Estimation for the Rayleigh Distribution Based on Multiply Type I Hybrid Censored Samples

In this paper, we derive statistical inference on the scale parameter and entropy function for the Rayleigh distribution when we use the multiply type I hybrid censoring scheme. The scale parameter and entropy function are estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types. We also obtain the maximum likelihood estimator (MLE) of the scale parameter and entropy function under the multiply type I hybrid censored samples. We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n = 20, 40 and various multiply type I hybrid censored samples. Further an illustrative example with the real data is presented.