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Next, using the Lipschitz and linear growth conditions on F, applying Gronwall's inequality, taking the supremum over all t ∈ [ 0, T ] and estimating using the bound (61) yield sup t ∈ [ 0, T ] ∥ U t − U t N ∥ ≤ C ( ∥ U 0 − P N U 0 ∥ + ⦀ K − P N K ⦀ ( 1 + ∥ U 0 ∥ + sup t ∈ [ 0, T ] ∥ O t ∥ ) ) + C ( sup t ∈ [ 0, T ] ∥ O t − O t N ∥ ).
When estimating using the trend line, a future predicted value sometimes took less than 0. Therefore, we needed to set a "minimum value".
The model was estimating using the Gibbs sampling implementation of Markov Chain Monte Carlo (MCMC) [ 29], using the BUGS software program [ 30].
When estimating using the trend line, a future predicted value sometimes took less than 0. They are unlikely to reflect actual conditions.
Similar(56)
Survival curves were estimated using the Kaplan Meier estimator.
The survival function is estimated using the Kaplan-Meier estimator.
The parameters were estimated using the maximum likelihood estimator (MLE).
The potential evapotranspiration was estimated using the Hargreaves method while the runoff was estimated using the curve number method.
The receiver efficiency was estimated using the Power-On Method.
The choices are estimated using the logit procedure.
The friction drag is estimated using the classical ITTC formula.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com