Transmuted Sujatha Distribution with Properties and Applications in Engineering

This paper presents a two-parameter transmuted Sujatha distribution using the quadratic rank transformation map. Its various statistical properties, such as survival function, hazard function, reversed hazard function, mean residual life function and stress-strength reliability are discussed, along with the moments-based measures like coefficient of variation, coefficient of skewness, coefficient of kurtosis, and index of dispersion, as well as the moment generating function, characteristic function, conditional mean and conditional variance, and Renyi entropy. The parameters of the proposed distribution are estimated using the methods of maximum likelihood estimation, maximum product spacing estimation, least squares estimation, weighted least squares estimation and Crammer–Von Mises estimation. A simulation study has been carried out to know the consistency of the estimated values of parameters. A goodness of fit measure has been demonstrated on two real lifetime datasets from the engineering field and shown that the proposed distribution provides the satisfactory fit over the transmuted exponential distribution, transmuted Lindley distribution, transmuted Ishita distribution and Sujatha distribution.