These time series are skewed to the left: ___
These time series are skewed to the right: __
These time series are platykurtic: __
These times series are leptokurtic: _____
Need help in determining the type of skewness and kutosis
K. Guesmi et al. International Review of Financial Analysis 63 (2019) 431-437 Table 1 Descriptive statistics of returns series. Statistics/variables Bitcoin MSCI Emerging Market Index MSCI Global Market Index Gold Euro-Dollar WTI VIX Yuan Mean 0.0050 0.0001 0.0003 - 0.0001 0.00003 -0.0003 -0.0005 Min -0.2696 0.00001 -0.0512 -0.0502 -0.1016 -0.0259 - 0.0905 -0.2998 Maximum -0.0114 0.4996 0.0332 0.0293 0.0543 0.0225 0.1128 Standard deviation 0.4010 0.0519 0.0180 0.0086 0.0067 0.0096 0.0053 0.0205 0.0713 0.0014 Skewness 0.4303 -0.2699 - 0.5881 -0.7578 -0.0714 0.3526 Excess kurtosis 0.7165 10.474 0.9070 2.1415 4.2825 10.372 1.8947 3.3831 4.2295 Jarque-Bera 21.419 7183.5 317.25 1282.8 7146.3 234.83 776.79 P-value 1297.1 30,054 (0.00) (0.00) (0.00) (0.00) (0.00) (0.00) (0.00) ARCH LM test (1) 66.07*#* (0.00) 20.05**# 35.71*#* 11.23*#* 5.65*#* 88.65**# 56.60*#* 58.53*#* ARCH LM test (5) 35.59#* * 17.95**# 21.25* * * 4.86** 8.51** 51.06*# 22.98** ARCH LM test (10) 20.24*#* 24.20*#* 12.52*#* 11.66*#* 2.87** 5.76*# 29.87*#* 11.77*#* 12.39*#* LB-Q (5) 3.78 53.30*#* 23.84*#* 2.90 2.07 1.978 8.042 LB-Q (10) 11.75*# 6.14 57.64* *# 26.85** * 9.57 10.72 3.192 18.34** LB-Q (20) 15.34 25.28 63.52*#* 34.48*# 21.01 22.88 8.93 39.09*## LB-Q (5) 230.52*#* 30.34 119.62**# 154.72**# 23.89*#* 46.88*#* 425.07*#* 142.02*#* LB-Q2 (10) 114.12*#* 329.83*#* 200.47* * 196.79** * 29.69** * 71.35*#* 692.61 * * * LB-Q (20) 147.76** 453.02*## 120.70*#* 281.52**# 223.67*#* 35.72*## 134.65**# 1176.35**# 158.23*## 126.86*#* Observations 1561 1561 1561 1561 1561 1561 1561 1561 Note: *, ** and *** indicate rejection of null hypothesis for normality using JB statistic, for no ARCH effects using ARCH LM test and for no autocorrelation using Ljung-Box Q-statistic test at 1%, 5% and 10%, respectively. WTI and VIX refer to West Texas Intermediate and Implied Volatility Index, respectively
