The occurrence of instantaneous or early failures is a common phenomenon observed in life testing experiments. Such failures are called inliers. In this article, an attempt has been made to model inliers using Rayleigh distribution. We propose the estimation procedures and tests of hypothesis of...

This paper establishes monotonicity of the chi-square test statistic. As the more efficient parameter estimator is plugged into the test statistic, the degrees of freedom of the resulting chi-square test statistic monotonically increase.

Social and computer networks permeate our lives. Large networks, such as the Internet, the World Wide Web (WWW), AND wireless smartphones, have indisputable economic and social importance. These networks have non-trivial topological features, i.e., features that do not occur in simple networks...