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Table 8 Fitted bivariate Copula and the corresponding Kendall’s τ between the log return and the three liquidity proxies: the log Amihud ratio, the AR estimator, and the CS estimator

From: Relationships among return and liquidity of cryptocurrencies

Crypto

Log return &

Log Amihud Ratio

AR Estimator

CS Estimator

BTC

Copula

E2

E2

E2

Ï„

0.030

0.096

0.034

(Lower, upper)

(0.173, 0.173)

(0.233, 0.233)

(0.117, 0.117)

ETH

Copula

A5

A5

A5

Ï„

0.152

0.227

0.101

(Lower, upper)

(0, 0.306)

(0, 0.424)

(0, 0.215)

XRP

Copula

A7 (90°)

E2

E2

Ï„

− 0.186

0.016

0.021

(Lower, upper)

(0, 0)

(0.190, 0.190)

(0.101, 0.101)

BNB

Copula

E2

E2

E2

Ï„

0.052

0.100

0.034

(Lower, upper)

(0.185, 0.185)

(0.236, 0.236)

(0.105, 0.105)

LTC

Copula

E2

E2

E2

Ï„

0.016

0.099

− 0.008

(Lower, upper)

(0.186, 0.186)

(0.235, 0.235)

(0.104, 0.104)

DOGE

Copula

E2

E2

E2

Ï„

− 0.007

0.004

− 0.010

(Lower, upper)

(0.154, 0.154)

(0.184, 0.184)

(0.043, 0.043)