Journal of Mathematics

Research Article

Statistical Analysis Based on Progressive Type-I Censored Scheme from Alpha Power Exponential Distribution with Engineering and Medical Applications

Table 10

The classical and Bayes estimates (with their SEs) of , , , and under head-neck cancer dataset.
Scheme ParameterMLEMCMC
SELINEX
āˆ’3āˆ’0.03+3
I2.7953 (3.8358)1.8958 (0.0057)2.5773 (0.0014)1.9079 (0.0056)1.0567 (0.0110)
0.0381 (0.0188)0.0314 (0.0001)0.0315 (0.0001)0.0314 (0.0001)0.0312 (0.0001)
0.9782 (0.0087)0.9766 (0.0001)0.9767 (0.0001)0.9766 (0.0001)0.9765 (0.0001)
0.0223 (0.0086)0.0238 (0.0001)0.0239 (0.0001)0.0238 (0.0001)0.0237 (0.0001)
II2.9846 (3.5777)2.0714 (0.0026)2.2415 (0.0047)2.0739 (0.0058)1.7773 (0.0076)
0.0367 (0.0164)0.0321 (0.0001)0.0322 (0.0001)0.0321 (0.0001)0.0320 (0.0001)
0.9798 (0.0074)0.9781 (0.0001)0.9781 (0.0001)0.9781 (0.0001)0.9781 (0.0001)
0.0207 (0.0074)0.0223 (0.0001)0.0223 (0.0001)0.0223 (0.0001)0.0222 (0.0001)
III0.8690 (2.7042)0.5924 (0.0014)0.6626 (0.0013)0.5931 (0.0017)0.5214 (0.0013)
0.0253 (0.0311)0.0213 (0.0001)0.0213 (0.0001)0.0213 (0.0001)0.0212 (0.0001)
0.9732 (0.0102)0.9726 (0.0001)0.9727 (0.0001)0.9726 (0.0001)0.9725 (0.0001)
0.0271 (0.0101)0.0277 (0.0001)0.0278 (0.0001)0.0277 (0.0001)0.0276 (0.0001)
IV1.6852 (2.1033)1.6498 (0.0022)1.8140 (0.0008)1.6516 (0.0002)1.4902 (0.0012)
0.0626 (0.0239)0.0622 (0.0001)0.0624 (0.0001)0.0622 (0.0001)0.0620 (0.0001)
0.9531 (0.0157)0.9524 (0.0001)0.9525 (0.0001)0.9524 (0.0001)0.9524 (0.0001)
0.0485 (0.0156)0.0491 (0.0001)0.0493 (0.0001)0.0491 (0.0001)0.0490 (0.0001)
V0.0098 (0.0430)0.0088 (0.0001)0.0087 (0.0001)0.0087 (0.0001)0.0087 (0.0001)
0.0129 (0.0131)0.0124 (0.0001)0.0124 (0.0001)0.0124 (0.0001)0.0123 (0.0001)
0.9420 (0.0115)0.9428 (0.0001)0.9427 (0.0001)0.9427 (0.0001)0.9427 (0.0001)
0.0594 (0.0119)0.0586 (0.0001)0.0586 (0.0001)0.0586 (0.0001)0.0585 (0.0001)