1 Correction to: Social Indicators Research https://doi.org/10.1007/s11205-020-02440-6

In the original publication of this article, the Equations 16, 17, 26, 28 and 30 has been published incorrectly. The correct equations are provided here.

Equation (16) should be:

$$\begin{aligned} a^k=a^{k-1}+\exp \left\{ \frac{{\sigma _{1,k}^2\sigma _{2,k}^2}}{\sigma _{2,k}^2-\sigma _{1,k}^2}\left[ \left( \frac{\mu _{1,k}}{\sigma _{1,k}^2}-\frac{\mu _{2,k}}{\sigma _{2,k}^2}\right) -\sqrt{\Delta _k}\right] \right\} , \end{aligned}$$

Equation (17) should be:

$$\begin{aligned} \Delta _k=\left( \frac{\mu _{1,k}}{\sigma _{1,k}^2}-\frac{\mu _{2,k}}{\sigma _{2,k}^2}\right) ^2+\left( 2\ln \left( \frac{\sigma _{2,k}w_k}{\sigma _{1,k}(1-w_k)}\right) {-}\left( \frac{\mu _{1,k}}{\sigma _{1,k}}\right) ^2{+}\left( \frac{\mu _{2,k}}{\sigma _{2,k}}\right) ^2\right) \frac{(\sigma _{2,k}^2-\sigma _{1,k}^2)}{{\sigma _{1,k}^2\sigma _{2,k}^2}}. \end{aligned}$$

Equation (26) should be:

$$\begin{aligned} \Delta =\left( \frac{\mu _1}{\sigma _1^2}-\frac{\mu _2}{\sigma _2^2}\right) ^2+\left( 2\ln \left( \frac{\sigma _2w}{\sigma _1(1-w)}\right) {-}\left( \frac{\mu _1}{\sigma _1}\right) ^2{+}\left( \frac{\mu _2}{\sigma _2}\right) ^2\right) \frac{(\sigma _2^2-\sigma _1^2)}{{\sigma _1^2\sigma _2^2}}\ge 0. \end{aligned}$$

Equation (28) should be:

$$\begin{aligned} a_{\pm }=\exp \left\{ \frac{{\sigma _1^2\sigma _2^2}}{\sigma _2^2-\sigma _1^2}\left[ \ \left( \frac{\mu _1}{\sigma _1^2}-\frac{\mu _2}{\sigma _2^2}\right) \pm \sqrt{\Delta }\ \right] \right\} . \end{aligned}$$

Equation (30) should be:

$$\begin{aligned} \ln (a_\pm )=\frac{{\sigma _1^2\sigma _2^2}}{\sigma _2^2-\sigma _1^2}\left[ \ \left( \frac{\mu _1}{\sigma _1^2}-\frac{\mu _2}{\sigma _2^2}\right) \pm \sqrt{\left( \frac{\mu _1}{\sigma _1^2}-\frac{\mu _2}{\sigma _2^2}\right) ^2+\left( 2\ln \left( \frac{\sigma _2w}{\sigma _1(1-w)}\right) {-}\left( \frac{\mu _1}{\sigma _1}\right) ^2{+}\left( \frac{\mu _2}{\sigma _2}\right) ^2\right) \frac{(\sigma _2^2-\sigma _1^2)}{{\sigma _1^2\sigma _2^2}}}\ \right] . \end{aligned}$$