Statistical inferences for the Weibull distribution under adaptive progressive type-II censoring plan and their application in wind speed data analysis

This paper provides four well-known statistical inferences for the principal parameters regarding two-parameter Weibull distribution including its hazard, quantile, and survival function based on an adaptive progressive type-II censoring plan. The involve likelihood approximate methods, Bayesian approach, bootstrap procedure, a new conditional technique. To construct point estimators credible intervals, Markov chain Monte Carlo, Metropolis-Hastings, Gibbs sampling algorithms were used. are developed under conjugate non-conjugate priors in presence of symmetric asymmetric loss functions. In addition, estimation technique with interesting distributional characteristics has been introduced. aforementioned methods compared extensively through series simulations. results comparative study showed superiority approach over other ones. Finally, applied to analyze wind speed data.