On Statistical Properties of a New Bivariate Modified Lindley Distribution with an Application to Financial Data

Table 1

The average estimates for the parameter , for sets of data I, II, and III, with bias and standard error.

Set of data	Sample size	Average estimate	Bias	SE
I	n = 20	0.8461	−0.0539	0.0348
	n = 50	0.8626	−0.3074	0.0219
	n = 100	0.8200	−0.0800	0.0180
II	n = 20	0.3810	−0.0190	0.0149
	n = 50	0.3836	−0.0164	0.0110
	n = 100	0.3885	−0.0115	0.00740
III	n = 20	1.9182	−0.0818	0.0529
	n = 50	1.9746	−0.0254	0.0524
	n = 100	1.9912	−0.0088	0.0378
IV	n = 20	0.47298	−0.02702	0.0290
	n = 50	0.46070	−0.0393	0.00620
	n = 100	0.4786	−0.0214	0.00809
V	n = 20	1.3483	−0.1517	0.0250
	n = 50	1.3536	−0.1464	0.0318
	n = 100	1.4036	−0.0964	0.0252