Research Article

Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions

Table 3

Estimated future observation for the data set under three different loss functions.

𝑐 1 𝑦 1 𝑦 2 𝑦 3
𝛾 = 0 . 5 𝛾 = 1 . 0 𝛾 = 1 . 5

0.533.35962.78857.97753.09848.026
1.030.57261.33856.43251.43146.169
1.526.72659.82254.81249.67344.173
2.024.75558.23353.11147.81342.017
5.018.28546.70140.50433.42127.315
Conjugate prior55.32913.047320.483315.724190.144