id sid tid token lemma pos tm70ms3912v 1 1 ridge ridge PROPN tm70ms3912v 1 2 generalized generalize VERB tm70ms3912v 1 3 least least ADJ tm70ms3912v 1 4 squares square NOUN tm70ms3912v 1 5 ( ( PUNCT tm70ms3912v 1 6 rgls rgls PROPN tm70ms3912v 1 7 ) ) PUNCT tm70ms3912v 1 8 is be AUX tm70ms3912v 1 9 a a DET tm70ms3912v 1 10 recently recently ADV tm70ms3912v 1 11 proposed propose VERB tm70ms3912v 1 12 estimation estimation NOUN tm70ms3912v 1 13 procedure procedure NOUN tm70ms3912v 1 14 for for ADP tm70ms3912v 1 15 structural structural ADJ tm70ms3912v 1 16 equation equation NOUN tm70ms3912v 1 17 modeling modeling NOUN tm70ms3912v 1 18 ( ( PUNCT tm70ms3912v 1 19 sem sem PROPN tm70ms3912v 1 20 ) ) PUNCT tm70ms3912v 1 21 . . PUNCT tm70ms3912v 2 1 the the DET tm70ms3912v 2 2 weight weight NOUN tm70ms3912v 2 3 matrix matrix NOUN tm70ms3912v 2 4 for for ADP tm70ms3912v 2 5 rgls rgls NOUN tm70ms3912v 2 6 is be AUX tm70ms3912v 2 7 obtained obtain VERB tm70ms3912v 2 8 by by ADP tm70ms3912v 2 9 combining combine VERB tm70ms3912v 2 10 the the DET tm70ms3912v 2 11 sample sample NOUN tm70ms3912v 2 12 fourth fourth ADJ tm70ms3912v 2 13 - - PUNCT tm70ms3912v 2 14 order order NOUN tm70ms3912v 2 15 moment moment NOUN tm70ms3912v 2 16 matrix matrix NOUN tm70ms3912v 2 17 with with ADP tm70ms3912v 2 18 the the DET tm70ms3912v 2 19 identity identity NOUN tm70ms3912v 2 20 matrix matrix NOUN tm70ms3912v 2 21 , , PUNCT tm70ms3912v 2 22 and and CCONJ tm70ms3912v 2 23 the the DET tm70ms3912v 2 24 relative relative ADJ tm70ms3912v 2 25 contribution contribution NOUN tm70ms3912v 2 26 of of ADP tm70ms3912v 2 27 each each DET tm70ms3912v 2 28 matrix matrix NOUN tm70ms3912v 2 29 is be AUX tm70ms3912v 2 30 determined determine VERB tm70ms3912v 2 31 by by ADP tm70ms3912v 2 32 a a DET tm70ms3912v 2 33 ridge ridge NOUN tm70ms3912v 2 34 tuning tune VERB tm70ms3912v 2 35 parameter parameter NOUN tm70ms3912v 2 36 . . PUNCT tm70ms3912v 3 1 empirical empirical ADJ tm70ms3912v 3 2 results result NOUN tm70ms3912v 3 3 showed show VERB tm70ms3912v 3 4 that that SCONJ tm70ms3912v 3 5 , , PUNCT tm70ms3912v 3 6 with with ADP tm70ms3912v 3 7 nonnormally nonnormally ADV tm70ms3912v 3 8 distributed distribute VERB tm70ms3912v 3 9 data datum NOUN tm70ms3912v 3 10 , , PUNCT tm70ms3912v 3 11 parameter parameter NOUN tm70ms3912v 3 12 estimates estimate NOUN tm70ms3912v 3 13 by by ADP tm70ms3912v 3 14 rgls rgl NOUN tm70ms3912v 3 15 can can AUX tm70ms3912v 3 16 be be AUX tm70ms3912v 3 17 much much ADV tm70ms3912v 3 18 more more ADV tm70ms3912v 3 19 accurate accurate ADJ tm70ms3912v 3 20 than than ADP tm70ms3912v 3 21 those those PRON tm70ms3912v 3 22 by by ADP tm70ms3912v 3 23 the the DET tm70ms3912v 3 24 traditional traditional ADJ tm70ms3912v 3 25 methods method NOUN tm70ms3912v 3 26 . . PUNCT tm70ms3912v 4 1 however however ADV tm70ms3912v 4 2 , , PUNCT tm70ms3912v 4 3 test test NOUN tm70ms3912v 4 4 statistics statistic NOUN tm70ms3912v 4 5 following follow VERB tm70ms3912v 4 6 rgls rgl NOUN tm70ms3912v 4 7 are be AUX tm70ms3912v 4 8 still still ADV tm70ms3912v 4 9 unable unable ADJ tm70ms3912v 4 10 to to PART tm70ms3912v 4 11 control control VERB tm70ms3912v 4 12 type type NOUN tm70ms3912v 4 13 i i PRON tm70ms3912v 4 14 errors error VERB tm70ms3912v 4 15 well well ADV tm70ms3912v 4 16 , , PUNCT tm70ms3912v 4 17 especially especially ADV tm70ms3912v 4 18 when when SCONJ tm70ms3912v 4 19 the the DET tm70ms3912v 4 20 sample sample NOUN tm70ms3912v 4 21 size size NOUN tm70ms3912v 4 22 is be AUX tm70ms3912v 4 23 small small ADJ tm70ms3912v 4 24 . . PUNCT tm70ms3912v 5 1 this this DET tm70ms3912v 5 2 dissertation dissertation NOUN tm70ms3912v 5 3 proposes propose VERB tm70ms3912v 5 4 to to PART tm70ms3912v 5 5 optimize optimize VERB tm70ms3912v 5 6 the the DET tm70ms3912v 5 7 rgls rgls NOUN tm70ms3912v 5 8 procedure procedure NOUN tm70ms3912v 5 9 in in ADP tm70ms3912v 5 10 three three NUM tm70ms3912v 5 11 directions direction NOUN tm70ms3912v 5 12 . . PUNCT tm70ms3912v 6 1 first first ADJ tm70ms3912v 6 2 , , PUNCT tm70ms3912v 6 3 formulas formula NOUN tm70ms3912v 6 4 are be AUX tm70ms3912v 6 5 developed develop VERB tm70ms3912v 6 6 for for ADP tm70ms3912v 6 7 the the DET tm70ms3912v 6 8 ridge ridge PROPN tm70ms3912v 6 9 tuning tune VERB tm70ms3912v 6 10 parameter parameter NOUN tm70ms3912v 6 11 to to PART tm70ms3912v 6 12 yield yield VERB tm70ms3912v 6 13 the the DET tm70ms3912v 6 14 most most ADV tm70ms3912v 6 15 efficient efficient ADJ tm70ms3912v 6 16 parameter parameter NOUN tm70ms3912v 6 17 estimates estimate NOUN tm70ms3912v 6 18 in in ADP tm70ms3912v 6 19 practice practice NOUN tm70ms3912v 6 20 . . PUNCT tm70ms3912v 7 1 second second ADJ tm70ms3912v 7 2 , , PUNCT tm70ms3912v 7 3 corrections correction NOUN tm70ms3912v 7 4 are be AUX tm70ms3912v 7 5 developed develop VERB tm70ms3912v 7 6 for for ADP tm70ms3912v 7 7 the the DET tm70ms3912v 7 8 test test NOUN tm70ms3912v 7 9 statistics statistic NOUN tm70ms3912v 7 10 following follow VERB tm70ms3912v 7 11 rgls rgl NOUN tm70ms3912v 7 12 to to PART tm70ms3912v 7 13 yield yield VERB tm70ms3912v 7 14 well well ADV tm70ms3912v 7 15 - - PUNCT tm70ms3912v 7 16 controlled control VERB tm70ms3912v 7 17 type type NOUN tm70ms3912v 7 18 i i PRON tm70ms3912v 7 19 errors error NOUN tm70ms3912v 7 20 . . PUNCT tm70ms3912v 8 1 third third ADJ tm70ms3912v 8 2 , , PUNCT tm70ms3912v 8 3 corrected correct VERB tm70ms3912v 8 4 formulas formula NOUN tm70ms3912v 8 5 are be AUX tm70ms3912v 8 6 developed develop VERB tm70ms3912v 8 7 for for ADP tm70ms3912v 8 8 the the DET tm70ms3912v 8 9 standard standard ADJ tm70ms3912v 8 10 errors error NOUN tm70ms3912v 8 11 of of ADP tm70ms3912v 8 12 rgls rgl NOUN tm70ms3912v 8 13 estimates estimate VERB tm70ms3912v 8 14 to to PART tm70ms3912v 8 15 be be AUX tm70ms3912v 8 16 more more ADV tm70ms3912v 8 17 accurate accurate ADJ tm70ms3912v 8 18 . . PUNCT tm70ms3912v 9 1 for for SCONJ tm70ms3912v 9 2 the the DET tm70ms3912v 9 3 formulas formula NOUN tm70ms3912v 9 4 and and CCONJ tm70ms3912v 9 5 corrections correction NOUN tm70ms3912v 9 6 to to PART tm70ms3912v 9 7 have have VERB tm70ms3912v 9 8 a a DET tm70ms3912v 9 9 wide wide ADJ tm70ms3912v 9 10 scope scope NOUN tm70ms3912v 9 11 of of ADP tm70ms3912v 9 12 applicability applicability NOUN tm70ms3912v 9 13 , , PUNCT tm70ms3912v 9 14 they they PRON tm70ms3912v 9 15 are be AUX tm70ms3912v 9 16 calibrated calibrate VERB tm70ms3912v 9 17 using use VERB tm70ms3912v 9 18 monte monte PROPN tm70ms3912v 9 19 carlo carlo PROPN tm70ms3912v 9 20 simulation simulation PROPN tm70ms3912v 9 21 with with ADP tm70ms3912v 9 22 many many ADJ tm70ms3912v 9 23 conditions condition NOUN tm70ms3912v 9 24 on on ADP tm70ms3912v 9 25 population population NOUN tm70ms3912v 9 26 distribution distribution NOUN tm70ms3912v 9 27 , , PUNCT tm70ms3912v 9 28 sample sample NOUN tm70ms3912v 9 29 size size NOUN tm70ms3912v 9 30 , , PUNCT tm70ms3912v 9 31 number number NOUN tm70ms3912v 9 32 of of ADP tm70ms3912v 9 33 variables variable NOUN tm70ms3912v 9 34 and and CCONJ tm70ms3912v 9 35 model model NOUN tm70ms3912v 9 36 structure structure NOUN tm70ms3912v 9 37 . . PUNCT tm70ms3912v 10 1 the the DET tm70ms3912v 10 2 validity validity NOUN tm70ms3912v 10 3 of of ADP tm70ms3912v 10 4 the the DET tm70ms3912v 10 5 formulas formula NOUN tm70ms3912v 10 6 and and CCONJ tm70ms3912v 10 7 corrections correction NOUN tm70ms3912v 10 8 are be AUX tm70ms3912v 10 9 examined examine VERB tm70ms3912v 10 10 via via ADP tm70ms3912v 10 11 an an DET tm70ms3912v 10 12 independent independent ADJ tm70ms3912v 10 13 simulation simulation NOUN tm70ms3912v 10 14 study study NOUN tm70ms3912v 10 15 . . PUNCT