TY - JOUR
AU - Chesneau , Christophe
AU - D'cruz, Veena
AU - Maya, R.
AU - Irshad, M.R.
PY - 2023/09/21
Y2 - 2024/11/08
TI - A Novel Discrete Distribution Based on the Mixture of Poisson and Sum of Two Lindley Random Variables: Accepted - September 2023
JF - REVSTAT-Statistical Journal
JA - REVSTAT
VL -
IS -
SE - Forthcoming Paper
DO -
UR - https://revstat.ine.pt/index.php/REVSTAT/article/view/599
SP -
AB - <p>The distribution of the sum of two independent Lindley random variables having the same parameter defines the 2S-Lindley distribution recently introduced in the statistical literature. In this paper, we use it to create a new one-parameter discrete compound distribution called the Poisson 2S-Lindley distribution. </p><p>The mathematical and statistical properties of the proposed distribution are investigated and analyzed systematically. Subsequently, a statistical standpoint is adopted. Various estimation methods are considered, and an extensive simulation study is conducted to compare them. A count regression model as well as a first-order integer-valued autoregressive process based on the proposed model are constructed. In total, four real data sets in different fields are used to prove the empirical importance of the distribution.</p>
ER -