Amin Roshani

This work is a continuation of our previous works (Hamedani and Safavimanesh, 2017), (Hamedani 2017), (Hamedani and Maadooliat, 2017), (Hamedani, 2018a, 2018b), (Hamedani, 2019), (Hamedani, 2021) and (Hamedani, 2023) on characterizations of distributions introduced in 2021-2023. The current work, our previous works mentioned above may serve as a source of preventing the reinvention and/or duplication of the existing distributions in future. As we pointed out in our papers and monographs, a good number of proposed distributions have already been introduced in the literature. We believe the authors should do a detailed literature search before devoting considerable time on the already existing distributions.

As we mentioned in our previous works, sometimes in real life cases, it is very difficult to obtain samples from a continuous distribution. The observed values are generally discrete due to the fact that they are not measured in continuum. In some cases, it may be possible to measure the observations via a continuous scale, however, they may be recorded in a manner in which a discrete model seems more suitable. Consequently, the discrete models are appearing quite frequently in applied fields and have attracted the attention of many researchers. Characterizations of distributions are important to many researchers in the applied fields. An investigator will be vitally interested to know if their model fits the requirements of a particular distribution. To this end, one will depend on the characterizations of this distribution which provide conditions under which the underlying distribution is indeed that particular distribution.

As we mentioned in our previous works, sometimes in real life cases, it is very difficult to obtain samples from a continuous distribution. The observed values are generally discrete due to the fact that they are not measured in continuum. In some cases, it may be possible to measure the observations via a continuous scale, however, they may be recorded in a manner in which a discrete model seems more suitable. Consequently, the discrete models are appearing quite frequently in applied fields and have attracted the attention of many researchers. Characterizations of distributions are important to many researchers in the applied fields. An investigator will be vitally interested to know if their model fits the requirements of a particular distribution. To this end, one will depend on the characterizations of this distribution which provide conditions under which the underlying distribution is indeed that particular distribution.