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Quantile based tests for exponentiality against DMRQ and NBUE alternatives
Sreelakshmi N.,Sudheesh K. Kattumannil,Asha G. 한국통계학회 2018 Journal of the Korean Statistical Society Vol.47 No.2
Quantile-based reliability analysis has received much attention recently. We propose new quantile-based tests for exponentiality against decreasing mean residual quantile function (DMRQ) and new better than used in expectation (NBUE) classes of alternatives. The exact null distribution of the test statistic is derived when the alternative class is DMRQ. The asymptotic properties of both the test statistics are studied. The performance of the proposed tests with other existing tests in the literature is evaluated through simulation study. Finally, we illustrate our test procedure using real data sets.
Jackknife empirical likelihood based inference for probability weighted moments
Bhati Deepesh,Kattumannil Sudheesh K.,Sreelakshmi N. 한국통계학회 2021 Journal of the Korean Statistical Society Vol.50 No.1
We discuss jackknife empirical likelihood (JEL) and adjusted jackknife empirical likelihood (AJEL) based inference for fnding confdence intervals for probability weighted moment (PWM). We obtain the asymptotic distribution of the JEL ratio and AJEL ratio statistics. We compare the performance of the proposed confdence intervals with recently developed methods in terms of coverage probability and average width. We also develop JEL and AJEL based tests for PWM and study its properties. Finally we illustrate our method using rainfall data of Indian states.