Maximum Likelihood and Bayes Estimation in Randomly Censored Geometric Distribution

Table 2

Expected time on test (ETT) and its estimation.

SN		θ	⁢λ
			⁢0.2		⁢0.5		⁢0.8
			ETT	AVOBTT	ETT	AVOBTT	ETT	AVOBTT
1	10	0.2	0.3517; (1.3248)	0.37; 0.0014	0.75800; (1.3248)	0.752; 0.0003	1.1015; (1.3248)	1.1; 0.0005
2		0.5	0.75800; (3.7255)	0.763; 0.0004	1.6162; (3.7255)	1.612; 0.0001	2.6965; (3.7255)	2.722; 0.017
3		0.8	1.1015; (12.6259)	1.082; 0.0006	2.6965; (12.6259)	2.709; 0.0032	6.0629; (12.6259)	6.082; 0.0002
4	20	0.2	0.5908; (1.7343)	0.612; 0.0004	1.0825; (1.7343)	1.053; 0.0013	1.4684; (1.7343)	1.487; 0.0009
5		0.5	1.0825; (4.6904)	1.079; 0.0003	2.0930; (4.6904)	2.099; 0.0126	3.4265; (4.6904)	3.405; 0.002
6		0.8	1.4684; (15.6229)	1.508; 0.0005	3.4265; (15.6229)	3.44; 0.0016	7.5614; (15.6229)	7.519; 0.0002
7	30	0.2	0.7550; (1.9778)	0.741; 0.0018	1.2508; (1.9778)	1.25; 0.0002	1.6743; (1.9778)	1.672; 0.0004
8		0.5	1.2508; (5.2635)	1.267; 0.0004	2.3815; (5.2635)	2.399; 0.0003	3.8598; (5.2635)	3.862; 0.0003
9		0.8	1.6743; (17.4032)	1.674; 0.0026	3.8598; (17.4032)	3.891; 0.0006	8.4516; (17.4032)	8.46; 0.001
10	50	0.2	0.9503; (2.2976)	0.95; 0.0001	1.4441; (2.2976)	1.471; 0.0002	1.9504; (2.2976)	1.951; 0.0007
11		0.5	1.4441; (5.9909)	1.434; 0.0001	2.7469; (5.9909)	2.75; 0.0001	4.4102; (5.9909)	4.383; 0.0031
12		0.8	1.9504; (19.6628)	1.933; 0.0007	4.4102; (19.6628)	4.4; 0.0003	9.5814; (19.6628)	9.51; 0.0001

This table shows the values of ETT for randomly censored sample and ( ) contains the ETT values of complete experiment. In the next column   and   show the average values & MSEs of OBTT in randomly censored sample.