Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Bates Douglas M., Watts Donald G. — Nonlinear Regression Analysis and Its Applications (Wiley Series in Probability and Statistics)
Bates Douglas M., Watts Donald G. — Nonlinear Regression Analysis and Its Applications (Wiley Series in Probability and Statistics)



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Nonlinear Regression Analysis and Its Applications (Wiley Series in Probability and Statistics)

Авторы: Bates Douglas M., Watts Donald G.

Аннотация:

A balanced presentation of the theoretical, practical, and computational aspects of nonlinear regression. Provides background material on linear regression, including a geometrical development for linear and nonlinear least squares. The authors employ real data sets throughout, and their extensive use of geometric constructs and continuing examples makes the progression of ideas appear very natural. Includes pseudocode for computing algorithms.


Язык: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 384

Добавлена в каталог: 27.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Klema, V.C.      316 317
Kuh, E.      1 26
Lack of fit      29
Lack of fit, analysis, nitrite example      113
Lack of fit, degrees of freedom      29
Lack of fit, mean square      29
Lack of fit, sum of squares      29
Lag      92
Lawton, W.H.      69
Least squares criterion      25
Least squares estimate      5
Least squares estimates for nonlinear model      39
Least squares geometry      39
Least squares geometry of nonlinear      43
Least squares properties of estimator      5
Levenberg — Marquardt compromise      80 81
Levenberg, K.      81
Lewis, M.      74 273
Likelihood      60
Likelihood, conditional      204
Likelihood, contour      6 200
Likelihood, function      4 23 25
Likelihood, geometry      23
Likelihood, inference      6
Likelihood, interval      205
Likelihood, profile trace      207
Likelihood, region      6 200 256
Likelihood, region, scaled      242
Lindstrom, M.J.      86
Linear approximation      64
Linear approximation to expectation function      40 229 232
Linear approximation to expectation surface      232
Linear approximation to obtain Gauss — Newton increment      64
Linear approximation to sum of squares function      61
Linear approximation, inference band      58
Linear approximation, inference interval      58
Linear approximation, inference region      64 200 232
Linear model      2
Linear regression      1
Linssen, H.N.      87 274
Lisk, D.J.      3 267
Loglikelihood, conditional      138
Loglikelihood, function      60
Lucas, H.L.      124 125
Lythgoe, S.C.      311
MacGregor, J.F.      135 147 148 155 156 157 272
Maggio, M.S.      69
Marquardt, D.W.      81
Marske, D.      41 270 305
Matrix, centered data      155
Matrix, covariance      137
Matrix, derivative      40
Matrix, effective residual curvature      260
Matrix, expected response      136
Matrix, exponential      172 173
Matrix, hat      27
Matrix, observation      136
Matrix, parameter correlation      54
Matrix, relative curvature      244
Matrix, residual      136 155
Matrix, singular      155
Matrix, system transfer      148 171
Maximum likelihood estimate      5 138
McLean, D.D.      155 156
Missing data in multiresponse estimation      164
Model assessment      23 26
Model, linear differential equations      168
Model, nested      103 162
Model, non-nested      103
Model, selection, nitrite example      113
Model, specification in nonlinear regression      67
Model, unidentifiable      181
Moler, C.B.      13 81 145 156 244 289 295 302 316 317
Montgomery, D.C.      vii 1 28
Multiresponse estimation      134
Multiresponse estimation, advantages and disadvantages      141
Multiresponse estimation, assessing fit      149
Multiresponse estimation, compartment model      188
Multiresponse estimation, convergence criterion      145
Multiresponse estimation, dependencies in data      154
Multiresponse estimation, missing data      164
Multiresponse estimation, model      134
Multiresponse estimation, practical considerations      146
Murray, W.      77
Negami, S.      136 146 280
Nested model      103
Nested model, extra determinant test      162
Newton — Raphson iteration method      79
Nonlinear least squares via sums of squares      60
Nonlinear model      32
Nonlinear model — intrinsically linear      34
Nonlinear model — transformably linear      34
Nonlinear regression      32 67
Nonlinearity and profile t plot      205
Nonlinearity and profile traces      207
Nonlinearity of model-data set      62
Nonlinearity, intrinsic      237 256
Nonlinearity, parameter effects      237
Nonlinearity, relative curvature measures      232
Normal assumption      25 91
Normal distribution      2 25
Normal equations      12
Normal plot      91
Normal probability plot      27
Normal spherical distribution      9 16 33
Oneill, B.      220
Orthogonal basis      13
Orthogonal transformation      16
Outlier      27
Overparametrization      87 90
Overparametrization, nitrite example      116
Overshoot      64
p-value      17
Parameter effects, curvature      241
Parameter effects, curvature — geometric interpretation      246
Parameter effects, nonlinearity      237
Parameter effects, relative curvature array      242
Parameter transformation, centering and scaling      78
Parameter transformation, to improve convergence      78
Parameter, approximate correlation matrix      90
Parameter, approximate correlations      53
Parameter, approximate covariance matrix      85
Parameter, approximate inference region      52
Parameter, approximate standard error      53
Parameter, arcing      247
Parameter, as functions of other variables      108
Parameter, compansion      247
Parameter, conditionally linear      36 76 85
Parameter, confidence interval      6
Parameter, constraint      77
Parameter, correlation matrix      54
Parameter, curve      45
Parameter, exchangeable      78 180
Parameter, extra degrees of freedom      103
Parameter, fanning      247
Parameter, incremental      91 104
Parameter, inference region      15 52
Parameter, kinetic      188
Parameter, line      10
Parameter, line on expectation surface      39
Parameter, linear approximation line to curve      45 47
Parameter, nonlinearity      237
Parameter, nuisance      26
Parameter, plane      10 38
Parameter, process      108 188
Parameter, t ratio      90
Parameter, torsion      247
Parameter, transformation      179 248
Parker, J.O.      69
Partial autocorrelation function      94
Peck, E.A.      vii 1 28
Peeling      74 97
Peirson, D.R.      110 278
Pereyra, V.      81 86 142
Planar assumption      43 45 229 232 256
Planar assumption and intrinsic curvature      245
Plot of residuals      27
Plot, fitted and observed      91
Plot, lag      92
Plot, residual vs fined      91
Plot, time series      92
Posterior density      7
Posterior density for nonlinear model      219
Posterior density, profile trace      222
Practical considerations, accumulated data      96
Practical considerations, assessing fit      90
Practical considerations, check for convergence      90
Practical considerations, collinearity      78 80
Practical considerations, comparing models      103
Practical considerations, compartment models      179
Practical considerations, conditionally linear parameter      85
Practical considerations, constraint on parameter      77
Practical considerations, correlated residuals      92
Practical considerations, derivative-free methods      82
Practical considerations, disturbance      69
Practical considerations, improving convergence      78
Practical considerations, in multiresponse estimation      146
Practical considerations, in nonlinear regression      67
Practical considerations, Levenberg — Marquardt compromise      80 81
Practical considerations, model specification      67
Practical considerations, modifying the model      90
Practical considerations, numerical derivatives      82
Practical considerations, obtaining convergence      86
Practical considerations, parameters as functions of other variables      108
Practical considerations, preliminary analysis      70
Practical considerations, presenting the results      109
Practical considerations, QR decomposition      80
Practical considerations, starting values      72
Practical considerations, starting values for compartment models      182
Practical considerations, unidentifiable model      180
Preliminary analysis, nitrite example      110
Prior density for nonlinear model      216
Prior density on expectation surface      217
Prior density, noninformative      7
Pritchard, D.J.      155 156 306
Probability density function      2 24
Profile pair sketches      209
Profile t      205
Profile trace      207
Profile trace, posterior      222
QR decomposition      13
QR decomposition of residual matrix      141
QR decomposition of velocity and acceleration matrix      236
Ralston, M.L.      49 82 85
Random variable      1 24
Randomization      24 25 26 123
Rate constant      168 179
Ratkowsky, D.A.      72 213 215 249
Relative curvature      241
Relative curvature, algorithm      244
Relative curvature, array      242
Relative curvature, matrix      244
Renwick, A.G.      97 101 277 306
Reparametrization      248
Reparametrization and parameter effects      238
Replication      24 28 36 70 123 126
Replication, degrees of freedom      29
Replication, importance of      26
Replication, mean square      29
Replication, sum of squares      29
Report, writing      109
Residual      4 24 40 90
Residual, autocorrelation function      94
Residual, correlated      92
Residual, degrees of freedom      29
Residual, matrix      136 155
Residual, mean square      6 30
Residual, normal probability plot      91
Residual, plot      91 149
Residual, studentized      27
Residual, sum of squares      4 29
Residual, vector      12 139
Residual, vector, approximate      260
Response, function confidence band      6
Response, space      10 36
Robinson, W.E.      170 188 282
Roller, D.      268
Root mean square (RMS), curvature      254
Ruppert, D.      70 91
Sampling distribution      25
Sampson, P.F.      49
Schnabel, R.B.      80 82 145
Seber, G.A.      1 5 25
Second derivative array      233 250
Serum, J.W.      3 267
Sigma-minus method for accumulated data      97
Silvey, S.D.      123
Singular data matrix      155
Singular residual matrix      155
Singular value decomposition      156
Smith, B.T.      316 317
Smith, H.      vii 1 26 28 49 70 91 123
Sorensen, J.P.      68 164 165
Sredni, J.      92 274
St. John, R.C.      123
Stabilizing variance      28
Standard error      7 21
Standard error, approximate      53
Starting values      72
Starting values for compartment model      182
Starting values, conditionally linear model      76
Starting values, interpreting derivatives of expectation function      73
Starting values, interpreting expectation function      72
Starting values, multiresponse      146
Starting values, peeling      74
Starting values, reducing dimensions      76
Starting values, systems of differential equations      147
Starting values, transformably linear model      73
Starting values, transforming expectation function      73
Steepest descent      81
Steinberg, D.M.      123 131
Step factor      42 64 84 85 145
Stewart, G.W.      13 81 145 156 244 289 295 302 316
Stewart, W.E.      68 69 164 165 168 179
Stiratelli, R.G.      96 274
Sum of squares      4
Sum of squares, contour      23 61
Sum of squares, extra      103
Sum of squares, function      60
Sum of squares, lack of fit      29
Sum of squares, replication      29
Sum of squares, residual      29
Sylvestre, A.      69
System diagram      169
t distribution      6 7
T distribution, multivariate      7 139 220
Tail probability      17
Tangent plane      43
Tangent plane, approximation to expectation surface      44 45 232
Tangent space dimension      234
Tiao, G.C.      1 7 139 140 218 220
Tidwell, P.W.      3
Tierney, L.      223
Time series      92
Time series, autoregressive model      93
Time series, moving average model      93
Titterington, D.M.      123
Torsion      247
Trace, criterion for multiresponse estimation      136
Transfer matrix      148 171
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте