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The Blume beta shrinks the estimated OLS beta towards a mean of 1, calculating the weighted average of 2/3 times the historical OLS beta plus 1/3. A version based on monthly rates of return is widely distributed by Capital IQ and quoted on all financial websites.
The mean absolute deviation around the mean is a more robust estimator of statistical dispersion than the standard deviation for beta distributions with tails and inflection points at each side of the mode, Beta(α, β) distributions with α,β > 2, as it depends on the linear (absolute) deviations rather than the square deviations from the ...
For example, if a stock tends to show varying returns that are 50% greater than the movements of the overall market, that stock will have a beta of 1.5. The overall market has a beta of 1.0, as it ...
Beta: Beta measures the sensitivity of an investment’s returns to market returns. A beta greater than one indicates higher volatility than the market, while a beta less than 1 suggests lower ...
It is a multivariate generalization of the beta distribution, [1] hence its alternative name of multivariate beta distribution (MBD). [2] Dirichlet distributions are commonly used as prior distributions in Bayesian statistics , and in fact, the Dirichlet distribution is the conjugate prior of the categorical distribution and multinomial ...
Values for standardized and unstandardized coefficients can also be re-scaled to one another subsequent to either type of analysis. Suppose that β {\displaystyle \beta } is the regression coefficient resulting from a linear regression (predicting y {\displaystyle y} by x {\displaystyle x} ).
An odds ratio (OR) is a statistic that quantifies the strength of the association between two events, A and B. The odds ratio is defined as the ratio of the odds of event A taking place in the presence of B, and the odds of A in the absence of B. Due to symmetry, odds ratio reciprocally calculates the ratio of the odds of B occurring in the presence of A, and the odds of B in the absence of A.
In statistics, an effect size is a value measuring the strength of the relationship between two variables in a population, or a sample-based estimate of that quantity. It can refer to the value of a statistic calculated from a sample of data, the value of one parameter for a hypothetical population, or to the equation that operationalizes how statistics or parameters lead to the effect size ...