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...

In this paper, three different types of data sets, namely, the sequence of top k scores vectors, just one top k scores vector and the sequence of upper k-record values are considered. Frequentist estimation based on three mentioned data sets and also the amount of Fisher information (FI) in them...

The Weibull distribution, an extreme value distribution, is frequently used to model survival, reliability, wind speed, and other data. One reason for this is its flexibility; it can mimic various distributions like the exponential or normal. The two-parameter Weibull has a shape (gamma) and...