Statistical Analysis of Type-II Generalized Progressively Hybrid Alpha-PIE Censored Data and Applications in Electronic Tubes and Vinyl Chloride

A new Type-II generalized progressively hybrid censoring strategy, in which the experiment is ensured to stop at a specified time, explored when lifetime model of test subjects follows two-parameter alpha-power inverted exponential (Alpha-PIE) distribution. Alpha-PIE’s parameters and reliability indices, such as hazard rate functions, are estimated via maximum likelihood Bayes estimation methodologies presence proposed censored data. The confidence intervals unknown quantities created using normal approximation acquired classical estimators. Bayesian estimators also produced independent gamma density priors under symmetrical (squared-error) loss. Bayes’ their associated highest posterior cannot be calculated theoretically since joint function derived complicated form, but they can potentially assessed Monte Carlo Markov-chain algorithms. We next go through four optimality criteria for identifying best progressive design. effectiveness suggested procedures comparisons, certain recommendations offered. Ultimately, two different applications, one focused on failure times electronic tubes other vinyl chloride, analyzed illustrate techniques that may employed real-world scenarios.