Inference for Weibull generalized exponential distribution based on generalized order statistics

The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data

“…Almetwally et al [6] discussed the estimation of the WGED parameters with progressive Type-II censoring (PTIIC) schemes by using the maximum likelihood and Bayesian estimation methods. e authors in [7] addressed the estimation of WGED parameters based on generalized order statistics, and they derived the submodels of generalized order statistics such as order statistics and record values. e authors in [8] introduced a heavy tailed exponential distribution by using the alpha power method for generalized continuous distribution.…”

Generalized variational principles of the Benney-Lin equation arising in fluid dynamics

“…( 1) reduces to the generalized Kuramoto-Sivashinsky equation that describes the waves in the vertical and inclined falling film, in liquid films that are subjected to interfacial stress from adjacent gas flow [15]. First and last, the BLE is an important general equation in the field of fluid dynamics and its solution has always been a research hotspot, many different effective method have been obtained such as variational iteration method [15], homotopy perturbation method [16], residual power series method [17], Lie symmetry analysis [18], Adomian decomposition method [19] and so on [20,21]. However its variational principle has not been studied and reported yet.…”