arXiv subjects

Thomas Xavier

Publications and source records attributed to Thomas Xavier.

2 recordsLinked to original sources

arXiv2023

Stress-strength reliability estimation for type-1 pathway generated exponential distribution with applications to AIDS incubation time

The Type-1 Pathway Generated Exponential distribution (PGE-1) is introduced. We have considered the estimate of the stress-strength parameter when the stress and strength components are statistically independent and follow PGE-1 distributions with distinct parameters. The point estimate of the stress-strength reliability is obtained using maximum likelihood method. The interval estimates are obtained using asymptotic confidence intervals and the parametric bootstrap method. To verify the performance of the methods developed, an extensive Monte Carlo simulation study has been conducted. The application of the developed results is illustrated on AIDS blood transfusion data.

stat.ME↗

arXiv2022

Goodness of fit tests for Rayleigh distribution

We develop a new goodness fit test for Rayleigh distribution for complete as well as right censored data. We use U-Statistic theory to derive the test statistic. First we develop a test for complete data and then discuss, how right censored observations can be incorporated in the testing procedure. The asymptotic properties of the test statistics in both uncensored and censored cases are studied in detail. Extensive Monte Carlo simulation studies are carried out to validate the performance of the proposed tests. We illustrate the procedures using real data sets. We also provide, a goodness of fit test for standard Rayleigh distribution based on jackknife empirical likelihood.

stat.ME↗