process model 394 420
Poisson distribution 195 407
Poisson process 406
Poisson process, homogeneous see “HPP”
Poisson process, nonhomogeneous see “NHPP”
Pollino, E. 489
Posterior see “Bayesian methods”
Prediction intervals, approximate, analytical 312
Prediction intervals, calibration 300 312
Prediction intervals, complete lognormal data 299
Prediction intervals, coverage probability 293
Prediction intervals, exact simulation methods 312
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