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Lawless J.F. — Statistical Models and Methods for Lifetime Data
Lawless J.F. — Statistical Models and Methods for Lifetime Data



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Íàçâàíèå: Statistical Models and Methods for Lifetime Data

Àâòîð: Lawless J.F.

Àííîòàöèÿ:

Doubling as a reference work and as a textbook for advanced students, this book provides a unified treatment of the models and methods used to analyze lifetime data. Chapters concentrate on topics like: observation schemes, censoring, and likelihood; non-parametric and graphical procedures; inference procedures for parametric models; inference procedures for log-location-scale distribution; parametric regression models; semi-parametric multiplicative hazards regression models; rank-type and other semi-parametric procedures for log- location-scale models; multiple modes of failure; goodness-of-fit tests; and, multivariate and related analyses. Key concepts are illustrated with extensive examples from engineering and the biomedical sciences. Lawless teaches statistics and actuarial science at the University of Waterloo


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Èçäàíèå: second

Ãîä èçäàíèÿ: 2002

Êîëè÷åñòâî ñòðàíèö: 664

Äîáàâëåíà â êàòàëîã: 19.09.2008

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Owen, A, B.      88 551 601
Owen, D.B.      235 257 601
O’Brien, P.C.      587
O’Fallon, J.R.      587 .
O’Quigley, J      389 600 601
O’Reilly, F.J.      481 601
O’Sullivan, F.      109 137 601
O’Sullivan, M.      5 87
Paired data      264—265 391—392 498—500 523—524
Palacios, P.T.      578
Panjer, H.H.      594
Pareto distribution, generalized      43 45
Park, H.-L      428 601
Park, J.      597
Partial likelihood      61 349—350 552
Partial likelihood, efficiency      390 393
Pawitan, Y      525 545 601 604
Peace, K.      388 390 428 601
Pearson, E.S.      481 601
Pena, E.A.      137 329 470 471 485 486 579 590 601
Peng, L.      589
Pepe, M.S.      428 524 601 602
Performance measures      519
Persson, T.      257 602
Pessione, P.      389 601
Petersen, J.H.      523 602
Peterson, A.V.      137 455 602 603
Petkau, A J.      428 594
Peto, J.      388 428 602
Peto, R.      75 138 352 388 409 428 602
Petrosiari, V.      138 585
Pettitt, A.N.      389 602
Pfegibon, D.      589
Phadia, E.G.      137 586
Piantadosi, J.      200 602
Piecewise constant hazards (piecewise exponential) model      30—32 141 323—324 330 384—386 389 439—441 453—455 524
Piecewise polynomial models      172—174 200 387 389
Pierce, D.A.      201 260 267 389 469 470 483 485 486 580 589 594 602607
Pike, M.C.      39 40 140 187 188 201 455 602
Planning studies      71—74 200 252
Planning studies with exponential models      157—164
Planning studies with location-scale models      252—257 308—311
Planning studies with Weibull models      255—257 268
Pocock, S.J.      589
Poisson process      43 532
Polynomial hazard function models      32 172 200
Population-average effects      504—507
Power law model      271 278 299
Power of tests      158—164 254—255
Predictable process      567—568
Prediction      194 201
Prediction, Bayesian      199—201 209 266—267
Prediction, calibration      196—198 201
Prediction, pivotal quantities and      194—195 265—266
Prediction, plug-in method      194—195
Prediction, prediction intervals      194—195 203 265—267
Prentice, R.L.      6 29 39 40 44 75 248 258 265 312 313 317 329 370 379 388 389 392 397 408 409 411 415 428 430 455 456 498 516 523 524 552 575 579 581 586 590 593 602 603
Press, W.H.      555 603
Primary biliary cirrhosis      422—424 575
Pritscher, L.      137 389 608
Probability plots      99—109 137
Probability plots, classic      108—109
Probability plots, for exponential distribution      100
Probability plots, for extreme value and Weibull distributions      100—102 104—107
Probability plots, for log-logistic and logistic distributions      101 104
Probability plots, for log-normal and normal distributions      101—102 (see also “Graphical methods”)
Product integral      12—13 39
Product integral and lifetime models      13—14 60 84—85
Product-limit estimate      80 136
Product-limit estimate, and estimation of mean lifetime      98 137
Product-limit estimate, and Nelson-Aalen estimate      84—85 97
Product-limit estimate, as an m.l.e      83—85
Product-limit estimate, asymptotic properties      95—98 136—137
Product-limit estimate, plots of      81—82 93—94 98—99
Product-limit estimate, relationship to life table      129
Product-limit estimate, variance estimation      82 97
Proportional hazards (Cox) model      341—342 388
Proportional hazards (Cox) model, and competing risks      449—453
Proportional hazards (Cox) model, and log-rank test      346 388
Proportional hazards (Cox) model, and martingales      350—351 359—360 388 391
Proportional hazards (Cox) model, and maximum likelihood      348—351 384—389 396
Proportional hazards (Cox) model, and partiallikelihood      349—350
Proportional hazards (Cox) model, and piecewise-constaht hazards      384—386 389 453—455
Proportional hazards (Cox) model, comparison of distributions under      344—348 357—358 388 394—395
Proportional hazards (Cox) model, estimation of baseline distribution      352—354
Proportional hazards (Cox) model, estimation of regression parameters      342—343 363—370
Proportional hazards (Cox) model, fully parametric models      273 323—324
Proportional hazards (Cox) model, grouped data from      370—375 378—379 389
Proportional hazards (Cox) model, influence analysis      360—361
Proportional hazards (Cox) model, interval-censored data      387—389
Proportional hazards (Cox) model, misspecification      362 398—399
Proportional hazards (Cox) model, model checks      358—363 363—370 389 484—486
Proportional hazards (Cox) model, residual analysis      358—361 389 392—393
Proportional hazards (Cox) model, reverse time      397
Proportional hazards (Cox) model, stratification      354—355 391—392
Proportional hazards (Cox) model, ties in data      351—352
Proportional hazards (Cox) model, time-varying Covariates      355—358 388
Proportional hazards (Cox) model, truncated data      355 397—398
Proportional odds model      328 331
Proschan R      39 42 44 202 477 492 579 603
Pulmonary exacerbations      5 92—94 279—283 291—292 305—306 363—367 492—493 509—512 571
Pyke, R.      479 603
Quality of life      523 525
Quantile Plots      see “Probability plots”
Quantiles      9
Quantiles, function      100
Quantiles, nonparametric estimation of      93—95
Quantiles, parametric estimation of      167—170 295 300
Quantin, C.      484 603
Radiation effects      263 445—447
Ramlau-Hansen, H.      109 137 603
Ramsay, J.O.      577
Random effects      34 45 497—498 523
Rank statistic      348
Rank tests      402—420 428
Rank tests, comparison of distributions      402—420 428
Rank tests, counting process formulations      413—416 428
Rank tests, efficiency      416—417 (see also “Log-rank test” “Rank-based “Wilcoxon
Rank tests, with censored data      408—420
Rank-based estimation methods      401—402 428—429 432
Rank-based estimation methods, and counting processes      413—416 428
Rank-based estimation methods, and location-scale models      401—406
Rank-based estimation methods, and location-scale regression      420—428
Rank-based estimation methods, and proportional hazards regression      348—349
Rank-based estimation methods, with time-varying covariates      424—426 429
Rao, C.R.      539 545 603
Rayleigh distribution      see “Linear hazard function distribution”
Rayner, J.      469 470 485 603
Recurrent events      524 532
Regression models and methods      34—37 40 269—274 329—330 401—402
Regression models and methods, accelerated failure time (AFT)      270—271 320—321 329
Regression models and methods, additive hazards      273 325
Regression models and methods, and interval-censored data      387—389
Regression models and methods, conditional confidence intervals in      296 332—333 335
Regression models and methods, discrete data      382—383
Regression models and methods, exponential      35 332—333
Regression models and methods, extreme value and Weibull      270—273 296—303
Regression models and methods, generalized linear models      372—373 382—383
Regression models and methods, generalized log-Burr      312—317 319—320
Regression models and methods, generalized log-gamma      312—317
Regression models and methods, graphical methods      274—283 288—292
Regression models and methods, grouped data      370—381
Regression models and methods, in multivariate distributions      498—500 503—504
Regression models and methods, influence analysis      287—288 329 360—361 389
Regression models and methods, inverse Gaussian      325 330
Regression models and methods, least squares estimation      306—308 336 427
Regression models and methods, linear models      306—308 401
Regression models and methods, location-scale models      35 270—271 292—296 306—308 329 401—402
Regression models and methods, log-location-scale models      35 270—271
Regression models and methods, logistic and log-logistic      303—306
Regression models and methods, mixtures      274 326—327 330
Regression models and methods, model assessment      283 482—485
Regression models and methods, multiplicative hazards      35 322
Regression models and methods, normal and log-normal      303—306
Regression models and methods, parametric-models      35 269—274
Regression models and methods, piecewise-constant hazards (piecewise exponential)      323—324 330 384—386 389 453—455
Regression models and methods, proportional hazards (PH)      35 271—273 322—324 341—342
Regression models and methods, proportional odds      274 328 331
Regression models and methods, rank-based estimation      348—349 420—427
Regression models and methods, residual analysis      283—286 329 358—363 389
Regression models and methods, robustness      306—308
Regression models and methods, semiparametric (PH) models      35 341—342 449—450
Regression models and methods, semiparametric AFT and location-scale models      401—402 420
Regression models and methods, time-transformation      320—321 327—328 339
Regression models and methods, variable scale parameters      317—320 330 “Location-scale “Proportional
Regression models and methods, with time-varying covariates      35—36 320—321 330
Reid, C.B.      594
Reid, N.      389 551 603
Reiser, B.      586
Rejto, L.      609
Reliability      39
Reliability function      see “Survivor function”
Reliability, demonstration      253—258
Reliability, standards      200 258
Renewal process      78
Residuals      283—286 329
Residuals, exponential or hazard-based      286 359—360 485
Residuals, in regression models      283—286 359—360
Residuals, martingale      358—360 485—486
Residuals, plots      288—292 360—362 364—366
Residuals, Schoenfeld      362—363
Residuals, score      360—361
Residuals, uniform      482
Residuals, with censored data      283—286 358—360
Reverse time      121 397
Rice, J.      137 603
Richards, F.S.G.      548 603
Richardson, S.      588
Riemann — Stieltjes integral      11
Rijal, O      583
Ripley, B, D.      139 608
Risk indicator      58
Risk set      342
Ritov, Y.      427 429 580 603
Rivest, L.-R      588
Robins, J.      429 603
Robust variance estimates      423—424
Robustness      147 202—203 243 306—308
Rockafellar, R.T.      332 603
Rockette, H.      187 201 603
Rogers, W.H.      589
Rohwer, G.      40 580
Rootzen, H.      257 602
Rosati, R.A.      596
Rosenberg, P.S.      40 109 137 173 604
Rosenblatt, M.      137 603
Ross, S.M.      30 78 514 521 604
Rubin, D.B.      66 588 597
Rubinstein, L.V.      163 200 604
Rueda, R.      481 601
Ryan, L.M.      75 128 138 142 200 206 330 389 524 580 582 597
Ryan, T.P.      329 604
Sacher, G.A.      138 144 604
Sample size determination      157 160 254 428
Sampling inspection      see “Acceptance sampling”
Santner, T.J.      587 604
Sarhan.A.E.      108 257 604
Sarripford, M.R.      264 265 604
Saunders, S.C.      40 580
Savage, I.R.      346 428 604
Saw, S.L.C.      579
Schafer, R.E.      239 242 257 598 604
Schafft, H.A.      267 604
Scheike, T.H.      587 593
Schenkelberg, F.      525 609
Scheuer, E.M.      598
Schfnee, J.      161 200 215 222 231 232 257 581 601 604
Schlattmann, P.      580
Schneider, H.      258 329 604 609
Schoenfeld, D.A.      362 389 428 484 596 604
Scholz, F.W.      137 604
Schumacher, M.      417 428 589 604
Score statistic      61 546
Score statistic, asymptotic distribution      546—547
Score statistic, score tests      344 347 403—406 “Maximum “Estimating
Scorer, B.E.      389 393 584 605
Seal, H.L.      455 456 604
Seber, G.A.F      329 548 557 604
Segall, A.      521 604
Selection mechanisms and effects      51 67—71 78 177—181
Self, S.G.      388 525 551 591 596 603 604
Sellke, T.      428 605
Semiparametric models      see “Models”
Sensitivity analysis      249
Senthilselvan, A.      137 578
Sequences of lifetimes      37 507—512
Sequential methods      161 200
Serfling, R.J.      545 605
Severini, T.      545 605
Shapiro — Wilk test      480
Shapiro, S.S.      480 605
Sheffield, T.S.      239 242 257 604
Shelf life      64
Shellabarger, C.J.      338 604
Shi, M.      519 522 525 605
Shiboski, S.      138 592
Shih, J.H.      524 605
Shorack, G.R.      467 485 605
Shott, J.D.      604
Sidak, Z.      349 401 403 405 428 589
Siddiqui, M.M.      32 42 200 581 588
Siegmund, D.      428 605
Silvapulle, M.J.      200 307 329 332 605
Silverman, B.W.      109 113 589
Simulation      557—560
Simulation and bootstrap methods      557—560
Simulation and estimation      218 228
Simulation and hypothesis tests      238—239 468 475—476
Simulation and planning.studies      252 256 308 310
Simulation and prediction      196—199 203 266
Singh, M.      479 482 607
Singhal, K.      330 333 595
Singpurwalla, N.D.      522 525 598 605
Sinha, D.      591
Skouras, K.      201 605
Smith P.G.      602
Smith, A.F.M.      607
Smith, P.J.      427 429 591
Smith, R.L.      201 313 315 584 605 608
Smoothing      109—115 (see also “Kernel density estimates” “Splines”)
Smyth, G.K.      330 605
Snell, E.J.      329 372 583
Sobczyk, K.      525 605
Sobel, M.      75 158 161 200 586
Software      xv 40 138—139 201 258 330 390 429 525—526 555—557
Sorensen, T.I.A.      601
Spacings      476 478
Spearman’s rho      526
Spiegelhalter, D.I.      588
Spiekerman, C.F.      484 486 524 525 596 605
Splines      32 200
Splines, cubic      32 113—114
Splines, regression      109 114 137 173—174
Splines, smoothing      113—114
Sprott, D.A.      149 200 202 349 550 551 593 605
Stacy, E.W.      39 605
Stafford, J.E.      138 585
Staggered entry      53
Stallard, E.      456 598 608
Staton, T.C.      604
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