CaviarModel(0.05, model='adaptive', method='mle')
trial 1: beta = np.array([-0.64774347])
![image](https://user-images.githubusercontent.com/69416199/226257923-4fc9b8f1-2e6b-49e8-9dae-6f686a0412d3.png)
trial 2: beta = np.array([-84.26894253])
show error: D:\CAViaR-Project\test..\caviar_caviar_function.py:20: RuntimeWarning: overflow encountered in exp
1 / (1 + np.exp(G * (returns[t - 1] - sigmas[t - 1]))) - quantile)
![image](https://user-images.githubusercontent.com/69416199/226258543-80e0ed82-e6aa-4272-bd29-acc9d2eb6528.png)
CaviarModel(0.05, model='asymmetric', method='mle')
trial 1: np.array([-3.38156961, -0.76269892, -0.0212416 , 0.90496001])
![image](https://user-images.githubusercontent.com/69416199/226257752-b93a56c1-820f-4e26-9c8a-c4ad4ea1d2c8.png)
trial 2: beta = np.array([-0.0308821 , 0.98321657, 0.10719172, 1. ])
![image](https://user-images.githubusercontent.com/69416199/226258167-786bc213-3e55-4119-b193-5e59c6a7564e.png)
trial 3: beta = np.array([-7.38144696e-01, 6.16001322e-01, 3.56295801e-09, 5.42463432e-01])
![image](https://user-images.githubusercontent.com/69416199/226258378-57eaf52d-20f3-4170-b3bc-adcbe13f97ea.png)
![image](https://user-images.githubusercontent.com/69416199/226286773-f6be4f75-a4c0-400c-a06f-810023a5ea8d.png)
CaviarModel(0.05, model='symmetric', method='mle')
trial 1: beta = np.array([-0.04064223, 0.87657701, -0.23026562])
trial 2: beta = np.array([-0.04058351, 0.87658738, -0.23027769])
trial 4: beta = np.array([-0.04076704, 0.87653064, -0.23027652])
![image](https://user-images.githubusercontent.com/69416199/226257687-861c4b8e-7922-4efe-b26a-5372e240a466.png)
trial 3: beta = np.array([-0.80190414, 0.43086385, -0.30877964])
![image](https://user-images.githubusercontent.com/69416199/226258886-5595a5c4-4dcc-4419-9235-6b1d99456e57.png)
CaviarModel(0.05, model='igarch', method='mle')
trial 1: beta = np.array([1.65923914, 0.51150889, 0.70126179])
![image](https://user-images.githubusercontent.com/69416199/226259122-a27e50c8-5036-44e9-8757-fd9efe8c50ca.png)
trial 2: beta = np.array([1.14950421, 0.47399757, 0.57122966])
![image](https://user-images.githubusercontent.com/69416199/226259060-af1ff7fe-d8fb-4cef-b927-611948d77406.png)
They all showed inconsistence in the convergence.