I would like to test the null hypothesis that the skewness/kurtosis of 2 times series variable are the same. Anyone knows how to do that? Here is the data I want to test:
Code:
* Example generated by -dataex-. To install: ssc install dataex clear input double(ym CAR_S CAR_O_nfa_ldc) 193 -4.955649465375698 -3.8222908876249586 194 -6.339490131920598 .45080273892962125 195 -2.2085909105983883 -.6179821263780844 196 5.0697072999447546 4.853603749382459 197 1.5230009468702013 1.6698689437690393 198 .4465776036932692 1.2858155950786008 199 1.6849011886329255 1.9788028967835165 200 -.3153071843080411 3.7838106689085174 201 1.0034142523957397 3.8224226684251192 202 3.173579966108508 5.880899632945267 203 .3626220170161193 .4629327062299496 204 3.7606463036604745 2.35712170275687 205 1.6097575927271197 2.6067080524400974 206 1.5511188873208348 1.8095973829902647 207 -.5901847848517586 -.8446729661241642 208 1.022720013505459 .08610774837424598 209 .8956018347505074 1.5274298112871345 210 -9.06956574407067 -8.409000032998636 211 -4.356956415343178 -5.393923770336309 212 .8692812643197029 .7733618521825194 213 2.155593145782702 .5354039158925037 214 -1.105166282830968 -.31180861527652454 215 -1.9155843469957576 2.583693221826199 216 2.394801626547746 .28177318987638145 217 .24130812262438894 1.3063442762314672 218 4.677405785053766 4.625623603692582 219 2.5613313637882698 .1466051060229383 220 .9572651020898989 1.0524654754674234 221 .5885842700802983 -.03266648743937006 222 -2.341790344477331 1.493709019443 223 1.0768635318696078 -1.1502935208915193 224 .5129555054158106 1.9117178759084181 225 1.8504713044698482 1.9835807333741196 226 5.721799946508766 -.2902109454957138 227 -.40342807934669833 1.0154955813198254 228 3.986336890125122 1.8690407305968473 229 .8113956057296925 1.1571709089150841 230 4.813445457096 3.6293097678105912 231 2.45576711718332 1.957067104112343 232 .21289686762756188 -.2351977529984821 233 1.712487596677481 2.4569489937697067 234 1.1436768405005182 1.2824974670075853 235 2.6345094579980612 .2697967996157327 236 -.007732036831873401 -.5947900148144188 237 3.590608189676082 1.6101753747026455 238 1.2159039510371559 2.691045356085326 239 -.5466841823464981 .40658558469195055 240 1.5514306796014525 .45316660174931284 241 2.894552477629012 1.9713206862606931 242 -.9724231404096386 -.22528384709012084 243 -3.388116209394454 -2.2039914725119307 244 2.2770837124208687 2.4592793257762535 245 -.047009329370436115 .1601925543385086 246 1.1231010098306924 .4103199092875782 247 1.0156940088288544 1.0233592179250084 248 .9350310254615996 2.2624786337386804 249 1.4001954350949577 .8236373715254515 250 -.19086276571913174 -.5886176037433576 251 -1.730841501540115 3.53589482017064 252 3.3265604119056746 3.558965532919196 253 -.6055385093723238 2.1916018183876487 254 -.2330857297221054 1.2016143982143226 255 2.0090884593451213 1.0958436485618637 256 .8087691581694171 1.19532710587656 257 -.860190504754828 3.581939545650443 258 2.783416631801735 1.13010422151994 259 .4189224092838906 1.7072894243048575 260 2.5616379593537895 5.041305946210544 261 -1.7545000467375578 1.3139345644494669 262 -2.4181270254237512 -2.557769799245747 263 1.3396784957990593 1.5085871886990436 264 1.1709206337278675 -.27773807834185277 265 -1.320829458386171 -1.2886039709061508 266 .462360687258057 1.8805558991954812 267 1.9000914417279373 1.5772835433767274 268 2.9679684801061432 1.911257790288837 269 -.9998566749570248 -.5736862403666915 270 1.012491305122047 1.3793226534332548 271 -.13482369096798166 .4290034560102027 272 1.4429577138271052 1.3484736023952417 273 .4836774477703438 -.42005381381439155 274 -1.9621027902266837 3.5066590907054405 275 -1.7251334281134019 .8796126623387898 276 .8021924416397117 1.6578914094836674 277 1.5691281499534069 2.199078233723447 278 -1.7022888575502682 .3234252794616052 279 1.046120612915143 -1.432332740230652 280 .9219742775645444 .5533483607959503 281 -.7226977368491909 -.6685529269399398 282 1.1101008297093193 .6270276862676745 283 1.0807732720386911 .5688294967534715 284 -.543479577743237 1.3019349744926854 285 .9559707941618126 .6803757887043081 286 1.29348537214153 1.265905459152967 287 .25298857629446225 .25250016714643936 288 1.9385891487724078 1.770469223092431 289 .14288137609656726 1.086710791285562 290 .7208830272759534 1.19936252229292 291 2.251307370696712 .614204951239065 292 .7799676743364827 .6663006579543699 end format %tm ym
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