Авторизация 
		         
		        
					
 
		          
		        
			          
		        
			        Поиск по указателям 
		         
		        
			        
					 
		          
		        
			          
			
			         
       		 
			          
                
                    
                        
                     
                  
		
			          
		        
			          
		
            
	     
	    
	    
            
		
                    Bernardo J.M., Smith A.F.M. — Bayesian Theory 
                  
                
                    
                        
                            
                                
                                    Обсудите книгу на научном форуме    Нашли опечатку? 
 
                                
                                    Название:   Bayesian TheoryАвторы:   Bernardo J.M., Smith A.F.M. Аннотация:  This highly acclaimed text, now available in paperback, provides a thorough account of key concepts and theoretical results, with particular emphasis on viewing statistical inference as a special case of decision theory. Information-theoretic concepts play a central role in the development of the theory, which provides, in particular, a detailed discussion of the problem of specification of so-called ‘prior ignorance. The work is written from the authorss committed Bayesian perspective, but an overview of non-Bayesian theories is also provided, and each chapter contains a wide-ranging critical re-examination of controversial issues. The level of mathematics used is such that most material is accessible to readers with knowledge of advanced calculus. In particular, no knowledge of abstract measure theory is assumed, and the emphasis throughout is on statistical concepts rather than rigorous mathematics. The book will be an ideal source for all students and researchers in statistics, mathematics, decision analysis, economic and business studies, and all branches of science and engineering, who wish to further their understanding of Bayesian statistics.
Язык:  Рубрика:  Математика /Статус предметного указателя:  Готов указатель с номерами страниц ed2k:   ed2k stats Год издания:  2000Количество страниц:  586Добавлена в каталог:  12.04.2010Операции:  Положить на полку  |
	 
	Скопировать ссылку для форума  | Скопировать ID 
                                 
                             
                        
                     
                 
                                                                
			          
                
                    Предметный указатель 
                  
                
                    
                        Pearson family of distributions 343 Pearson, E.S. 2 446 450 471 536 Peers, H.W. 359 537 552 Pefia, D. 230 418 420 520 537 Peirce, C.S. 81 390 537 Peizer, D.B. 124 537 Pereira, C.A. de B. 136 374 455 493 523 537 Perez, M.E. 371 373 537 Pericchi, L.R. viii 231 369 370 371 373 405 407 422 423 424 534 537 543 Perks, W. 314 315 359 537 Peskun, P.H. 356 537 Petrella, L. 371 532 Petris, G. 162 540 Pettit, L.I. 230 417 418 537 538 Pfanzagl, J. 84 91 489 538 Phadia, E.G. 11 228 510 Pham-Gia, T. 160 538 Phillips, L.D. 10 272 375 509 531 538 Philosophy of science 10 Piccinato, L. 362 376 538 Pierce, D. 468 469 538 Pilz, J. 10 160 538 Pitman estimator 465 Pitman, E.J.G. 203 465 538 Pivotal inference 458 459 461 Plackett, R.L. 219 521 Plante, A. 455 466 538 Poetzelberger, K. 371 538 539 Point estimation (Bayesian) 8 Point estimation (Bayesian) for absolute error loss 257 Point estimation (Bayesian) for linear loss 257 Point estimation (Bayesian) for logarithmic divergence loss 279 Point estimation (Bayesian) for quadratic loss 257 Point estimation (Bayesian) for zero-one loss 257 Point estimation (Bayesian) in inference 257 258 Point estimation (Bayesian), Bayes estimate 257 258 461 465 Point estimation (non-Bayesian) xiv 9 445 460—465 Point estimation (non-Bayesian), best linear unbiased (BLUE) 463 Point estimation (non-Bayesian), bias 359 462—465 Point estimation (non-Bayesian), consistent 312 320 326 353 405 463—465 Point estimation (non-Bayesian), efficiency of 462 Point estimation (non-Bayesian), maximum likelihood (MLE) 288 359 Point estimation (non-Bayesian), minimum variance bound (MVB) 464 465 Point estimation (non-Bayesian), unbiased 348 462—465 Point estimation (non-Bayesian), uniform minimum variance (UMV) 464 465 Poirier, D.J. 376 420 445 538 Poisson distribution as an approximation to the Binomial 76 77 Poisson distribution, characterisation via sufficiency 206 Poisson distribution, conjugate analysis of 274 437 Poisson distribution, conjugate family for 267 268 437 Poisson distribution, inferential process for 437 Poisson distribution, model 116 199 206 429 Poisson distribution, reference distributions for 437 Poisson distribution, sufficient statistics for 437 Poisson-gamma distribution 119 429 Poisson-gamma distribution as predictive distribution 437 Polasek, W. 371 538 539 Pole, A. 10 366 374 538 539 Pollard, W.E. 10 539 Polson, N.G. 9 159 315 370 374 500 539 Poskitt, D.S. 417 539 Posterior distribution 9 43 94 130 175 242—247 Posterior distribution, approximation for large samples 286—297 314 365 Posterior distribution, convergence to correct value 285—287 Posterior distribution, reference see "Reference distribution" Posterior odds ratio 49 356 390 Power function 470—475 Pragmatism 81 Pratt, J.W. 9 85 87 90 124 250 262 263 376 527 537 539 Precise measurement 285 Precision matrix of multivariate normal distribution 137 Precision matrix of multivariate t distribution 140 Precision, of normal distribution 121 182 Prediction 7 10 407 408 445 454 Prediction, comparative issues xiv 482—485 Prediction, with quadratic loss 300 301 397—399 401 402 406 407 Predictive, distribution 43 243—247 419 483 Predictive, inference 243—247 483 Predictive, model 167 419 444 Predictive, sufficiency 191—193 Preference relation x xi Preference relation, among decisions 141—147 Preference relation, among options 17—33 52 56 Preference relation, precise measurement of 31—33 Prequential analysis 485 488 Prescriptive theory 4 23 32 95—98 Press, S.J. 9 10 11 104 376 445 483 514 527 539 Prevision 162 163 Price, R. 2 Principle of optimality (Bellman) 61 Prior distribution 9 43 94 130 173—182 185 186 189 190 234 235 241—247 357—367 444 446 450 470 see Prior distribution and modelling xii 165—235 Prior distribution, "objective"       275 298 357 Prior distribution, "vague"       8 357—367 Prior distribution, approximation 279—285 Prior distribution, conjugate see "Conjugate prior family of distributions" Prior distribution, elicitation of 5 160 234 235 370 375 Prior distribution, hierarchical 222—226 371 372 383 Prior distribution, invariant and relatively invariant 358 361 362 Prior distribution, Jeffreys' prior 314 315 357—362 Prior distribution, least favourable 449 Prior distribution, maximum entropy 365 Prior distribution, non-informative 357—367 Prior distribution, possible dependence on stopping rule 252 255 Prior distribution, reference 298 300—339 361 363—365 416 Prior distribution, robust 367—371 Prior ignorance xiii 8 264 298 357—367 see probability 1—3 6 7 see Probability (mass) function, multivariate xi 128 Probability (mass) function, univariate xi 111 Probability density function see "Density function" probability distribution 36 37 see Probability distribution, multivariate xi 8 127—141 433—435 Probability distribution, summaries of xiv 112 113 131—133 427—435 Probability distribution, univariate xi 8 109—125 427—433 Probability distribution, utility of x xi 69—75 151—154 Probability generating function 114 Probability space 108 109 141 Probability theory, review of xi 109—141 Probability, assessment 10 150 234 235 370 375 Probability, classical (or symmetry) 3 33 99—102 Probability, degrees of belief as 33—49 Probability, frequentist 3 33 99—102 Probability, logical 3 99—102 Probability, personal 33—49 99—102 Probability, review of mathematics of xi 109—141 Probability, upper and lower 99 Probit model 219 220 382 Profile likelihood 343 455 481 Psychological research 10 Purves, R.A. 87 512 Quality assurance 374 Quantification 28—33 98 99 Quantile 112 257 370 Quantitative coherence x 22—33 83—85 Quasi-random numbers 350 Rabena, M. 302 539 Racine-Poon, A. 11 426 483 515 539 540 Radner, R. 104 533 Radon — Nikodym derivative 111 133 Raftery, A.E. 353 468 540 Rahman, M.A. 163 528 Raiffa, H. 9 10 85 91 98 103 104 417 508 526 532 540 Ramsey, F.P. 15 68 83 84 85 102 540 Ramsey, J.O. 85 368 540 Randall, C.H. 95 540 Random, characteristic function 183—185 Random, distribution function 179 Random, quantity xi 7 109—114 165—167 Random, sample 7 169 173 177 185 189 190 Random, vector xi 127—133 Randomisation 472 Rao — Blackwell theorem 464 Rao, C.R. 184 464 525 540 Rao, M.M. 258 505 Raoult, J.-R. 10 512 Rationality 4 5 13—16 Raynaud, H. 104 491 Reference analysis xiii 8 9 264 298—339 458 459 Reference analysis for an induction problem 322 323 Reference analysis for binomial and negative binomial models 315 316 Reference analysis for deviation from uniformity model 313 Reference analysis for exponential model 457 Reference analysis for infinite discrete case 338 Reference analysis for location model 320 Reference analysis for multinomial model 336 337 Reference analysis for normal correlation coefficient 337—338 363 364 Reference analysis for normal mean and standard deviation 328—330 361 Reference analysis for normal standardised mean 330—331 362 363 Reference analysis for normal variance 301 302 Reference analysis for prediction with quadratic loss 300 301 Reference analysis for product of normal means 331—333 Reference analysis for several normal means 335 364 365 Reference analysis for uniform model 311 479 Reference decisions xiii 299—302 Reference distribution and Jeffreys' prior 314 315 Reference distribution and maximum entropy 365 Reference distribution and model criticism 313 Reference distribution and ordered parametrisation 323 333 364 366 Reference distribution and strong inconsistency 365 Reference distribution and the likelihood principle 366 367 Reference distribution for hierarchical models 339 Reference distribution for prediction 339 Reference distribution in the finite case 307 308 Reference distribution, compatibility with sufficient statistics 309—310 Reference distribution, explicit form of 307 312 319 Reference distribution, given a consistent estimator 312 313 Reference distribution, given a nuisance parameter xiii 320—333 Reference distribution, independence of sample size 308 309 Reference distribution, invariance of 310 325 326 Reference distribution, multiparameter xiii 333—339 Reference distribution, one-dimensional xiii 302—320 Reference distribution, posterior 300—339 363—365 416 Reference distribution, prior 298 300—339 361 363—365 416 Reference distribution, restricted xiii 316—320 Reference distribution, under asymptotic normality 314—316 326—333 Regazzini, E. 9 89 162 483 501 540 Regression coefficient 221 Regression equation 221 Regression, inferential process for 442 Regression, multiple 221 222 383 Regression, polynomial 222 Regression, simple 222 Regression, trigonometric 222 Regressor variables 221 377 Regulation problems 483 Reichenbach, H. 100 540 Reid, N. 343 455 479 481 502 512 Relevant event see "Event" Relevant subsets 468 Reliability 10 Remodelling xiv 377—426 Remodelling by model comparison see "Model comparison" Remodelling by model rejection see "Model rejection" Remodelling, critical issues xiv 418—426 Renyi, A. 77 79 91 102 158 163 540 541 Reparametrisation 189 220 235 344 345 347 348 Repeated sampling 453 454 455 Reporting beliefs 67—81 150—159 302 316 320 357 399—402 424 425 Representation theorems xii 3 7 172—207 235 236 Representation theorems for 0-1 random quantities 172—175 Representation theorems for 0-1 random vectors 176 177 Representation theorems for several sequences of 0-1 random quantities 211—215 Representation theorems under centred spherical symmetry 183—186 Representation theorems under origin invariance 187—190 Representation theorems under spherical symmetry 181—183 Representation theorems under sufficiency 191—207 Representation theorems, general form of 177—181 Residual analysis 418 Ressel, P. 236 541 Revision of beliefs x 38—45 Rfos, S. 10 99 104 516 541 Rfos, S.Jr. 104 541 Richard, J.F. 10 541 Riemannian metric 358 Rios, D. 104 371 541 Rios, M.J. 104 541 Ripley, B.D. 351 355 541 Risk function 446 Rissanen, J. 358 485 488 541 Ritter, C. 353 541 Rivadulla, A. 10 541 Robbins, H. 373 541 Robert, C.P. 9 373 374 394 465 469 495 500 508 541 Roberts, F. 10 84 104 541 Roberts, G.O. 353 354 356 541 545 Roberts, H.V. 11 98 376 425 483 542 Robinson, G.K. 468 542 Robustness xiii 5 99 160 235 239 367—371 Rodriguez, C.C. 362 542 Rolin, J.-M. 9 164 228 239 374 512 542 Rosenbluth, A.W. 533 Rosenbluth, M.N. 533 Rosenkranz, R.D. 10 542 Rossi, P.E. 417 533 Roush, F.W. 104 526 Royall, R.M. 455 542 Rubin, D.B. 10 350 353 371 374 419 515 532 533 542 Rubin, H. 263 371 417 525 542 Rueda, R. 416 417 543 Rulz-Rivas, C. 230 491 Saaty, T.L. 104 543 Sacks, J. 258 543 Saemdal, C.-E. 91 543 Sahlin, N.-E. 10 104 513 Salinetti, G. 371 532 543 Samanta, T. 289 516 Sample survey 10 Sample, mean 190 Sample, median 190 Sample, range 190 Sample, size 190 Sample, space 454 Sample, sum of squares 190 Sample, total 190 Sampling cost see "Cost of observation" Sampling distribution 173 177 450 see parametric" Sampling-importance-resamplin xiii 8 264 340 350—352 San Martini, A. 417 543 Sanso, B. 370 371 537 543 Sanz, R. 371 502 Savage, I.R. 9 96 543 Savage, L.J. 9 10 11 71 84 85 88 91 92 97 98 162 235 263 285 371 425 446 451 478 508 509 513 517 520 521 543 544 Savchuk, V.P. 9 544 Sawagari, Y. 10 374 544 Schader, M. 103 513 Schervish, M.J. 91 104 162 373 525 543 544 Schick, L.H. 10 519 Schlaifer, R. 9 10 85 417 539 540 543 544 Schmitt, S.A. 9 544 Schwartz, L. 463 544 Schwarz criterion 487 488 Schwarz, G. 487 544 Schweder, T. 468 540 Scientific reporting 67—77 150—157 302 320 360 399—402 424 425 Score function 6 69—75 88—89 151—157 399—409 Score function, local 72—74 153 154 Score function, logarithmic 74—81 85 91 154—159 207—209 302—339 400—407 422—424 488 Score function, proper 71—74 152 399 477 Score function, quadratic 71 72 88 89 152 397—407 
                            
                     
                  
			Реклама