Comparison Some Methods To Estimate Reliability Function of Transmuted Inverted Topp-Leone distribution

Abstract

It is clear that studying lifetime distributions which are related to the survival function or reliability data, is an important matter in our lives, because these distributions are important in many areas in real life, for example, survival data analysis. Since this data is often complex, therefore, representing it through single distributions is less efficient than compound, mixed, or transformed distributions, which are more suitable for such data. Therefore, researchers are trying to find new distributions through transformation or composition, so that they contain more parameters so that they absorb this complexity in the data. Therefore, the researcher found a new distribution, which is the transformed inverse Top Lyon distribution. The properties of this distribution were found, as well as its parameters were estimated, and the reliability function was found using the least squares, maximum likelihood, and weighted least squares methods, and comparing them to find the best method for estimation.