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Table 3 Mean values of 1000 estimates for increasing values of n and \(N=350\), with corresponding standard deviation between brackets. On/off-seq-2 process with true parameter values: \(q_{\text {on}} = 0.1, q_{\text {off}} = 0.2, \uplambda _1 = 2, \uplambda _2 = 1, \mu =0.3\)

From: Statistical inference for a quasi birth–death model of RNA transcription

n

\({\varvec{q}}_{\textbf{on}}\)

\({\varvec{q}}_{\textbf{off}}\)

\({\boldsymbol{\uplambda}}_1\)

50

0.1151 (0.0069)

0.1732 (0.0249)

1.9214 (0.2848)

100

0.1072 (0.0045)

0.1847 (0.0190)

1.9607 (0.2063)

200

0.1035 (0.0032)

0.1911 (0.0133)

1.9756 (0.1455)

500

0.1015 (0.0018)

0.1967 (0.0091)

1.9913 (0.0934)

1000

0.1007 (0.0013)

0.1979 (0.0063)

1.9924 (0.0635)

n

\({\boldsymbol{\uplambda}}_2\)

\({\boldsymbol{\mu}}\)

 

50

1.0311 (0.1049)

0.3009 (0.0057)

 

100

1.0132 (0.0717)

0.3005 (0.0039)

 

200

1.0082 (0.0468)

0.3004 (0.0028)

 

500

1.0035 (0.0284)

0.3002 (0.0018)

 

1000

1.0023 (0.0194)

0.3001 (0.0013)