Table 3.

Bootstrap committee network construction (adopted and modified from Chetchotsak and Twomey 2007)

(i) Let ${\mathbf{T}}^{+}\Leftarrow \mathbf{A}\cup \mathbf{B}$, where $\mathbf{A}$ belongs to class I and $\mathbf{B}$ to class II

(ii) Let $\widehat{F}$ be the empirical probability distribution where $\mathbf{A}$ and $\mathbf{B}$ each with $u$ observations are drawn

(iii) Let $a_1^{},a_2^{},\dots ,a_u^{}$ be a collection of $\mathbf{A}$ and $b_1^{},b_2^{},\dots ,b_u^{}$ be a collection of $\mathbf{B}$, where $a_i=(x_i,y_i=0)$ and $b_i=(x_i,y_i=1)$, $i=1,2,\dots ,u$

(iv) Specify the number of bootstrap samples, $r$ to produce ${\mathbf{A}}_j^{\ast }$ and ${\mathbf{B}}_j^{\ast }$, $j=1,2,\dots ,r$

(v) For each of ${\mathbf{A}}_j^{\ast }$ and ${\mathbf{B}}_j^{\ast }$, $a_i$ is randomly chosen from $\mathbf{A}$ and $b_i$ from $\mathbf{B}$ for $i=1,2,\dots ,u$ with replacement and equal probability mass $\frac{1}{u}$

(vi) Repeat step (v) r times to construct ${\mathbf{A}}_j^{\ast }$ and ${\mathbf{B}}_j^{\ast }$, $j=1,2,\dots ,r$

(vii) ${\mathbf{T}}_j^{\ast }\Leftarrow$ ${\mathbf{A}}_j^{\ast }\cup {\mathbf{B}}_j^{\ast }$, $j=1,2,\dots ,r$

(viii) Train each of the committee members using ${\mathrm{T}}_j^{\ast }$, where $j=1,2,\dots ,r$

(ix) Form a committee network using majority voting scheme

(x) END