Implied volatility is a standard deviation based metric and, while not required, users typically embed the presumption of a bell-shaped curve. Starting with implied volatility, the risk manager or financial ana
b Cumulative delay distributions. The delay distributions were modeled using the Lomax distribution, a two-parameter distribution extension of the Exponential distribution with heavier right tails. Cluster medoids are bolded, with points showing the associated delay data. c Cumulate effective MCV1 ...
The fractal dimension can also be inferred from the probability distribution of the first neighbour14. Finally, Nearest Neighbors-Based ID estimators describe data neighborhoods distributions as functions of the intrinsic dimension d, usually assuming that close points are uniformly drawn from small ...
“We believe it is more rational for scientists debating the specifics of a topic in which they are acknowledged experts to provide their best estimates of probability distributions and possible outliers based on their assessment of the literature than to have users less expert in such topics make...
The higher variance and kurtosis for women can be interpreted as more variability and heavier tails for the distribution of probability, which expressed the heterogeneity of female morbidity (Figures 4 and 5). In other words, the burden of morbidity generated higher costs for women, with more ...
Here the "tails" of the curve follow a power law. These longer return time series have some amount of autocorrelation and a non-random Hurst exponent. This has suggested to many people that these longer return time series are long memory processes. ...
Intuitively, the two-sample t-test produces a p-value that can be used to decide whether there is evidence of a significant differ- ence between the two distributions of VoG scores. The p- value represents the probability that the difference between the sample means is lar...
There are obvious differences between the ranges derived from the structured expert judgment and our expert survey, particularly in the magnitude of the upper tails of the distributions. The structured expert judgment15 provided combined ice sheet sea-level rise contributions, which alone show a very...
{n_i}\)and the correspondingz-test by fitting a probit regression model with\(\sqrt{n_i}\)as a predictor of the significance decisions\(\mathcal {S}_i\)(Irmer et al.,2024). Hence, the power, defined as the probability of a significant effect, is modeled as a standard probit ...
quantile regression can provide insight into the nature of that relationship at the center as well as the tails of the response distribution. In an example application used for illustrative purposes described herein, a focus was placed on the 0.5 (median regression) and the 0.9 quantiles of log...