id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6653	Khan, M. I. ; Ruidas, Molay Kumar	The Mgamma Distribution: Statistical Properties and Application to Real-life Data	2025	22	.pdf	application/pdf	5767	351	71	= θ3x ( 1 + x 2 ) e−θx 1 + θ ; x > 0, θ > 0 (1) 0 2 4 6 8 10 0.0 0.2 0.4 0.6 0.8 1.0 Plot of pdf of Mgamma distribution x f(x) θ = 0.5 θ = 0.8 θ = 1 θ = 3 θ = 5 Figure 1: p.d.f. plot of Mgamma distribution for different θ denoted by x ∼ M(θ) Math, 18 (4) (2025), 6653 4 of 22 0 2 4 6 8 10 0.0 0.2 0.4 0.6 0.8 1.0 Plot of cdf of Mgamma distribution x F(x ) θ = 0.5 θ = 0.8 θ = 1 θ = 3 θ = 5 Figure 2: c.d.f. plot of Mgamma distribution for different θ So, the mode(x) of the new distribution is given by mode(x)	cache/ejpam-6653.pdf	txt/ejpam-6653.txt