Present study is proposed some Bayes estimators for unknown scale parameter of Rayleigh distribution based on two different loss functions. Both the Progressively Type-II and conventional Type-II censored data has been used for estimation under the Jeffrey's extension prior. The One-Sided Bayes prediction bound lengths are also determine. A numerical study carried out for the analysis of proposed Bayes estimators in terms of their risk ratios under a real data set and under a simulation study.