Affiliation:
1. Department of Mathematics, Faculty of Science, Cairo University, Egypt
2. Department of Statistics, Faculty of Science, University of Tabuk, KSA
Abstract
<abstract><p>Via the survival discretization method, this research revealed a novel discrete one-parameter distribution known as the discrete Erlang-2 distribution (DE2). The new distribution has numerous surprising improvements over many conventional discrete distributions, particularly when analyzing excessively dispersed count data. Moments and moments-generating functions, a few descriptive measures (central tendency and dispersion), monotonicity of the probability mass function, and the hazard rate function are just a few of the statistical aspects of the postulated distribution that have been developed. The single parameter of the DE2 distribution was estimated via the maximum likelihood technique. Real-world datasets, leukemia and COVID-19, were applied to analyze the effectiveness of the recommended distribution.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)