Authored by Clement Boateng Ampadu*
Abstract
Inspired by [1] and [2] we introduce a new Chen type generated family of distributions and show a sub-model of this broad class of statistical distributions is a good fit to real-life data. Our hope is that readers will consider investigating some properties and applications of this new class of distributions.
Contents
The New Family Illustrated
We begin with the following
Definition 2.1.1: Let T be a random variable with PDF g (t ) and CDF G(t ), and let X be a random variable with CDF F (x) ,the new Chen generated family of distributions (“ CT − X ” for short) is defined by the following integral for its CDF
the Proposition immediately above we have the following Theorem 2.1.3: The CDF of Chen Exponential-Normal is given by
Obviously, the PDF can be obtained upon differentiating the CDF above. We write W ∼ CEN(λ,β ,c, d, f ) , if W is a Chen Exponential-Normal random variable. The Chen Exponential Normal distribution is a good fit to real life data as shown below [Figure 1].
To read more about this article...Open access Journal of Annals of Biostatistics & Biometric Applications
Please follow the URL to access more information about this article
https://irispublishers.com/abba/fulltext/a-chen-type-generated-family-of-distributions.ID.000577.php
To know more about our Journals....Iris Publishers
No comments:
Post a Comment