Powered Inverse Rayleigh Distribution Using DUS Transformation

Modified Inverse Rayleigh Distribution

A two parameter generalization of the Inverse Rayleigh distribution capable of modeling bathtub hazard rate function is defined and studied with application to reliability data. A comprehensive account of the mathematical properties of the modified Inverse Rayleigh distribution including estimation and simulation with its reliability behavior are discussed. An application is presented to illust...

Discrete Inverse Rayleigh Distribution

Rayleigh distribution is one of the well-known continuous distribution developed by Lord Rayleigh and J.W. Strutt (1880, 1919) used in modeling lifetime data. A reciprocal transformation of Rayleigh variable generates inverse Rayleigh distribution derived by Voda (1972) which is also being used in lifetime experiments. While keeping in mind the famous of Rayleigh and inverse Rayleigh distributi...

Shrinkage Estimation in the Inverse Rayleigh Distribution

Extreme Value Charts and Anom Based on Inverse Rayleigh Distribution

A measurable quality characteristic is assumed to follow Inverse Rayleigh distribution. Variable control charts based on the extreme values of each subgroup are constructed. The technique of analysis of means (ANOM) is adopted to work out the decision lines of Inverse Rayleigh distribution. The preferability of the proposed ANOM decision lines over that of Ott (1967) [11] is illustrated by some...

E-Bayesian Approach in A Shrinkage Estimation of Parameter of Inverse Rayleigh Distribution under General Entropy Loss Function

‎Whenever approximate and initial information about the unknown parameter of a distribution is available, the shrinkage estimation method can be used to estimate it. In this paper, first the $ E $-Bayesian estimation of the parameter of inverse Rayleigh distribution under the general entropy loss function is obtained. Then, the shrinkage estimate of the inverse Rayleigh distribution parameter i...