Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples

Table 9

The sf and hrf estimates at t₀{3, 5, 10} of the HLXG distribution under complete and TIC.

Parameters			T	Exact values
0.5	0.5										30	2.5	= 0.233346	0.216432	0.107133	0.016198	0.346273	0.358332	0.397679
		4	= 0.122910	0.217353	0.107951	0.016484	0.344680	0.356563	0.395511
		50	2.5	= 0.022299	0.227453	0.117434	0.020097	0.326357	0.336167	0.370517
			4	= 0.316873	0.224381	0.114758	0.019105	0.330856	0.341117	0.376559
		100	2.5	= 0.325682	0.229037	0.119549	0.021132	0.321265	0.330391	0.363401
			4	= 0.357710	0.229797	0.120191	0.021372	0.320289	0.329326	0.362107
0.5	1.2	30	2.5	= 0.0413473	0.031630	0.004572	0.000020	0.919579	1.012360	1.148190
			4	= 0.0074909	0.030409	0.004257	0.000017	0.934418	1.029280	1.166240
		50	2.5	= 0.0000601	0.038328	0.006391	0.000041	0.853517	0.936765	1.067000
			4	= 0.8152270	0.038497	0.006439	0.000041	0.852064	0.935098	1.065200
		100	2.5	= 0.8926640	0.037983	0.006485	0.000044	0.842627	0.924181	1.053380
			4	= 1.0191500	0.038291	0.006580	0.000046	0.839676	0.920789	1.049710
1.7	0.9	30	2.5	= 0.2849660	0.265858	0.068976	0.001462	0.629726	0.710327	0.818858
			4	= 0.0861552	0.274869	0.075262	0.001860	0.604664	0.681868	0.786724
		50	2.5	= 0.0028425	0.310250	0.098725	0.003743	0.533615	0.603083	0.696883
			4	= 0.5597790	0.290238	0.088247	0.002953	0.556504	0.626226	0.723173
		100	2.5	= 0.6288880	0.293989	0.090596	0.003149	0.550078	0.619223	0.715160
			4	= 0.7261120	0.284586	0.085431	0.002760	0.562942	0.632723	0.730538