KAIST Engine Laboratory Data Set Data set A

확률분포의 종류 KAIST Engine Laboratory

Data Set Data set A: 32개 267 564 21 218 435 308 481 272 284 199 574 462 523 131 246 578 47 470 256 505 47 377 285 123 194 210 283 658 630 35 75 384 Data set B: 38개 Data set C: 70개 KAIST Engine Laboratory 444 603 691 676 495 243 702 696 458 482 503 418 675 659 457 634 349 303 578 493 488 203 263 505 292 421 286 388 328 314 372 311 663 553 522 164 499 500

A. Data set 1 - 32개 KAIST Engine Laboratory

1. 대칭표본누적분포 Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

2. 평균 랭크(Mean Rank) Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

3. 메디안 랭크법(Median Rank) Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

4. 그 외의 방법 Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

눈으로 판단한 직진성 대칭표본 누적 분포법 평균 랭크법 메디안 랭크법 그 외의 방법 Normal Distribution ○ ○ Lognormal Distribution X X Weibull Distribution ○ ○ Biexponential Distribution X X KAIST Engine Laboratory

R(Correlation Coefficient) 비교 평균 랭크 대칭표본누적 R SD Nor 0. 986423 0. 15124 0. 37378 Log 0. 928881 0. 3411 0. 977942 0. 26216 Wei 0. 97634 0. 2459 0. 941669 0. 42237 Bie 0. 956901 0. 33025 R SD Nor 0. 981203 0. 19223 Log 0. 927092 Wei Bie 메디안 랭크 R SD Nor 0. 983926 0. 17183 Log 0. 929209 Wei Bie 그 외의 방법 R SD Nor 0. 983046 0. 17861 0. 35556 Log 0. 929209 0. 35997 0. 977758 0. 25176 Wei 0. 977942 0. 25467 0. 949431 0. 37686 Bie 0. 946895 0. 39203 KAIST Engine Laboratory

유의수준 N=32, α=0. 05, 0. 15 Normal α n D =0. 1546 Weibull, bi-exponential α =0. 159 n D D α n =0. 1334 D α n =0. 1314 KAIST Engine Laboratory

대칭표본 누적분포 검정 Normal • σ=191. 9386 • μ=317. 0864 기각 Normal Lognormal • σ=0. 970883 • μ=5. 486034 Weibull 기각 • m=191. 9386 • ξ=363. 7172 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=407. 1062 • ξ =158. 4786

평균 랭크법(Mean Rank) 검정 Normal • σ=206. 6116 • μ=317. 2045 Lognormal 기각 Normal Lognormal • σ=1. 045533 • μ=5. 48146 Weibull 기각 • m=1. 2392 • ξ=370. 7762 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=409. 4578 • ξ =172. 117

메디안 랭크법(Median Rank) 검정 Normal • σ=198. 0198 • μ=316. 8396 Normal 기각 Lognormal • σ=1. 00041 • μ=5. 481447 Weibull 기각 • m=1. 3098 • ξ=366. 7359 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=408. 3487 • ξ =164. 4737

그 외의 방법 검정 Normal • σ=195. 6947 • μ=316. 7241 Normal 기각 Lognormal • σ=0. 988172 • μ=5. 481467 Weibull 기각 • m=1. 33068 • ξ=365. 6354 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=407. 9464 • ξ =162. 3377

B. Data set 2 - 38개 KAIST Engine Laboratory

1. 대칭표본누적분포 Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

2. 평균 랭크(Mean Rank) Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

3. 메디안 랭크법(Median Rank) Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

4. 그 외의 방법 Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

눈으로 판단한 직진성 대칭표본 누적 분포법 평균 랭크법 메디안 랭크법 그 외의 방법 Normal Distribution △ △ Lognormal Distribution X X Weibull Distribution ○ ○ Biexponential Distribution X X KAIST Engine Laboratory

R(Correlation Coefficient) 비교 평균 랭크 대칭표본누적 R SD Nor 0. 98788 0. 1463 0. 24779 Log 0. 97084 0. 22598 0. 99056 0. 17486 Wei 0. 99315 0. 13639 0. 96328 0. 34254 Bie 0. 97395 0. 2648 R SD Nor 0. 98365 0. 18194 Log 0. 96946 Wei Bie 메디안 랭크 R SD Nor 0. 98586 0. 1642 Log 0. 9703 Wei Bie 그 외의 방법 R SD Nor 0. 98515 0. 17009 0. 23706 Log 0. 97005 0. 24063 0. 99222 0. 15259 Wei 0. 99175 0. 15937 0. 96877 0. 30392 Bie 0. 96699 0. 31675 KAIST Engine Laboratory

유의수준 N=38, α=0. 05, 0. 15 Normal α n D =0. 1426 Weibull, bi-exponential α =0. 147 n D D α n =0. 1232 D α n =0. 1272 KAIST Engine Laboratory

대칭표본 누적분포 검정 Normal • σ=153. 85 • μ=464. 19 기각 Normal Lognormal • σ=0. 378 • μ=6. 070 Weibull • m=3. 41071 • ξ=516. 67 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=534. 85 • ξ =124. 38

평균 랭크법(Mean Rank) 검정 Normal • σ=166. 67 • μ=471. 18 Lognormal Normal Lognormal • σ=0. 4048 • μ=6. 08 Weibull 기각 • m=3. 13 • ξ=519. 92 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=539. 84 • ξ =135. 14

메디안 랭크법(Median Rank) 검정 Normal • σ=158. 23 • μ=464. 07 Lognormal Normal Lognormal • σ=0. 3896 • μ=6. 0804 Weibull 기각 • m=3. 2825 • ξ=518. 06 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=540. 493 • ξ =129. 87

그 외의 방법 검정 Normal • σ=158. 73 • μ=470. 29 Lognormal Normal Lognormal • σ=0. 3855 • μ=6. 08037 Weibull 기각 • m=3. 3273 • ξ=517. 56 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=539. 79 • ξ =128. 21

Data set 2 결론 • KAIST Engine Laboratory

C. Data set 1+2 - 70개 KAIST Engine Laboratory

1. 대칭표본누적분포 Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

2. 평균 랭크(Mean Rank) Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

3. 메디안 랭크법(Median Rank) Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

4. 그 외의 방법 Normal Lognormal Weibull Bi-exponential KAIST Engine Laboratory

눈으로 판단한 직진성 대칭표본 누적 분포법 평균 랭크법 메디안 랭크법 그 외의 방법 Normal Distribution ○ ○ Lognormal Distribution X X Weibull Distribution △ △ Biexponential Distribution X X KAIST Engine Laboratory

R(Correlation Coefficient) 비교 평균 랭크 대칭표본누적 R SD Nor 0. 99024 0. 13407 0. 44289 Log 0. 89469 0. 42966 0. 96898 0. 31551 Wei 0. 96231 0. 32706 0. 96896 0. 31558 Bie 0. 9782 0. 24975 R SD Nor 0. 98688 0. 16233 Log 0. 89775 Wei Bie 메디안 랭크 R SD Nor 0. 98861 0. 14843 Log 0. 89646 Wei Bie 그 외의 방법 R SD Nor 0. 98804 0. 15309 0. 43696 Log 0. 89693 0. 43904 0. 96622 0. 32029 Wei 0. 96725 0. 31845 0. 97366 0. 28335 Bie 0. 97212 0. 29416 KAIST Engine Laboratory

유의수준 N=70, α=0. 05, 0. 15 Normal α n D =0. 106 Weibull, bi-exponential α =0. 110 n D D α n =0. 092 D α n =0. 095 KAIST Engine Laboratory

대칭표본 누적분포 검정 기각 Normal • σ=188. 6792 • μ=403. 1887 Normal 기각 Lognormal • σ=0. 8072 • μ=5. 8067 Weibull 기각 기각 • m=1. 6978 • ξ=465. 891 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=482. 43 • ξ =149. 03

평균 랭크법(Mean Rank) 검정 기각 Normal • σ=196. 078 • μ=402. 2353 Normal 기각 Lognormal • σ=0. 8466 • μ=5. 8066 Weibull 기각 기각 • m=1. 58843 • ξ=471. 4565 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=483. 335 • ξ =156. 495

메디안 랭크법(Median Rank) 검정 기각 Normal • σ=189. 036 • μ=396. 881 Normal 기각 Lognormal • σ=0. 8242 • μ=5. 8066 Weibull 기각 • m=1. 64809 • ξ=468. 219 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=487. 692 • ξ =153. 846

그 외의 방법 검정 기각 Normal • σ=187. 617 • μ=396. 4165 Lognormal Normal 기각 Lognormal • σ=0. 8181 • μ=5. 8068 Weibull 기각 • m=1. 66548 • ξ=467. 396 기각 Bi-exponential Weibull Bi-exponential KAIST Engine Laboratory • xo=482. 532 • ξ =151. 057

Data set 1+2 결론 • KAIST Engine Laboratory