We study a multivariate ultrastructural measurement error (MUME) model with more than one response variable. This model is a synthesis of multivariate functional and structural models. Three consistent estimators of regression coefficients, satisfying the exact linear restrictions have been...

Tests based on two estimators of the quantile function are proposed for successive comparison between ordered quantiles. Limiting distribution of the test statistics under null hypothesis is studied. Simulations are carried out to find power of the tests.

Two measures of inequality, viz. the Bonferroni Curve and the Bonferroni index are studied. It is shown that these have some relationship with Lorenz Curve, Gini ratio and certain concepts used in reliability, life testing and renewal theory. The problem of testing of Bonferroni Curve and its...

The reversed (backward) hazard rate ordering is an ordering for random variables which compares lifetimes with respect to their reversed hazard rate functions. In this paper, we have given some sufficient conditions under which the ordering between the components with respect to the reversed...

Purpose – Joint reliability importance (JRI) of components is the effect of a change of their reliability on the system reliability. The authors consider two coherent multi-component systems – a series-in-parallel (series subsystems arranged in parallel) and a parallel-in-series (parallel...