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I need real life bivariate datasets, with authentic sources, with with the following characteristics:

  1. Data can be modelled by the non-linear relationships of the form

yi = α0 + α1* e^(β* ti) + εi,

or, yi = α1* e^(β1* ti) + α2* e^(β2* ti) + εi

Here the parameters α's and β's may be positive or negative as well and $\epsilon_i$'s are iid random errors. Common real life examples may be found in exponential decay or growth data.

  1. The data set must include Outliers/Unusual observations as I want to perform Robust estimation.
  2. Proper authentic source of the data set is needed.

Please help me in finding such real life data sets.

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