A new parametric lifetime model with modified chi-square type test for right censored validation, characterizations and different estimation methods

A new three-parameter extension of the generalized Nadarajah-Haghighi model is introduced and studied. Some its statistical properties are derived. Characterization results presented. The failure rate can be "increasing", "decreasing", "bathtub", "upside-down", "upside-down-constant", "increasing-constant" or "constant". Different non-Bayesian estimation methods under uncensored scheme considered. Numerical simulations performed for comparing using different sample sizes. censored Barzilai-Borwein algorithm employed via a simulation study. Using approach Bagdonavicius-Nikulin chi-square goodness-of-fit test validation right data, we propose modified model. Based on maximum likelihood estimators initial recovers loss in information. data applied to four real sets. compared with many other competitive models by means set.