Solutionsg Manualg for
StatisticalgInference,gSecondgEdition
GeorgegCasellag Rogerg L.g Berger
UniversitygofgFlorid NorthgCarolinagStategUniversityg Dam
a arisgSantana
Universityg ofg Florida
,0-2 Solutionsg Manualg forg Statisticalg Inference
“WhengIgheargyouggivegyourgreasons,”gIgremarked, g“thegthinggalwaysgappearsgtogmegtogb
egsog ridiculouslygsimplegthatgIgcouldgeasilygdogitgmyself,gthoughgatgeachgsuccessiveginsta
ncegofgyourg reasoninggIgamgbaffledguntilgyougexplain gyourgprocess.”
Dr.g Watsong tog Sherlockg Holmes
Ag Scandalg ing Bohemia
0.1 Description
Thisgsolutionsgmanualgcontainsgsolutionsgforgallgoddgnumberedgproblemsgplusgaglargegnumbergof
g solutionsgforgevengnumberedgproblems.gOfgtheg624gexercisesgingStatisticalgInference,gSecondgEdi
tion,g thisgmanualggivesgsolutionsgforg484g(78%)gofgthem.gTheregisgangobtusegpatterngasgtogwhi
chgsolutionsg weregincludedgingthisgmanual.gWegassembledgallgofgthegsolutionsgthatgweghadgfro
mgthegfirstgedition,g andgfilledgingsogthatgallgodd-
numberedgproblemsgweregdone.gIngthegpassagegfromgthegfirstgtogtheg secondgedition,gproblems
gweregshuffledgwithgnogattentiongpaidgtognumberingg(hencegnogattentiong paidgtogminimizegthe
gnewgeffort),gbutgrathergwegtriedgtogputgthegproblemsginglogicalgorder.
Agmajorgchangegfromgthegfirstgeditiongisgthegusegofgthegcomputer,gbothgsymbolicallygthrough
g MathematicatmgandgnumericallygusinggR.gSomegsolutionsgareggivengasgcodegingeithergofgtheseg
lan-
g guages.gMathematicatmgcangbegpurchasedgfromgWolframgResearch,gandgRgisgagfreegdownloadgf
romg http://www.r-project.org/.
Heregisgagdetailedglistinggofg thegsolutionsgincluded.
Chapter Numberg ofg Exercises Numberg ofg Solutions Missing
1 55 51 26,g30,g36,g42
2 40 37 34,g38,g40
3 50 42 4,g6,g10,g20,g30,g32,g34,g36
4 65 52 8,g14,g22,g28,g36,g40
48,g50,g52,g56,g58,g60,g62
5 69 46 2,g4,g12,g14,g26,g28
allg eveng problemsg fromg 36g−g68
6 43 35 8,g16,g26,g28,g34,g36,g38,g42
7 66 52 4,g14,g16,g28,g30,g32,g34,
36,g42,g54,g58,g60,g62,g64
8 58 51 36,g40,g46,g48,g52,g56,g58
9 58 41 2,g8,g10,g20,g22,g24,g26,g28,g30
32,g38,g40,g42,g44,g50,g54,g56
10 48 26 allgevengproblemsgexceptg 4gandg3
2
11 41 35 4,g20,g22,g24,g26,g40
12 31 16 allgevengproblems
0.2 Acknowledgement
Manyg peopleg contributedg tog theg assemblyg ofg thisg solutionsg manual.g Weg againg thankg allg ofg
thoseg whogcontributedgsolutionsgtogthegfirstgeditiong–
gmanygproblemsghavegcarriedgovergintogthegsecondg edition.gMoreover,gthroughoutgthegyearsgag
numbergofgpeopleghavegbeengingconstantgtouchgwithgus,g contributinggtogbothgthegpresentations
gandgsolutions.gWegapologizegingadvancegforgthosegwegforgetgtog mention,gandgwegespeciallygtha
nkgJaygBeder,gYonggSunggJoo,gMichaelgPerlman,gRobgStrawderman,g andgTomgWehrly.gThankg
yougallgforgyourghelp.
And,gasgwegsaidgthegfirstgtimegaround,galthoughgweghavegbenefitedggreatlygfromgthegassistancegand
, ACKNOWLEDGEMENT 0-3
commentsgofgothersgingthegassemblygofgthisgmanual,gwegaregresponsiblegforgitsgultimategcorrec
tness.g Togthisgend,gweghavegtriedgourgbestgbut,gasgagwisegmangoncegsaid,g“Yougpaysgyourgmon
eygandgyoug takesgyourgchances.”
GeorgegCasellag Ro
gergL.gBergerg Dam
arisgSantana
December,g 2001
StatisticalgInference,gSecondgEdition
GeorgegCasellag Rogerg L.g Berger
UniversitygofgFlorid NorthgCarolinagStategUniversityg Dam
a arisgSantana
Universityg ofg Florida
,0-2 Solutionsg Manualg forg Statisticalg Inference
“WhengIgheargyouggivegyourgreasons,”gIgremarked, g“thegthinggalwaysgappearsgtogmegtogb
egsog ridiculouslygsimplegthatgIgcouldgeasilygdogitgmyself,gthoughgatgeachgsuccessiveginsta
ncegofgyourg reasoninggIgamgbaffledguntilgyougexplain gyourgprocess.”
Dr.g Watsong tog Sherlockg Holmes
Ag Scandalg ing Bohemia
0.1 Description
Thisgsolutionsgmanualgcontainsgsolutionsgforgallgoddgnumberedgproblemsgplusgaglargegnumbergof
g solutionsgforgevengnumberedgproblems.gOfgtheg624gexercisesgingStatisticalgInference,gSecondgEdi
tion,g thisgmanualggivesgsolutionsgforg484g(78%)gofgthem.gTheregisgangobtusegpatterngasgtogwhi
chgsolutionsg weregincludedgingthisgmanual.gWegassembledgallgofgthegsolutionsgthatgweghadgfro
mgthegfirstgedition,g andgfilledgingsogthatgallgodd-
numberedgproblemsgweregdone.gIngthegpassagegfromgthegfirstgtogtheg secondgedition,gproblems
gweregshuffledgwithgnogattentiongpaidgtognumberingg(hencegnogattentiong paidgtogminimizegthe
gnewgeffort),gbutgrathergwegtriedgtogputgthegproblemsginglogicalgorder.
Agmajorgchangegfromgthegfirstgeditiongisgthegusegofgthegcomputer,gbothgsymbolicallygthrough
g MathematicatmgandgnumericallygusinggR.gSomegsolutionsgareggivengasgcodegingeithergofgtheseg
lan-
g guages.gMathematicatmgcangbegpurchasedgfromgWolframgResearch,gandgRgisgagfreegdownloadgf
romg http://www.r-project.org/.
Heregisgagdetailedglistinggofg thegsolutionsgincluded.
Chapter Numberg ofg Exercises Numberg ofg Solutions Missing
1 55 51 26,g30,g36,g42
2 40 37 34,g38,g40
3 50 42 4,g6,g10,g20,g30,g32,g34,g36
4 65 52 8,g14,g22,g28,g36,g40
48,g50,g52,g56,g58,g60,g62
5 69 46 2,g4,g12,g14,g26,g28
allg eveng problemsg fromg 36g−g68
6 43 35 8,g16,g26,g28,g34,g36,g38,g42
7 66 52 4,g14,g16,g28,g30,g32,g34,
36,g42,g54,g58,g60,g62,g64
8 58 51 36,g40,g46,g48,g52,g56,g58
9 58 41 2,g8,g10,g20,g22,g24,g26,g28,g30
32,g38,g40,g42,g44,g50,g54,g56
10 48 26 allgevengproblemsgexceptg 4gandg3
2
11 41 35 4,g20,g22,g24,g26,g40
12 31 16 allgevengproblems
0.2 Acknowledgement
Manyg peopleg contributedg tog theg assemblyg ofg thisg solutionsg manual.g Weg againg thankg allg ofg
thoseg whogcontributedgsolutionsgtogthegfirstgeditiong–
gmanygproblemsghavegcarriedgovergintogthegsecondg edition.gMoreover,gthroughoutgthegyearsgag
numbergofgpeopleghavegbeengingconstantgtouchgwithgus,g contributinggtogbothgthegpresentations
gandgsolutions.gWegapologizegingadvancegforgthosegwegforgetgtog mention,gandgwegespeciallygtha
nkgJaygBeder,gYonggSunggJoo,gMichaelgPerlman,gRobgStrawderman,g andgTomgWehrly.gThankg
yougallgforgyourghelp.
And,gasgwegsaidgthegfirstgtimegaround,galthoughgweghavegbenefitedggreatlygfromgthegassistancegand
, ACKNOWLEDGEMENT 0-3
commentsgofgothersgingthegassemblygofgthisgmanual,gwegaregresponsiblegforgitsgultimategcorrec
tness.g Togthisgend,gweghavegtriedgourgbestgbut,gasgagwisegmangoncegsaid,g“Yougpaysgyourgmon
eygandgyoug takesgyourgchances.”
GeorgegCasellag Ro
gergL.gBergerg Dam
arisgSantana
December,g 2001
