Table 7 Model selection for the \(\uplambda\) RM promoter data. The columns show the maximum likelihood estimates, the loglikelihood values, and the AICs, respectively
From: Statistical inference for a quasi birth–death model of RNA transcription
\({\varvec{q}}_{\textbf{on}}\) | \({\varvec{q}}_{\textbf{off}}\) | \({\boldsymbol{\uplambda}} _1\) | \({\boldsymbol{\uplambda}}_2\) | \({\boldsymbol{\uplambda}} _3\) | \({\mathbf{log }}{{\mathcal {L}}}\) | AIC | ||
|---|---|---|---|---|---|---|---|---|
Seq-1 | – | – | – | 0.0144 | – | – | − 3569.9 | 7141.8 |
Seq-2 | \(\uplambda _1 \le \uplambda _2\) | – | – | 0.0144 | 8.9245 | – | − 3569.4 | 7142.7 |
Seq-2 | \(\uplambda _2 \le \uplambda _1\) | – | – | 5.8876 | 0.0144 | – | − 3569.5 | 7143.1 |
Seq-3 | \(\uplambda _1 \le \uplambda _2 \le \uplambda _3\) | – | – | 0.0144 | 9.9536 | 9.9875 | − 3569.3 | 7144.6 |
Seq-3 | \(\uplambda _2 \le \uplambda _1 \le \uplambda _3\) | – | – | 5.8876 | 0.0144 | 6.0453 | − 3570.5 | 7147.0 |
Seq-3 | \(\uplambda _2 \le \uplambda _3 \le \uplambda _1\) | – | – | 5.8876 | 0.0144 | 5.7305 | − 3570.7 | 7147.3 |
On/off-seq-1 | – | 0.0249 | 0.0608 | 0.0496 | – | – | − 3475.2 | 6956.5 |
On/off-seq-2 | \(\uplambda _1 \le \uplambda _2\) | 0.0303 | 0.4089 | 0.2220 | 0.2221 | – | − 3474.8 | 6957.6 |
On/off-seq-2 | \(\uplambda _2 \le \uplambda _1\) | 0.0254 | 1.2284 | 0.7920 | 0.1416 | – | − 3468.2 | 6944.4 |
On/off-seq-3 | \(\uplambda _1 \le \uplambda _2 \le \uplambda _3\) | 0.0312 | 0.4410 | 0.2314 | 0.2314 | 9.9983 | − 3475.6 | 6961.3 |
On/off-seq-3 | \(\uplambda _2 \le \uplambda _1 \le \uplambda _3\) | 0.0255 | 2.4371 | 1.5558 | 0.1427 | 3.8107 | − 3466.5 | 6943.1 |
On/off-seq-3 | \(\uplambda _2 \le \uplambda _3 \le \uplambda _1\) | 0.0254 | 4.4154 | 2.8221 | 0.1423 | 2.6958 | − 3466.9 | 6943.7 |