The Beta Generalized Half-Normal Distribution: New Properties

Table 1

Moments of the BGHN order statistics for 𝜃=8.5, 𝛼=3, 𝑎=2, and 𝑏=3.

Order statistics →	𝑋1∶5	𝑋2∶5	𝑋3∶5	𝑋4∶5	𝑋5∶5
𝑠=1	2.67942	5.81946	4.73975	1.71571	0.23289
𝑠=2	18.10007	39.31172	32.01807	11.59006	1.57328
𝑠=3	127.8683	277.7184	226.1923	81.87821	11.11451
𝑠=4	938.314	2037.933	1659.828	600.8327	81.55966
Variance	10.92078	5.44561	9.55281	8.64636	1.51904
Skewness	0.57767	−1.13596	−0.54601	1.27135	5.36291
Kurtosis	1.61751	4.06406	1.89737	2.91095	31.07642