A New Generalized Lomax Model: Statistical Properties And Applications

[摘要] In this paper, a new version of the Poisson Lomax distributions is proposed and studied. The new density is expressed as a linear mixture of the Lomax densities. The failure rate function of the new model can be increasing-constant, increasing, U shape, decreasing and upside down-increasing. The statistical properties are derived and four applications are provided to illustrate the importance of the new density. The method of maximum likelihood is used to estimate the unknown parameters of the new density. Adequate fitting is provided by the new model.

[学科分类] 土木及结构工程学

[关键词] Truncated Poisson Distribution;Lomax Distribution;Moments;Moment Generating Function