https://orcid.org/0000-0001-6943-5123
Figures & data
Table 1. The simulation results obtained from the locally R-, D-optimal designs and the balanced design on for the first-order Poisson regression model with intercept.
Figure 1. Plot of the function ϕ in (Equation3(3)
(3) ) for the R-optimal design on
for the Poisson regression model discussed in Example 3.2: (a) for
and (b) for
.
![Figure 1. Plot of the function ϕ in (Equation3(3) ϕ(x,β)=Q(f(x)⊤β)f(x)⊤M(ξ∗,β)−1(∑j=1pej,pej,p⊤ej,p⊤M(ξ∗,β)−1ej,p)M(ξ∗,β)−1f(x)⩽p(3) ) for the R-optimal design on X=[0,5]2 for the Poisson regression model discussed in Example 3.2: (a) for β=(0,−1,−1)⊤ and (b) for β=(0,−1,0)⊤.](/cms/asset/6a46aa1c-2988-41e2-a4f9-f5d3baa88180/tstf_a_2153540_f0001_oc.jpg)
Table 2. Comparison of R-optimal design with D- and A-optimal designs on for the Poisson regression model discussed in Example 3.2.
Table 3. R-optimal designs on for proportional hazards regression models for different
and R-efficiencies of the balanced design
.
Figure 2. Plots of the functions ϕ in (Equation3(3)
(3) ) for the R-optimal designs on
for the Poisson regression models discussed in Examples 4.1 and 4.2: (a) for
and (b) for
.
![Figure 2. Plots of the functions ϕ in (Equation3(3) ϕ(x,β)=Q(f(x)⊤β)f(x)⊤M(ξ∗,β)−1(∑j=1pej,pej,p⊤ej,p⊤M(ξ∗,β)−1ej,p)M(ξ∗,β)−1f(x)⩽p(3) ) for the R-optimal designs on X=[0,5]2 for the Poisson regression models discussed in Examples 4.1 and 4.2: (a) for β=(−0.5,0.5)⊤ and (b) for β=(1,1)⊤.](/cms/asset/fcb48895-0e7f-4565-93d0-87c523aa541c/tstf_a_2153540_f0002_oc.jpg)
Figure 3. Plot of the function ϕ in (Equation3(3)
(3) ) for the R-optimal design on
for
in the Poisson regression model without intercept.
![Figure 3. Plot of the function ϕ in (Equation3(3) ϕ(x,β)=Q(f(x)⊤β)f(x)⊤M(ξ∗,β)−1(∑j=1pej,pej,p⊤ej,p⊤M(ξ∗,β)−1ej,p)M(ξ∗,β)−1f(x)⩽p(3) ) for the R-optimal design on X=[0,5]2 for β=(0.5,0.5)⊤ in the Poisson regression model without intercept.](/cms/asset/6b4245db-64ae-4122-97c0-20a6e9906cbf/tstf_a_2153540_f0003_oc.jpg)
Table 4. The locally R-optimal designs on for
in the proportional hazards regression models, the R-efficiencies of the balanced design
and the overall probability of censoring under the R-optimal design.
Table 5. The R-efficiencies of the locally R-optimal designs on for various misspecified
for the first-order Poisson regression models with intercept.