Research Article

Efficient Estimation of the Generalized Quasi-Lindley Distribution Parameters under Ranked Set Sampling and Applications

Table 2

Es, MSE, and Eff values using the WLS, CV, and AD methods for the GQLD model parameters with , under SRS and RSS.

 MethodWLSCVAD
EsMSEEffEsMSEEffEsMSEEff

35SRS1.5642.9452.6941.5562.9822.6961.5552.8632.706
RSS1.2741.0931.2601.1061.2741.058
SRS1.0190.0362.2501.0270.0372.3121.0190.0332.200
RSS1.0030.0161.0120.0161.0050.015
10SRS1.3091.2969.8181.3021.31010.0001.3051.25210.097
RSS1.0680.1321.0580.1311.0630.124
SRS1.0130.0164.0001.0180.0164.0001.0130.0153.750
RSS1.0000.0041.0050.0041.0010.004
15SRS1.1970.63512.7001.1910.63812.7601.1970.63713.271
RSS1.0300.0501.0230.0501.0280.048
SRS1.0100.0115.5001.0130.0115.5001.0090.0115.500
RSS0.9990.0021.0030.0021.0000.002

45SRS1.4312.1632.9351.4252.1892.9661.4242.0822.900
RSS1.1890.7371.1750.7381.1830.718
SRS1.0120.0242.0001.0190.0242.0001.0130.0222.000
RSS1.0010.0121.0080.0121.0010.011
10SRS1.2110.6997.3581.2050.7067.4321.2050.6777.280
RSS1.0500.0951.0420.0951.0480.093
SRS1.0120.0113.6671.0150.0113.6671.0110.013.333
RSS1.0000.0031.0040.0031.0010.003
15SRS1.1010.3237.5121.0960.3247.5351.1000.3187.571
RSS1.0170.0431.0110.0431.0160.042
SRS1.0020.0077.0001.0040.0077.0001.0020.0077.000
RSS0.9980.0011.0010.0010.9990.001

55SRS1.3861.8103.6351.3801.8403.6511.3811.7923.913
RSS1.1470.4981.1350.5041.1390.458
SRS1.0120.0212.3331.0180.0222.4441.0110.0202.222
RSS1.0000.0091.0060.0091.0000.009
10SRS1.1600.5236.2261.1550.5296.2981.1570.5136.256
RSS1.0420.0841.0350.0841.0400.082
SRS1.0050.0103.3331.0080.0103.3331.0050.0103.333
RSS1.0010.0031.0040.0031.0010.003
15SRS1.0730.2367.6131.0690.2377.6451.0740.2377.645
RSS1.0210.0311.0160.0311.0190.031
SRS1.0000.0066.0001.0020.0066.0001.0000.0066.000
RSS1.0000.0011.0030.0011.0010.001