Table 1
Estimates of the means and standard deviations of MLE’s and coverage probabilities with a nominal 95% confidence level obtained from 50, 000 samples using Method 1 for different values of θ and n, using complete observations as well as censored observations (20% censoring).
Table 2
Estimates of the means and standard deviations of MLE’s and coverage probabilities obtained from 50, 000 samples using Method 2 for different values of θ and n, using complete observations as well as censored observations (20% censoring).
Table 3
95% confidence level obtained from 50, 000 samples using Method 2 for different values of θ and n, using complete observations as well as censored observations (20% censoring).
Table 4
Means and standard deviations from initial values and posterior means subsequently obtained from 1000 simulated samples with different values of θ and n, using the gamma prior distribution with θi ∼ Uniform (0, 40) and θi ∼ Gamma (0.01, 0.01).
Table 5
Coverage probabilities with a confidence level of 95% of the estimates of posterior means obtained from 1000 simulated samples of size n = (50, 100, 200), with different values of θ , using the gamma prior distribution with and = (10, 10, 10) and complete observations.
Table 6
Means and standard deviations from initial values and posterior means subsequently obtained from 1000 simulated samples with different values of θ and n, using the gamma prior distribution with and = (10, 10, 10) assuming complete observations.
Table 7
Coverage probabilities with a confidence level of 95% of the estimates of posterior means obtained from 1000 simulated samples of size n = (50, 100, 200), with different values of θ , using the gamma prior distribution with and = (10, 10, 10)and censored observations (20% of censoring).
Table 8
Means and standard deviations from initial values and posterior means subsequently obtained from 1000 simulated samples with different values of θ and n, using the gamma prior distribution with and = (10, 10, 10) assuming censored data (20% censoring).
Table 9
Remission times (in months) of a random sample of 128 bladder cancer patients.
Table 10
Posterior medians, standard deviations and 95% credibility intervals for ϕ, μ and α.
Table 11
Results of AIC, AICc and BIC criteria for different probability distributions considering the bladder cancer data set introduced in
Table 8.
Table 12
Data set of cycles to failure for a group of 60 electrical appliances in a life test (+ indicates the presence of censorship).
Table 13
Posterior medians, standard deviations and 95% credibility intervals for ϕ, μ and α.
Table 14
Results of DIC criteria, AIC and BIC for different probability distributions considering the data of cycles to failure introduced in
Table 11.