Statistical Inference for the Parameter of Rayleigh Distribution Through Fuzzy Membership Function

There are number of inference techniques that can be used for the estimation of the unknown parameters which are based on precise crisp data, but there are many situations where we deal with imprecise and vague data. In this situation the classical mathematical tools cannot help us to estimate the parameters. This impreciseness can be covered by introducing fuzzy concepts. This study deals with the maximum likelihood estimation for the parameters of Rayleigh distribution using Newton Raphson algorithm. A real-life data set analysis is presented by considering set of luminous intensity of light emitting diodes and finding of this study illustrates that proposed inferential technique is useful to deal with fuzziness of data when statistical inference of Rayleigh distribution is carried out for imprecise or fuzzy data.