\[ \begin{array}{rcl} y_0 (t , a) & = & a_0 * \exp( - a_1 * t ) \\ y_1 (t , a) & = & a_0 * a_1 * \frac{\exp( - a_2 * t ) - \exp( -a_1 * t )}{ a_1 - a_2 } \end{array} \]
\bar{a}_0 = 1
y_0 (t, a)
\bar{a}_1 = 2
\bar{a}_2 = 1
\sigma = 0
e_k = 0
k = 1 , 2 , 3, 4
s_k = k * .5
\[ \begin{array}{rcl} z_k & = & y_1 ( s_k , \bar{a} ) + e_k \\ & = & \bar{a}_0 * \bar{a}_1 * \frac{\exp( - \bar{a}_2 * s_k ) - \exp( -\bar{a}_1 * s_k )} { \bar{a}_1 - \bar{a}_2 } \end{array} \]
k = 1, 2, 3, 4