The Distribution of Financial Ratios—A Note

1994 ◽  
Vol 9 (2) ◽  
pp. 215-223 ◽  
Author(s):  
Jacky C. So

Three competitive distributions are offered by the literature to explain the non-normality and skewness of the cross-sectional distribution of financial ratios: the mixture of normal distributions, the lognormal distribution, and the gamma distribution. Using a new technique, this paper shows that the lognormal distribution and the gamma distribution are not supported by the empirical evidence. Although these two distributions indeed capture skewness, they do not portray the correct shape of the distributions. The non-normal stable Paretian distribution seems to be good candidate to describe the distribution of financial ratios.

2017 ◽  
Vol 52 (3) ◽  
pp. 1081-1109 ◽  
Author(s):  
Yong Chen ◽  
Michael Cliff ◽  
Haibei Zhao

We develop an estimation approach based on a modified expectation-maximization (EM) algorithm and a mixture of normal distributions associated with skill groups to assess performance in hedge funds. By allowing luck to affect both skilled and unskilled funds, we estimate the number of skill groups, the fraction of funds from each group, and the mean and variability of skill within each group. For each individual fund, we propose a performance measure combining the fund’s estimated alpha with the cross-sectional distribution of fund skill. In out-of-sample tests, an investment strategy using our performance measure outperforms those using estimated alpha and t-statistic.


2016 ◽  
Vol 8 ◽  
pp. 1-7 ◽  
Author(s):  
Ryan J. Kowalski ◽  
C.D. Morrow ◽  
Armando G. McDonald ◽  
Girish M. Ganjyal

1999 ◽  
Vol 47 (17) ◽  
pp. 4405-4413 ◽  
Author(s):  
J.M. Sánchez ◽  
S. El-Mansy ◽  
B. Sun ◽  
T. Scherban ◽  
N. Fang ◽  
...  

Biorheology ◽  
2018 ◽  
Vol 54 (5-6) ◽  
pp. 153-165 ◽  
Author(s):  
Takahiro Sasaki ◽  
Junji Seki ◽  
Tomoaki Itano ◽  
Masako Sugihara-Seki

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