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Linear models: least squares and alternatives

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Bibliographic Details
Main Authors:	Rao, Calyampudi Radhakrishna 1920-2023 (Author), Toutenburg, Helge 1943-2009 (Author)
Format:	Book
Language:	German
Published:	New York [u.a.] Springer 1999
Edition:	2. ed.
Series:	Springer series in statistics
Subjects:	Kleinste-kwadratenmethode Lineaire analyse Lineaire modellen Modèles linéaires (Statistique) Linear models (Statistics) Statistik Matrizenrechnung Lineares Modell Ökonometrie Statistische Analyse Wirtschaftstheorie Lineare Optimierung
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 403 - 419. - Ab 3. Aufl. u.d.T.: Linear Models and generalizations
Physical Description:	XV, 427 S. graph. Darst.
ISBN:	0387988483

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245	1	0	\|a Linear models \|b least squares and alternatives \|c C. Radhakrishna Rao ; Helge Toutenburg. With contributions by Andreas Fieger
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Record in the Search Index

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adam_text	C. RADHAKRISHNA RAO HELGE TOUTENBURG LINEAR MODELS LEAST SQUARES AND ALTERNATIVES SECOND EDITION WITH CONTNBUTIONS BY ANDREAS FIEGER WITH 33 ILLUSTRATIONS SPRINGER CONTENTS PREFAC E T O TH E FIRS T EDITIO N V PREFAC E T O TH E SECON D EDITIO N VI I 1 INTRODUCTIO N 1 2 LINEA R MODEL S 5 2.1 REGRESSION MODELS IN ECONOMETRIC S 5 2.2 ECONOMETRI C MODELS 8 2.3 TH E REDUCED FOR M 12 2.4 TH E MULTIVARIAT E REGRESSION MODEL 14 2.5 TH E CLASSICAL MULTIVARIAT E LINEAR REGRESSION MODEL .. . 17 2.6 TH E GENERALIZED LINEA R REGRESSION MODEL 18 2.7 EXERCISES 20 3 TH E LINEA R REGRESSIO N MODE L 2 3 3.1 TH E LINEAR MODEL 23 3.2 TH E PRINCIPL E OF ORDINAR Y LEAST SQUARES (OLS) 24 3.3 GEOMETRI E PROPERTIE S OF OLS 25 3.4 BEST LINEAR UNBIASE D ESTIMATIO N 27 3.4.1 BASIC THEOREM S 27 3.4.2 LINEA R ESTIMATOR S 32 3.4.3 MEAN DISPERSIO N ERRO R 33 3.5 ESTIMATIO N (PREDICTION ) OF TH E ERRO R TER M E AN D A 2 . . . 34 X CONTENTS 3.6 CLASSICAL REGRESSION UNDE R NORMA L ERROR S 35 3.6.1 TH E MAXIMUM-LIKELIHOOD (ML) PRINCIPL E ... . 36 3.6.2 ML ESTIMATIO N I N CLASSICAL NORMA L REGRESSION . 36 3.7 TESTIN G LINEAR HYPOTHESE S 37 3.8 ANALYSI S OF VARIANC E AN D GOODNES S OF FI T 44 3.8.1 BIVARIAT E REGRESSION 44 3.8.2 MULTIPL E REGRESSION 49 3.8.3 A COMPLE X EXAMPL E 53 3.8.4 GRAPHICA L PRESENTATIO N 56 3.9 TH E CANONICA L FOR M 57 3.10 METHOD S FOR DEALIN G WIT H MULTICOLLINEARIT Y 59 3.10.1 PRINCIPA L COMPONENT S REGRESSION 59 3.10.2 RIDGE ESTIMATIO N 60 3.10.3 SHRINKAGE ESTIMATE S 64 3.10.4 PARTIA L LEAS T SQUARE S 65 3.11 PROJECTIO N PURSUI T REGRESSION 68 3.12 TOTA L LEAS T SQUARE S 70 3.13 MINIMA X ESTIMATIO N 72 3.13.1 INEQUALIT Y RESTRICTION S 72 3.13.2 TH E MINIMA X PRINCIPL E 75 3.14 CENSORED REGRESSION 80 3.14.1 OVERVIEW 80 3.14.2 LAD ESTIMATOR S AN D ASYMPTOTI C NORMALIT Y .. . 81 3.14.3 TEST S OF LINEA R HYPOTHESE S 82 3.15 SIMULTANEOU S CONFIDENCE INTERVAL S 84 3.16 CONFIDENCE INTERVA L FOR TH E RATI O OF TW O LINEA R PARAMETRI C FUNCTION S 85 3.17 NEURA L NETWORK S AN D NONPARAMETRI C REGRESSION 86 3.18 LOGISTIC REGRESSION AN D NEURA L NETWORKS 87 3.19 RESTRICTE D REGRESSION 88 3.19.1 PROBLE M OF SELECTION 88 3.19.2 THEOR Y OF RESTRICTE D REGRESSION 88 3.19.3 EFFICIENCY OF SELECTION 91 3.19.4 EXPLICI T SOLUTIO N I N SPECIAL CASES 91 3.20 COMPLEMENT S 93 3.20.1 LINEA R MODELS WITHOU T MOMENTS : EXERCISE ... . 9 3 3.20.2 NONLINEA R IMPROVEMENT OF OLS E FOR NONNORMA L DISTURBANCE S 9 3 3.20.3 A CHARACTERIZATIO N OF TH E LEAST SQUARE S ESTIMATO R 94 3.20.4 A CHARACTERIZATIO N OF TH E LEAST SQUARE S ESTIMATOR : A LEMM A 94 3.21 EXERCISES 95 CONTENTS XI 4 TH E GENERALIZE D LINEA R REGRESSIO N MODE L 9 7 4.1 OPTIMA L LINEAR ESTIMATIO N OF SS 97 4.1.1 I?I-OPTIMA L ESTIMATOR S 98 4.1.2 I? 2 -OPTIMA L ESTIMATOR S 102 4.1.3 I? 3 -OPTIMA L ESTIMATOR S 103 4.2 TH E AITKE N ESTIMATO R 104 4.3 MISSPECIFICATION OF TH E DISPERSION MATRI X 106 4.4 HETEROSCEDASTICIT Y AN D AUTOREGRESSIO N 109 4.5 MIXED EFFECTS MODEL: A UNIFIED THEOR Y OF LINEAR ESTIMATIO N 117 4.5.1 MIXED EFFECTS MODEL 117 4.5.2 A BASIC LEMM A 118 4.5.3 ESTIMATIO N OF XSS (TH E FIXE D EFFECT) 119 4.5.4 PREDICTIO N OF U(, (TH E RANDO M EFFECT) 120 4.5.5 ESTIMATIO N OF E 120 4.6 REGRESSION-LIKE EQUATION S IN ECONOMETRIC S 121 4.6.1 STOCHASTI C REGRESSION 121 4.6.2 INSTRUMENTA L VARIABLE ESTIMATO R 122 4.6.3 SEEMINGLY UNRELATE D REGRESSIONS 123 4.7 SIMULTANEOU S PARAMETE R ESTIMATIO N BY EMPIRICA L BAYES SOLUTIONS 124 4.7.1 OVERVIEW 124 4.7.2 ESTIMATIO N OF PARAMETER S FROM DIFFERENT LINEAR MODELS 126 4.8 SUPPLEMENT S 130 4.9 GAUSS-MARKOV, AITKEN AN D RA O LEAS T SQUARE S ESTIMATOR S 130 4.9.1 GAUSS-MARKOV LEAS T SQUARE S 131 4.9.2 AITKEN LEAST SQUARE S 132 4.9.3 RA O LEAST SQUARE S 132 4.10 EXERCISES 134 5 EXAC T AN D STOCHASTI C LINEA R RESTRICTION S 13 7 5.1 USE OF PRIO R INFORMATIO N 137 5.2 TH E RESTRICTE D LEAST-SQUARE S ESTIMATO R 138 5.3 STEPWISE INCLUSION OF EXAC T LINEA R RESTRICTION S 141 5.4 BIASED LINEAR RESTRICTION S AN D MD E COMPARISO N WIT H TH E OLS E 146 5.5 MD E MATRI X COMPARISON S OF TW O BIASED ESTIMATOR S . . 149 5.6 MD E MATRI X COMPARISO N OF TW O LINEA R BIASED ESTIMATOR S 154 5.7 MD E COMPARISO N OF TW O (BIASED) RESTRICTE D ESTIMATOR S 156 5.8 STOCHASTI C LINEAR RESTRICTION S 163 5.8.1 MIXED ESTIMATO R 163 5.8.2 ASSUMPTION S ABOU T TH E DISPERSION MATRI X ... . 165 5.8.3 BIASED STOCHASTI C RESTRICTION S 168 5.9 WEAKENED LINEAR RESTRICTION S 172 XII CONTENTS 5.9.1 WEAKLY (R, R)-UNBIASEDNES S 172 5.9.2 OPTIMA L WEAKLY (R, R)-UNBIASE D ESTIMATOR S . . . 173 5.9.3 FEASIBLE ESTIMATORS-OPTIMA L SUBSTITUTIO N OF SS IN SSI(SS,A) 176 5.9.4 RLSE INSTEA D OF TH E MIXED ESTIMATO R 178 5.10 EXERCISES 179 6 PREDICTIO N PROBLEM S I N TH E GENERALIZE D REGRESSIO N MODE L 18 1 6.1 INTRODUCTIO N 181 6.2 SOME SIMPLE LINEAR MODELS 181 6.2.1 TH E CONSTAN T MEA N MODEL 181 6.2.2 TH E LINEA R TREN D MODEL 182 6.2.3 POLYNOMIA L MODELS 183 6.3 TH E PREDICTIO N MODEL 184 6.4 OPTIMA L HETEROGENEOUS PREDICTIO N 185 6.5 OPTIMA L HOMOGENEOUS PREDICTIO N 187 6.6 MD E MATRI X COMPARISON S BETWEE N OPTIMA L AN D CLASSICAL PREDICTOR S 190 6.6.1 COMPARISO N OF CLASSICAL AN D OPTIMA L PREDICTIO N WIT H RESPEC T T O TH E Y* SUPERIORIT Y 193 6.6.2 COMPARISO N OF CLASSICAL AN D OPTIMA L PREDICTOR S WIT H RESPEC T T O TH E X*SS SUPERIORIT Y 195 6.7 PREDICTIO N REGIONS 197 6.8 SIMULTANEOU S PREDICTIO N OF ACTUA L AN D AVERAGE VALUES OF Y 202 6.8.1 SPECIFICATION OF TARGE T FUNCTIO N 202 6.8.2 EXAC T LINEAR RESTRICTION S 203 6.8.3 MDE P USING ORDINAR Y LEAST SQUARES ESTIMATO R 204 6.8.4 MDE P USING RESTRICTE D ESTIMATO R 204 6.8.5 MDE P MATRI X COMPARISO N 205 6.9 KAIMA N FILTE R 205 6.9.1 DYNAMICA L AN D OBSERVATIONA L EQUATION S 206 6.9.2 SOME THEOREM S 206 6.9.3 KAIMA N MODEL 209 6.10 EXERCISES 210 7 SENSITIVIT Y ANALYSI S 21 1 7.1 INTRODUCTIO N 211 7.2 PREDICTIO N MATRI X 211 7.3 EFFECT OF SINGLE OBSERVATIO N ON ESTIMATIO N OF PARAMETER S 217 7.3.1 MEASURES BASED O N RESIDUAI S 218 7.3.2 ALGEBRAIC CONSEQUENCES OF OMITTIN G A N OBSERVATIO N 219 7.3.3 DETECTIO N OF OUTLIER S 220 7.4 DIAGNOSTIC PLOT S FOR TESTIN G TH E MODEL ASSUMPTION S . . . 224 7.5 , MEASURES BASED ON TH E CONFIDENCE ELLIPSOID 225 CONTENTS XIN 7.6 PARTIA L REGRESSION PLOT S . 231 7.7 REGRESSION DIAGNOSTIC S FOR REMOVING A N OBSERVATIO N WIT H ANIMATIN G GRAPHIC S 233 7.8 EXERCISES 239 8 ANALYSI S O F INCOMPLET E DAT A SET S 24 1 8.1 STATISTICA L METHOD S WIT H MISSING DAT A 242 8.1.1 COMPLET E CAS E ANALYSIS 242 8.1.2 AVAILABLE CAS E ANALYSIS 242 8.1.3 FILLING IN TH E MISSING VALUES 243 8.1.4 MODEL-BASED PROCEDURE S 243 8.2 MISSING-DAT A MECHANISMS 244 8.2.1 MISSING INDICATO R MATRI X 244 8.2.2 MISSING COMPLETEL Y A T RANDO M 244 8.2.3 MISSING A T RANDO M 244 8.2.4 NONIGNORABL E NONRESPONS E 244 8.3 MISSING PATTER N 244 8.4 MISSING DAT A IN TH E RESPONS E 245 8.4.1 LEAST-SQUARE S ANALYSIS FOR FILLED-U P DATA-YATE S PROCEDUR E 246 8.4.2 ANALYSIS OF COVARIANCE-BARTLETT S METHO D . . . 247 8.5 SHRINKAGE ESTIMATIO N BY YATE S PROCEDUR E 248 8.5.1 SHRINKAGE ESTIMATOR S 248 8.5.2 EFFICIENCY PROPERTIE S 249 8.6 MISSING VALUES I N TH E X-MATRI X 251 8.6.1 GENERA L MODEL 251 8.6.2 MISSING VALUES AN D LOSS IN EFFICIENCY 252 8.7 METHOD S FOR INCOMPLET E X-MATRICE S 254 8.7.1 COMPLET E CASE ANALYSIS 254 8.7.2 AVAILABLE CAS E ANALYSIS 255 8.7.3 MAXIMUM-LIKELIHOOD METHOD S 255 8.8 IMPUTATIO N METHOD S FOR INCOMPLET E X-MATRICE S 256 8.8.1 MAXIMUM-LIKELIHOOD ESTIMATE S OF MISSING VALUES 257 8.8.2 ZERO-ORDE R REGRESSION 258 8.8.3 FIRST-ORDE R REGRESSION 259 8.8.4 MULTIPL E IMPUTATIO N 261 8.8.5 WEIGHTED MIXED REGRESSION 261 8.8.6 TH E TWO-STAG E WMR E 266 8.9 ASSUMPTION S ABOU T TH E MISSING MECHANISM 267 8.10 REGRESSION DIAGNOSTICS T O IDENTIFY NON-MCA R PROCESSE S 267 8.10.1 COMPARISO N OF TH E MEANS 268 8.10.2 COMPARIN G TH E VARIANCE-COVARIANCE MATRICE S . . 268 8.10.3 DIAGNOSTIC MEASURE S FROM SENSITIVIT Y ANALYSIS . 268 8.10.4 DISTRIBUTIO N OF TH E MEASURES AN D TEST PROCEDUR E 269 8.11 EXERCISES 270 XIV CONTENTS 9 ROBUS T REGRESSIO N 27 1 9.1 OVERVIEW 271 9.2 LEAS T ABSOLUT E DEVIATIO N ESTIMATORS-UNIVARIAT E CASE . 272 9.3 M-ESTIMATES : UNIVARIAT E CASE 276 9.4 ASYMPTOTI C DISTRIBUTION S OF LAD ESTIMATOR S 279 9.4.1 UNIVARIAT E CASE 279 9.4.2 MULTIVARIAT E CAS E 280 9.5 GENERA L M-ESTIMATE S 281 9.6 TEST S OF SIGNIFICANCE 285 1 0 MODEL S FOR CATEGORICA L RESPONS E VARIABLE S 28 9 10.1 GENERALIZED LINEA R MODELS 289 10.1.1 EXTENSIO N OF TH E REGRESSION MODEL 289 10.1.2 STRUCTUR E OF TH E GENERALIZED LINEA R MODEL . . . . 291 10.1.3 SCORE FUNCTIO N AN D INFORMATIO N MATRI X 294 10.1.4 MAXIMUM-LIKELIHOOD ESTIMATIO N 295 10.1.5 TESTIN G OF HYPOTHESE S AN D GOODNES S OF FI T .. . 298 10.1.6 OVERDISPERSIO N 299 10.1.7 QUAS I LOGLIKELIHOOD 301 10.2 CONTINGENCY TABLE S 303 10.2.1 OVERVIEW 303 10.2.2 WAYS OF COMPARIN G PROPORTION S 305 10.2.3 SAMPLIN G I N TWO-WAY CONTINGENC Y TABLE S .. . 307 10.2.4 LIKELIHOOD FUNCTIO N AN D MAXIMUM-LIKELIHOOD ES - TIMATE S 308 10.2.5 TESTIN G TH E GOODNES S OF FI T 310 10.3 GLM FOR BINAR Y RESPONS E 313 10.3.1 LOGIT MODEL S AN D LOGISTIC REGRESSION 313 10.3.2 TESTIN G TH E MODEL 315 10.3.3 DISTRIBUTIO N FUNCTIO N AS A LINK FUNCTIO N ... . 316 10.4 LOGIT MODELS FOR CATEGORICA L DAT A 317 10.5 GOODNES S OF FIT-LIKELIHOOD-RATI O TEST 318 10.6 LOGLINEAR MODELS FOR CATEGORICA L VARIABLES 319 10.6.1 TWO-WAY CONTINGENC Y TABLES 319 10.6.2 THREE-WA Y CONTINGENC Y TABLE S 322 10.7 TH E SPECIAL CAS E OF BINAR Y RESPONSE 325 10.8 CODIN G OF CATEGORICA L EXPLANATOR Y VARIABLES 328 10.8.1 DUMM Y AN D EFFECT CODIN G 328 10.8.2 CODIN G OF RESPONS E MODELS 331 10.8.3 CODIN G OF MODEL S FOR TH E HAZAR D RAT E 332 10.9 EXTENSION S T O DEPENDEN T BINAR Y VARIABLES 335 10.9.1 OVERVIEW 335 10.9.2 MODELING APPROACHE S FOR CORRELATE D RESPONS E . 337 10.9.3 QUASI-LIKELIHOOD APPROAC H FOR CORRELATE D BINAR Y RESPONS E 338 CONTENTS XV 10.9.4 TH E GE E METHO D BY LIAN G AN D ZEGER ..... . 339 10.9.5 PROPERTIE S OF TH E GE E ESTIMAT E SS G 341 10.9.6 EFFICIENCY OF TH E GE E AN D IE E METHOD S 342 10.9.7 CHOICE OF TH E QUASI-CORRELATIO N MATRI X RI(A) . . 343 10.9.8 BIVARIAT E BINAR Y CORRELATE D RESPONS E VARIABLE S . 344 10.9.9 TH E GE E METHO D 344 10.9.10 TH E IE E METHO D 346 10.9.11 AN EXAMPL E FROM TH E FIELD OF DENTISTR Y 346 10.9.12 FUELL LIKELIHOOD APPROAC H FOR MARGINA L MODELS . 351 10.10 EXERCISES 351 A MATRI X ALGEBR A 35 3 A. L OVERVIEW 353 A.2 TRACE OF A MATRI X 355 A.3 DETERMINAN T OF A MATRI X 356 A.4 INVERSE OF A MATRI X 358 A. 5 ORTHOGONA L MATRICE S 359 A.6 RAN K OF A MATRI X 359 A.7 RANG E AN D NULL SPACE 360 A.8 EIGENVALUES AN D EIGENVECTORS 360 A.9 DECOMPOSITIO N OF MATRICE S 362 A.10 DEFINITE MATRICE S AN D QUADRATI C FORM S 365 A.L L IDEMPOTEN T MATRICE S 371 A.12 GENERALIZED INVERSE 372 A.13 PROJECTOR S 380 A.14 FUNCTION S OF NORMALL Y DISTRIBUTE D VARIABLES 381 A.15 DIFFERENTIATION OF SCALAR FUNCTION S OF MATRICE S 384 A.16 MISCELLANEOUS RESULTS , STOCHASTI C CONVERGENCE 387 B TABLE S 39 1 C SOFTWAR E FOR LINEA R REGRESSIO N MODEL S 39 5 C. L SOFTWARE 395 C.2 SPECIAL-PURPOS E SOFTWARE 400 C.3 RESOURCES 401 REFERENCE S 40 3 INDE X 42 1
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id	DE-604.BV012847931
illustrated	Illustrated
indexdate	2024-07-09T18:34:47Z
institution	BVB
isbn	0387988483
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008743186
oclc_num	41002675
open_access_boolean
owner	DE-703 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-824 DE-521 DE-11 DE-188
owner_facet	DE-703 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-824 DE-521 DE-11 DE-188
physical	XV, 427 S. graph. Darst.
publishDate	1999
publishDateSearch	1999
publishDateSort	1999
publisher	Springer
record_format	marc
series2	Springer series in statistics
spelling	Rao, Calyampudi Radhakrishna 1920-2023 Verfasser (DE-588)119285924 aut Linear models least squares and alternatives C. Radhakrishna Rao ; Helge Toutenburg. With contributions by Andreas Fieger 2. ed. New York [u.a.] Springer 1999 XV, 427 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Literaturverz. S. 403 - 419. - Ab 3. Aufl. u.d.T.: Linear Models and generalizations Kleinste-kwadratenmethode gtt Lineaire analyse gtt Lineaire modellen gtt Modèles linéaires (Statistique) Linear models (Statistics) Statistik (DE-588)4056995-0 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Lineares Modell (DE-588)4134827-8 gnd rswk-swf Ökonometrie (DE-588)4132280-0 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Wirtschaftstheorie (DE-588)4079351-5 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Lineares Modell (DE-588)4134827-8 s Statistik (DE-588)4056995-0 s DE-604 Lineare Optimierung (DE-588)4035816-1 s Wirtschaftstheorie (DE-588)4079351-5 s Statistische Analyse (DE-588)4116599-8 s 1\p DE-604 Ökonometrie (DE-588)4132280-0 s 2\p DE-604 Matrizenrechnung (DE-588)4126963-9 s 3\p DE-604 Toutenburg, Helge 1943-2009 Verfasser (DE-588)107164310 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008743186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Rao, Calyampudi Radhakrishna 1920-2023 Toutenburg, Helge 1943-2009 Linear models least squares and alternatives Kleinste-kwadratenmethode gtt Lineaire analyse gtt Lineaire modellen gtt Modèles linéaires (Statistique) Linear models (Statistics) Statistik (DE-588)4056995-0 gnd Matrizenrechnung (DE-588)4126963-9 gnd Lineares Modell (DE-588)4134827-8 gnd Ökonometrie (DE-588)4132280-0 gnd Statistische Analyse (DE-588)4116599-8 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Lineare Optimierung (DE-588)4035816-1 gnd
subject_GND	(DE-588)4056995-0 (DE-588)4126963-9 (DE-588)4134827-8 (DE-588)4132280-0 (DE-588)4116599-8 (DE-588)4079351-5 (DE-588)4035816-1
title	Linear models least squares and alternatives
title_auth	Linear models least squares and alternatives
title_exact_search	Linear models least squares and alternatives
title_full	Linear models least squares and alternatives C. Radhakrishna Rao ; Helge Toutenburg. With contributions by Andreas Fieger
title_fullStr	Linear models least squares and alternatives C. Radhakrishna Rao ; Helge Toutenburg. With contributions by Andreas Fieger
title_full_unstemmed	Linear models least squares and alternatives C. Radhakrishna Rao ; Helge Toutenburg. With contributions by Andreas Fieger
title_short	Linear models
title_sort	linear models least squares and alternatives
title_sub	least squares and alternatives
topic	Kleinste-kwadratenmethode gtt Lineaire analyse gtt Lineaire modellen gtt Modèles linéaires (Statistique) Linear models (Statistics) Statistik (DE-588)4056995-0 gnd Matrizenrechnung (DE-588)4126963-9 gnd Lineares Modell (DE-588)4134827-8 gnd Ökonometrie (DE-588)4132280-0 gnd Statistische Analyse (DE-588)4116599-8 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Lineare Optimierung (DE-588)4035816-1 gnd
topic_facet	Kleinste-kwadratenmethode Lineaire analyse Lineaire modellen Modèles linéaires (Statistique) Linear models (Statistics) Statistik Matrizenrechnung Lineares Modell Ökonometrie Statistische Analyse Wirtschaftstheorie Lineare Optimierung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008743186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT raocalyampudiradhakrishna linearmodelsleastsquaresandalternatives AT toutenburghelge linearmodelsleastsquaresandalternatives

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