Statistical Inference for the Transformed Rayleigh Lomax Distribution with Progressive Type-II Right Censorship


In this paper, we study the transformed Rayleigh Lomax (Trans-RL) distribution which belongs to a certain family of two parameters lifetime distributions given by Wang et al (2010). Confidence intervals and inverse estimators of the Trans-RL parameters are derived in terms of order statistics. A simulation study is conducted to report the coverage probabilities, the average biases and the average relative mean square errors for the maximum likelihood, L-moments and inverse estimators. We compare the performance of these methods under different schemes of progressively Type-II right censoring. Finally, an illustrative example is provided to demonstrate the proposed methods.

DOI Code: 10.1285/i20705948v12n1p209

Keywords: Rayleigh Lomax distribution; Confidence intervals; Inverse estimators; Order Statistics, Right censorship.

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