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Results tagged with likelihood
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user 323424
Given a random variable $X$ which arise from a parameterized distribution $F(X;θ)$, the likelihood is defined as proportional to the probability of observed data as a function of $θ$: $\operatorname{L}(θ | x)=\operatorname{P}(X=x \mid θ)$
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Parameterization of Negative Binomial for Dynamical System Model Calibration/Fitting
Problem
In the case of $Poisson$ distribution, it is relatively easy to construct the likelihood for $R_0$ and $D_{inf}$ since all you have to do is to find $R_0$ and $D_{inf}$ that maximizes the likelihood … Generating likelihood we would have
\begin{align*}
L(R_0,D_{inf}|d_1,d_2,\dots,d_n)
&=\prod_{t=1}^n\frac{\Gamma (d_t+r_t)}{d_t! …
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