Testing Exponentiality against Exponential Better than Equilibrium Life in Convex based on Laplace Transformation

Testing Exponentiality Based on Record Values

We introduce a goodness of fit test for exponentiality based on record values. The critical points and powers for some alternatives are obtained by simulation.

Testing Exponentiality Based on Renyi Entropy of Transformed Data

In this paper, we introduce new tests for exponentiality based on estimators of Renyi entropy of a continuous random variable. We first consider two transformations of the observations which turn the test of exponentiality into one of uniformity and use a corresponding test based on Renyi entropy. Critical values of the test statistics are computed by Monte Carlo simulations. Then, we compare p...

Use of mean residual life in testing departures from exponentiality

We utilize the important characterization that E(X − t |X > t) is a constant for t ∈ [0,∞) if and only if X is distributed as an exponential random variable, in order to construct a new test procedure for exponentiality. We discuss asymptotic distribution theory and other properties of the proposed procedure. Simulation studies indicate that the proposed statistic has very good power in a large...

Testing Normality Against The Laplace Distribution

On Testing Statistics of Harmonic New Better Than Renewal Used in Expectation Class of Life Distributions

The harmonic new better or worse than renewal used in expectation classes of life distributions are considered in this paper. Relations of these classes with other existing classes of life distributions are explored and their closure properties under some reliability operations are studied. Test statistics of exponentiality for these classes are established under random censoring. Percentiles a...