Cummulative count of adopters

For each time period, calculates the number of adopters, the proportion of adopters, and the adoption rate.

cumulative_adopt_count(obj)

Arguments

obj

A \(n\times T\) matrix (Cumulative adoption matrix obtained from toa_mat) or a diffnet object.

Value

A \(3\times T\) matrix, where its rows contain the number of adoptes, the proportion of adopters and the rate of adoption respectively, for earch period of time.

Details

The rate of adoption–returned in the 3rd row out the resulting matrix–is calculated as

$$\frac{q_t - q_{t-1}}{q_{t-1}}$$

where \(q_i\) is the number of adopters in time \(t\). Note that it is only calculated fot \(t>1\).

See also

Other statistics: bass, classify_adopters(), dgr(), ego_variance(), exposure(), hazard_rate(), infection(), moran(), struct_equiv(), threshold(), vertex_covariate_dist()

Author

George G. Vega Yon & Thomas W. Valente