International Scholarly Research Notices / 2012 / Article / Tab 1

Research Article

Bayesian Estimation for Burr Distribution Type III Based on Trimmed Samples

Table 1

The maximum likelihood estimator, the standard deviation, and covariance of the Burr distribution with two parameter under doubly censored sample when (a) ( , ), (b) ( , ), (c) ( , ), (d) ( , ).
(a)

  
MLEStandard deviationMLEStandard deviation

54.6193.6897.8414.341
58.814
10724.5343.5244.6724.17250.042
94.3383.3084.7223.20222.784

106.8743.8746.6544.15466.589
201526.4832.4836.4393.93964.752
186.1473.1476.3073.80741.058

206.4983.4986.8024.30274.941
403035.3843.3846.4713.97162.603
385.2872.2875.6293.12939.913

305.6922.6926.7944.29462.054
604535.5422.5426.6784.17847.829
585.2012.2015.4892.98916.475

405.4482.4486.8244.32478.475
806555.7072.7076.6714.17166.942
785.3342.3345.3912.89111.313

506.6893.6896.8414.34158.814
1007556.5243.5246.6724.17250.042
986.3083.3085.7023.20230.784

(b)

  
MLEStandard deviationMLEStandard deviation

56.6893.6896.8414.34158.814
10726.5243.5246.6724.17250.042
96.3083.3085.7023.20230.784

106.8743.8746.6544.15466.589
201526.4833.4836.4393.93964.752
186.1473.1476.3073.80741.058

206.4983.4986.8024.30274.941
403036.3843.3846.4713.97162.603
385.2872.2875.6293.12939.913

305.6922.6926.7944.29462.054
604535.5422.5426.6784.17847.829
585.2012.2015.4892.98916.475

405.4482.4486.8244.32478.475
806555.7072.7076.6714.17166.942
785.3342.3345.3912.89111.313

506.6893.6896.8414.34158.814
1007556.5243.5246.6724.17250.042
986.3083.3085.7023.20230.784

(c)

  
MLEStandard deviationMLEStandard deviation

55.9522.9525.1593.15969.043
10725.7122.7124.9142.91455.876
95.8192.8194.2492.24938.874

105.9842.9845.1473.14768.497
201525.1472.1474.2712.27124.984
185.0782.0784.0142.01414.872

205.6182.6185.0813.08169.187
403035.4912.4914.9412.94157.078
385.1072.1074.0282.02823.174

305.3472.3474.6272.62770.842
604535.1482.1484.4892.48958.247
585.0042.0044.3092.30941.872

405.3342.3344.6582.65874.194
806555.2382.2384.7482.74860.827
784.9971.9974.1022.10247.145

500.4470.5531.390.191.987
1007550.4740.5261.3170.1171.854
981.2180.2181.2340.0341.823

(d)

  
MLEStandard deviationMLEStandard deviation

51.3950.3952.7170.71742.175
10721.5010.5012.5850.58535.214
91.0140.0142.4610.46118.258

101.2840.2842.6480.64840.954
201521.4810.4812.4410.44133.254
181.0080.0082.3140.31416.418

201.6580.6582.9950.99568.284
403031.0180.0182.1470.14750.258
381.0010.0011.6540.34652.547

301.2280.2282.9540.95468.952
604531.1090.1092.7560.75653.218
581.0190.0192.3410.34140.021

401.7210.7212.4810.48177.248
806551.8560.8562.4410.44180.514
781.0070.0071.7610.23954.951

501.3950.3952.7170.71742.175
1007551.5010.5012.5850.58535.214
981.0140.0142.4610.46118.258

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