Best Linear Unbiased Estimator of the Parameter of the Rayleigh Distribution - Part II: Optimum Theory for Selected Order Statistics

Inference for the Rayleigh Distribution Based on Progressive Type-II Fuzzy Censored Data

“…Inferences for the Rayleigh distribution have been discussed by several authors. Dyer and Whisenand (1973) demonstrated the importance of this distribution in communication engineering. Bhattacharya and Tyagi (1990) mentioned that in some clinical studies dealing with cancer patients, the survival pattern follows the Rayleigh distribution.…”

Estimation of the Scale Parameter From the Rayleigh Distribution From Type Ii Singly and Doubly Censored Data

“…Adatia (1995) has obtained the coefficients and relative s-efficiency of the best linear unbiased estimate (BLUE) of the scale parameter of the Rayleigh distribution for type II censored samples of size N = 20 (5) 40 for r = 0 (1) 4 number of observations censored from the left and s = 0 (1) 4 (number of observations censored from the right). Dyer and Whisenand (1973) obtained the BLUE of the scale parameter based on type II censored samples for small n = 2 (1) 15.…”

Assessing the lifetime performance index of Rayleigh products based on the Bayesian estimation under progressive type II right censored samples

“…Therefore, the lifetime model of many products generally may possess a non-normal distribution including exponential, Rayleigh or the other distributions and so forth. Since the Rayleigh distribution is also a special case of the Weibull distribution and has wide applications, such as, in the field of acoustics (see [5,6]), in communication engineering (see [7,8]), in life testing of electrovacuum devices (see [9]), so in this paper we consider the lifetime of the product with Rayleigh distribution. In life testing experiments, the experimenter may not always be in a position to observe the life times of all the products (or items) put on test.…”