Abstract Recently, Sati and Gupta (2015) have introduced a generalized cumulative residual
entropy based on the non-additive Tsallis entropy. The cumulative residual entropy …

In this paper, we develop some goodness of fit tests for Rayleigh distribution based on Phi-
divergence. Using Monte Carlo simulation, we compare the power of the proposed tests with …

Estimation of unknown parameters using different loss functions encompasses a major area
in the decision theory. Specifically, distance loss functions are preferable as it measures the …

In the recent studies, much attention has been paid to the usefulness and importance of
quantile functions as an alternative approach in statistical modeling, analysis of data and …

Pareto distributions are widely used models in economics, finance and actuarial sciences.
As a result, a number of goodness-of-fit tests have been proposed for these distributions in …

We develop new goodness of fit tests for Rayleigh distribution based on fixed point
characterization. We use U-Statistic theory to derive the test statistics. First we develop a test …

Abstract The Inverse Rayleigh distribution has many applications in the area of reliability
studies. It is regarded as a model for a lifetime random variable. It is essential to develop an …

The study on the generating function approach to entropy become popular as it generates
several well-known entropy measures discussed in the literature. In this work, we define the …

The Lindley distribution may serve as a useful reliability model. Applications of this
distribution are presented in statistical literature. In this article, goodness of fit tests for the …

In this paper, the problem of goodness of fit test for the inverse Rayleigh distribution based
on progressively Type-II censored samples is studied. We develop two test statistics via …