A research study of environmental factors for the gamma distribution

Abstract Environmental factor estimation for the gamma distribution with two parameters is considered here. In the consideration of the characteristics of the gamma distribution, the definition of environmental factors for the exponential distribution and the convenience of data conversion, the definition of environmental factors for the gamma distribution is proposed. In accordance with this definition, the lower and upper confidence limits of environmental factors are derived by Classical, Bayesian and Fiducial methods. Some approximate confidence limits are also given. A practical example is provided and the results indicate that the definition, the confidence limits and their approximants are suitable.