Validation of Xgamma Exponential Model via Nikulin-Rao-Robson Goodness-of- Fit-Test under Complete and Censored Sample with Different Methods of Estimation
نویسندگان
چکیده
In this article, a new extension of the one parameter Xgamma distribution has been proposed. Also associated different statistical properties are derived. The unknown proposed is estimated by using classical estimation methods and Bayesian method. Under estimation, we brieflfly describe method moment estimators, maximum likelihood product spacing least squares weighted estimators Cramer-von-Mises estimators. gamma prior under squared error loss function discussed computed via Lindley’s approximation Markov Chain Monte Carlo techniques. Furthermore, 100(1 ? ?)% asymptotic confifidence interval credible along with coverage probability also discussed. obtained compared through simulations. Next, construct modifified Chi-squared goodness fifit test based on Nikulin-Rao-Robson (NRR) statistic in presence censored complete data. applicability our model illustrated for both data right two real sets each.
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ژورنال
عنوان ژورنال: Statistics, Optimization and Information Computing
سال: 2022
ISSN: ['2310-5070', '2311-004X']
DOI: https://doi.org/10.19139/soic-2310-5070-1107