Exact likelihood ratio and Wald tests for the balanced joint progressive censoring scheme

Abstract

Recently, the balanced joint progressive censoring (BJPC) for two samples has been introduced by the authors. This work comprises of developing testing of hypothesis for the BJPC scheme. An exact likelihood ratio test is developed to test the ratio of mean life times of two different products through joint life testing experiment. Along with this development, the Wald test has also been discussed, and an approximate power function has been used for power computation. Along with the study of testing of hypothesis, the optimal censoring scheme based on the power of the proposed tests has been determined. Meta heuristic variable neighborhood algorithm is exploited in this optimization task.

Spillover Effects of Green Finance on Attaining Sustainable Development: Spatial Durbin Model

“…In the subsequent stage, the Wald test and the likelihood ratio (LR) test are employed to determine whether the spatial Durbin model (SDM) can be transformed into either a spatial lag model (SLM) or a spatial error model (SEM). The Wald test evaluates the significance of coefficients within the model and plays a key role in deciding whether particular variables warrant inclusion [70]. Through a comparison of the Wald statistic's magnitude with critical values, a determination can be made regarding the integration of the spatial lag or spatial error term into the model, leading to a potential shift from SDM to either SLM or SEM.…”