A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Table 1

Numerical analysis for moments, variance, skewness, and kurtosis.

Parameters
= 2	= 1.5	= 1.9	1.3586	2.0621	3.3315	5.5933	0.3245	0.0011	0.0340
		= 0.9	1.0044	1.3503	2.0370	3.2723	0.6662	0.0001	0.2197
		= 0.1	0.3096	0.4915	1.0025	2.2783	0.4591	6.0526	7.7215
		= 0.2	0.5586	0.9290	1.9286	4.4235	0.8209	2.4066	3.4680
		= 0.3	0.7638	1.3215	2.7872	6.4478	1.1123	1.2730	2.0790
	= 0.3	= 0.5	0.6226	1.0334	2.1415	4.9061	0.8990	1.9872	2.9723
= 3		= 0.1	0.5687	0.9272	1.9070	4.3511	0.8164	2.3676	3.4399
	= 0.3	= 1.1	0.7064	1.2029	2.5196	5.8065	1.0265	1.5233	2.3952
	= 0.09	= 1.1	0.2282	0.3561	0.7221	1.6358	0.3387	9.0647	11.1686
	= 0.08	= 0.01	0.1667	0.2553	0.5141	1.1608	0.2460	13.3676	16.0774