95% CP in percentage for the first set of simulations: |$S=400$|, |$\boldsymbol{\theta }=\lbrace 0.3, 0.6, 0.8, \log (3), \log (0.5), \log (1.6)\rbrace$|.
Method . | |$K_1,\ldots ,K_M$| . | Intercept . | |$X_1$| . | |$X_2$| . | |$\log (\tau ^2)$| . | |$\log (\rho ^2)$| . | |$\log (\sigma ^2)$| . |
---|---|---|---|---|---|---|---|
|$\widehat{\boldsymbol{\theta }}_r$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
|$\widehat{\boldsymbol{\theta }}_s$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
Part. | 100 | 100 | 100 | 0 | 0 | 0 | |
NNGP | 95 | 95 | 95 | 96 | 96 | 96 |
Method . | |$K_1,\ldots ,K_M$| . | Intercept . | |$X_1$| . | |$X_2$| . | |$\log (\tau ^2)$| . | |$\log (\rho ^2)$| . | |$\log (\sigma ^2)$| . |
---|---|---|---|---|---|---|---|
|$\widehat{\boldsymbol{\theta }}_r$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
|$\widehat{\boldsymbol{\theta }}_s$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
Part. | 100 | 100 | 100 | 0 | 0 | 0 | |
NNGP | 95 | 95 | 95 | 96 | 96 | 96 |
95% CP in percentage for the first set of simulations: |$S=400$|, |$\boldsymbol{\theta }=\lbrace 0.3, 0.6, 0.8, \log (3), \log (0.5), \log (1.6)\rbrace$|.
Method . | |$K_1,\ldots ,K_M$| . | Intercept . | |$X_1$| . | |$X_2$| . | |$\log (\tau ^2)$| . | |$\log (\rho ^2)$| . | |$\log (\sigma ^2)$| . |
---|---|---|---|---|---|---|---|
|$\widehat{\boldsymbol{\theta }}_r$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
|$\widehat{\boldsymbol{\theta }}_s$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
Part. | 100 | 100 | 100 | 0 | 0 | 0 | |
NNGP | 95 | 95 | 95 | 96 | 96 | 96 |
Method . | |$K_1,\ldots ,K_M$| . | Intercept . | |$X_1$| . | |$X_2$| . | |$\log (\tau ^2)$| . | |$\log (\rho ^2)$| . | |$\log (\sigma ^2)$| . |
---|---|---|---|---|---|---|---|
|$\widehat{\boldsymbol{\theta }}_r$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
|$\widehat{\boldsymbol{\theta }}_s$| | 2, 2, 4 | 94 | 96 | 94 | 96 | 93 | 95 |
2, 4, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
4, 2, 2 | 94 | 95 | 95 | 96 | 93 | 95 | |
2, 8 | 94 | 96 | 94 | 96 | 93 | 95 | |
2, 2, 2, 2 | 95 | 96 | 94 | 96 | 93 | 95 | |
Part. | 100 | 100 | 100 | 0 | 0 | 0 | |
NNGP | 95 | 95 | 95 | 96 | 96 | 96 |
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