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%\title{Weibull model}
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\noindent
\textbf{Weibull  model} equation is:
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N_t=N_0 \times 10^a
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where:
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a=-(t / D)^p
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 $t$ is  time. The parameters to estimate are $D$, $p$ and $N_0$.
\newline
The noisy output is defined as:
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N_t=(1-\%noise)*N_t + \xi (N_t \times \%noise)
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where $\xi$ is random numbers from Poisson distribution with mean parameter $N_t \times \%noise$.


\paragraph{}
\begin{flushleft}\textbf{Example of Weibull curve}\\
Time unit is hour.  Maximal time is 500h.
$D=300$, $p=3$ and $N_0=1000$
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