Algorithm 3: Generating adaptive type II progressive censored data from EHL($\lambda ,\sigma$).

1.Generate a Type II progressive censored sample from an exponentiated half-logistic distribution EHL($\lambda ,\sigma$) with initial values of $(R_1,R_2,\cdots ,R_m)$ and $T,n,m$: (a)generate independent random variables $U_1,U_2,\cdots ,U_m$ from the uniform distribution $U(0,1)$. (b)Let $V_i=U_i^{\frac{1}{i+{\sum }_{j=m-i+1}^m{R}_i}}$, $i=1,2,\cdots ,m$. (c)Let $W_i=1-V_m{V}_{m-1}\cdots V_{m-i+1}$, $i=1,2,\cdots ,m$. (d)For certain $\sigma$ and $\lambda$, let $X_i=F^{-1}(W_i)$. Then, $X=(X_1,X_2,\cdots ,X_m)$ is the Type II progressive censored sample from EHL($\lambda ,\sigma$). 2.Confirm the value of J, and abandon the sample $X_{J+2},\cdots ,X_m$. 3.Generate the first $m-J-1$ order statistics from a truncated distribution $\frac{f(x)}{[1-F(x_{J+1})]}$ with sample size $n-({\sum }_{i=1}^J{R}_i+J+1)$ as $X_{J+2},X_{J+3},\cdots ,X_m$.