Parameter Inducing in Some Statistical Distribu-tions

Abstract

In many applied sciences such as medicine, engineering and finance, amongst others, modeling and analyzing lifetime data is crucial. Several lifetime distributions have been used to model such kind of data. The quality of the procedures used in a statistical analysis depends heavily on the assumed probability model or distribution. Because of this, considera-ble effort has been expended in the development of large classes of stand-ard probability distributions along with relevant statistical methodologies. However, there exist times when the real data do not follow any of the classical or standard probability models. So we present different types of generalized distributions and hope that the proposed models can be used effectively as competitive models to fit real data. The simplicity of the logistic distribution and its importance as a growth curve has made it one of the many important statistical distributions. The logistic distribution is often used "as an approximation to other symmet-rical distributions due to the mathematical tractability of its cumulative distribution function"