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Table 1 The simulation results for sequence I

From: Empirical likelihood inference for threshold autoregressive conditional heteroscedasticity model

\((\theta _{1}, \theta _{2}, \alpha _{0}, \alpha _{1}, \alpha _{2})\)

n = 100

n = 300

n = 500

(0.1,0.1,1,0.1,0.1)

(0.9520,0.3140)

(0.9410,0.4710)

(0.9330,0.6950)

(0.1,0.1,3,0.3,0.3)

(0.9570,0.3170)

(0.9440,0.4890)

(0.9360,0.6870)

(0.1,0.1,5,0.5,0.5)

(0.9520,0.3170)

(0.9450,0.4890)

(0.9330,0.6880)

(0.1,0.1,7,0.7,0.7)

(0.9530,0.3000)

(0.9350,0.4850)

(0.9260,0.7110)

(−0.1,−0.1,1,0.1,0.1)

(0.9630,0.3210)

(0.9330,0.4870)

(0.9350,0.7020)

(−0.1,−0.1,3,0.3,0.3)

(0.9360,0.3110)

(0.9510,0.5020)

(0.9290,0.6860)

(−0.1,−0.1,5,0.5,0.5)

(0.9420,0.3330)

(0.9370,0.5100)

(0.9510,0.7310)

(−0.1,−0.1,7,0.7,0.7)

(0.9420,0.3200)

(0.9480,0.5250)

(0.9220,0.6890)

(0.2,0.2,1,0.1,0.1)

(0.9580,0.3290)

(0.9430,0.5140)

(0.9330,0.7120)

(0.2,0.2,3,0.3,0.3)

(0.9480,0.3490)

(0.9310,0.4920)

(0.9380,0.7110)

(0.2,0.2,5,0.5,0.5)

(0.9540,0.3540)

(0.9420,0.4890)

(0.9290,0.6900)

(−0.2,−0.2,1,0.1,0.1)

(0.9530,0.3290)

(0.9570,0.5080)

(0.9220,0.6860)

(−0.2,−0.2,3,0.3,0.3)

(0.9590,0.3640)

(0.9440,0.5210)

(0.9350,0.7020)

(−0.2,−0.2,5,0.5,0.5)

(0.9550,0.3400)

(0.9350,0.5000)

(0.9280,0.7130)

(0.3,0.3,1,0.1,0.1)

(0.9400,0.3420)

(0.9440,0.5250)

(0.9290,0.6910)

(0.3,0.3,3,0.3,0.3)

(0.9530,0.3470)

(0.9310,0.5170)

(0.9390,0.7440)

(−0.3,−0.3,1,0.1,0.1)

(0.9410,0.3610)

(0.9380,0.5090)

(0.9360,0.7050)

(−0.3,−0.3,3,0.3,0.3)

(0.9460,0.3840)

(0.9330,0.5300)

(0.9320,0.7010)

(0.4,0.4,1,0.1,0.1)

(0.9740,0.3100)

(0.9530,0.4120)

(0.9430,0.7210)

(0.4,0.4,1,0.3,0.3)

(0.9580,0.3700)

(0.9440,0.5260)

(0.9370,0.7090)

(−0.4,−0.4,1,0.1,0.1)

(0.9540,0.3850)

(0.9290,0.7360)

(0.9120,0.6950)

(−0.4,−0.4,1,0.3,0.3)

(0.9530,0.3870)

(0.9320,0.7260)

(0.9310,0.7170)

(0.5,0.5,1,0.1,0.1)

(0.9580,0.4140)

(0.9380,0.7350)

(0.9330,0.7270)

(−0.5,−0.5,1,0.1,0.1)

(0.9510,0.3950)

(0.9420,0.7280)

(0.9290,0.7350)