Poisson–logarithmic half‑logistic distribution with inference under a progressive‑stress model based on adaptive type‑II progressive hybrid censoring

Document Type : Original Article

Abstract

Keywords

• The researchers
• engineers
• and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So
• in this paper
• a new distribution is introduced
• named Poisson–logarithmic half-logistic distribution
• based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also
• two real data sets are considered to compare the introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to
• such as maximum likelihood
• percentile
• least squares
• and weighted least square methods
• are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods
• a simulation study is conducted
• as well as numerical calculations