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In practice the pi,g in (3) and (4) will be unknown, and will be replaced by maximum likelihood estimates.
A zero-truncated binomial distribution (R-forge, 2008 2009), (n k ) p k (1 − p ) n − k 1 − (1 − p ) n, was fitted to the data of photobleaching steps by maximum likelihood estimates using Matlab (www.Mathworks.com) to determine the probability of functional GFP in fluorescent features containing up to four, five, or eight GFP molecules.
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(C ) Fits to zero-truncated binomial distributions with n = 5 (cyan) or n = 8 (green) by maximum likelihood estimate gave probabilities of 0.35 and 0.21, respectively.
A zero-truncated binomial distribution fit by maximum likelihood estimate with n = 4 to give a probability of 0.45 (red) (χ goodness-of-fit is 0.1712 and the model is acceptable).
The parameters of the failure distribution and maintenance effect of equipment are estimated by maximum likelihood estimation.
Subsequently, the parameters were estimated by maximum likelihood estimation.
The parameters are estimated by maximum likelihood estimation.
The parameters β = (β0,…, β m ) were estimated by maximum likelihood estimation.
The ordinary generalised linear model parameter vector β was estimated by maximum likelihood estimation.
Undetected values were imputed based on a log-normal probability distribution whose parameters were estimated by maximum likelihood estimation.
Recent population growth is also supported by maximum-likelihood estimates of positive growth rates (corrected g: southern clade: 1604; north-eastern clade: 3226).
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