Table 2 Simulated data example
Simulated data distribution | ||||
|---|---|---|---|---|
Bin(b=3, p ∗=0.667) | Pois(μ ∗=6) | NB(n=3, p=0.333) | ||
\(\hat {\mu }_{*}\) (SE) | 2.0000(0.1414) | 6.1100(0.2472) | 5.3000(0.2302) | |
Pois. | log(L) | -144.8109 | -228.1811 | -288.0710 |
AIC | 291.6218 | 458.3623 | 578.1419 | |
BIC | 294.2270 | 460.9675 | 580.7471 | |
\(\hat {\mu }\) (SE) | 1.9999(0.1419) | 6.1100(0.2503) | 5.3001(0.3632) | |
\(\hat {\theta }\) (SE) | 276.5396(394.3489) | 239.7812(421.0122) | 3.5599(0.8564) | |
NB | log(L) | -145.0563 | -228.3236 | -258.7486 |
AIC | 294.1126 | 460.6472 | 521.4971 | |
BIC | 299.3229 | 465.8575 | 526.7075 | |
\(\hat {\lambda }\) (SE) | 18.7071(8.9855) | 6.9145(2.1193) | 1.5576(0.2079) | |
\(\hat {\nu }\) (SE) | 3.3931(0.5024) | 1.0653(0.1603) | 0.3150(0.0708) | |
CMP/sCMP(m=1) | log(L) | -123.2624 | -228.0950 | -260.3649 |
AIC | 250.5248 | 460.1900 | 524.7298 | |
BIC | 255.7351 | 465.4003 | 529.9402 | |
\(\hat {\lambda }\) (SE) | 4.2531(0.9494) | 3.4046(0.8152) | 0.9309(0.1109) | |
\(\hat {\nu }\) (SE) | 4.2854(0.4998) | 1.0838(0.1826) | 0.1674(0.0825) | |
sCMP(m=2) | log(L) | -120.8816 | -228.0722 | -259.3193 |
AIC | 245.7632 | 460.1444 | 522.6386 | |
BIC | 250.9735 | 465.3547 | 527.8489 | |
\(\hat {\lambda }\) (SE) | 2.0000(0.2450) | 2.2683(0.4822) | 0.6709(0.0576) | |
\(\hat {\nu }\) (SE) | 33.6942(12536.57) | 1.1093(0.2127) | 0.0392(0.0698) | |
sCMP(m=3) | log(L) | -116.2486 | -228.0418 | -258.8683 |
AIC | 236.4972 | 460.0836 | 521.7366 | |
BIC | 241.7075 | 465.2939 | 526.9469 | |
\(\hat {\lambda }\) (SE) | 1.0000(0.1000) | 1.7044(0.3382) | 0.5700(0.0486) | |
\(\hat {\nu }\) (SE) | 32.5126(12322.57) | 1.1381(0.2469) | 0.0000(0.0826) | |
sCMP(m=4) | log(L) | -124.7123 | -228.0175 | -258.8470 |
AIC | 253.4246 | 460.0350 | 521.6940 | |
BIC | 258.6349 | 465.2453 | 526.9043 | |