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Table 2 Frequentist coverage probabilities for \({\alpha }=0.95,0.05\) with true parameters \({\theta }=1,{\beta }=1\) and different hybrid censoring time

From: Permissible noninformative priors for the accelerated life test model with censored data

Censoring scheme

 

\(Q_{\pi _{2}}({\theta })\)

\(Q_{\pi _{2}}({\beta })\)

n

m

\(\left( \begin{array}{cccc} R_{1}&{} R_{2} &{}\cdots \,R_{j-1}\\ R_{j} &{}0 \cdots 0 &{}R_{m} \\ \end{array} \right)\)

 

\({\alpha }=0.95\)

\({\alpha }=0.05\)

\({\alpha }=0.95\)

\({\alpha }=0.05\)

30

12

\(\left( \begin{array}{cccccc} 2&{} 1 &{} 1&{} 2 &{}1&{}1 \\ 2 &{} 3 &{} 1 &{}0 &{}0&{}4 \\ \end{array} \right)\)

\(\eta\) = 10

0.9412

0.0587

0.9583

0.0579

  

\(\left( \begin{array}{cccccc} 2&{} 1 &{} 1&{} 2 &{}1&{}1 \\ 2 &{} 0 &{} 0 &{}0 &{}0&{}6 \\ \end{array} \right)\)

\(\eta\) = 8

0.9625

0.0373

0.9627

0.0372

  

\(\left( \begin{array}{cccccc} 2&{} 1 &{} 1&{} 2 &{}1&{}0 \\ 0 &{} 0 &{} 0 &{}0 &{}0&{}9 \\ \end{array} \right)\)

\(\eta\) = 6

0.9700

0.0297

0.9704

0.0708