Theory and Modern Applications
Table 6 Upper bounds of b for Example 4.3 when \(\pmb{\gamma=0.5}\)
Methods \(\boldsymbol {\sigma_{2}=\tau_{2}=0.5}\) | b | |
|---|---|---|
A.S. ( α  = 0) | E.S. ( α  = 0.177) | |
Agarwal and Grace (2000) [4] | 0.318 | - |
El-Morshedy and Gopalsamy (2000) [15] | 0.424 | - |
Park and Kwon (2008) [32] | 0.422 | - |
Kwon and Park (2008) [21] | 1.49 | - |
Li (2009) [24] | 0.699 | 0.722 |
Deng et al. (2009) [14] | 0.889 | - |
Nam and Phat (2009) [29] | 1.405 | - |
Rojsiraphisal and Niamsup (2010) [34] | 1.405 | 0.478 |
Chen and Meng (2011) [8] | 1.346 | - |
Chen (2012) [7] | 1.405 | 1.092 |
Keadnarmol and Rojsiraphisal (2014) [23] | 1.405 | 1.1089 |
Corollary 3.2 | 1.4051 | 1.2114 |