Research Article

Degenerate-Generalized Likelihood Ratio Test for One-Sided Composite Hypotheses

Table 3

Implementation of the DGLRT with the first 20 observations of breaking strength of a strapping tape.

StandardizedThe DGLRT
𝑖 𝑋 𝑖 𝑋 𝑖 m a x 1 𝑗 𝑘 𝑅 𝑖 ( 𝜃 𝑗 , 𝜃 0 ) m a x 1 𝑗 𝑘 𝑅 𝑖 ( 𝜃 𝑗 , 𝜃 1 )

1 191 −1.250 1 3.490
2 193−1.083 110.309
3 204 −0.167 112.182
4 2150.75015.755
5 182−2.000 1 42.521
6 2231.4171 10.309
7 194−1.000 1 28.022
8 202−0.333 139.095
9 214 0.667 1 20.065
10 210 0.333 114.382
11 186 −1.667 1 76.172
12 211 0.417150.199
13 202 −0.333170.035
14 201 −0.417 1 106.272
15 191−1.250 1 370.925
16 193−1.083 11095.537
17 196−0.833 12519.964
18 189−1.417 1 10394.166
19 194−1.000 128254.274
20 209 0.250 1 22004.450