Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data

Abstract

. Introduction In this research life time distribution known as exponentiated inverse Rayleigh distribution (EIRD) was developed and it can be used in reliability estimation and statistical quality control techniques. Te Rayleigh distribution is originated from two parameter Weibull distribution and it is appropriate model for life-testing studies. It can be shown by transformation of random variable that if the random variable (r. v) T has Rayleigh distribution, then the r. v. � = (1/�) has an inverse Rayleigh distribution (IRD). Reliability sampling plans of IRD are given in Rosaiah and Kantam [1]. Suppose X is a random variable following inverse Rayleigh distribution with scale parameter �. Ten its pdf, cdf,and reliability function are respectively