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  2. Pearson correlation coefficient - Wikipedia

    en.wikipedia.org/wiki/Pearson_correlation...

    Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.

  3. Hamada's equation - Wikipedia

    en.wikipedia.org/wiki/Hamada's_equation

    In corporate finance, Hamada’s equation is an equation used as a way to separate the financial risk of a levered firm from its business risk. The equation combines the Modigliani–Miller theorem with the capital asset pricing model. It is used to help determine the levered beta and, through this, the optimal capital structure of firms.

  4. Alpha diversity - Wikipedia

    en.wikipedia.org/wiki/Alpha_diversity

    Alpha diversity. In ecology, alpha diversity (α-diversity) is the mean species diversity in a site at a local scale. The term was introduced by R. H. Whittaker [1][2] together with the terms beta diversity (β-diversity) and gamma diversity (γ-diversity). Whittaker's idea was that the total species diversity in a landscape (gamma diversity ...

  5. Weighted correlation network analysis - Wikipedia

    en.wikipedia.org/wiki/Weighted_correlation...

    Weighted correlation network analysis, also known as weighted gene co-expression network analysis (WGCNA), is a widely used data mining method especially for studying biological networks based on pairwise correlations between variables. While it can be applied to most high-dimensional data sets, it has been most widely used in genomic applications.

  6. Standardized coefficient - Wikipedia

    en.wikipedia.org/wiki/Standardized_coefficient

    In statistics, standardized (regression) coefficients, also called beta coefficients or beta weights, are the estimates resulting from a regression analysis where the underlying data have been standardized so that the variances of dependent and independent variables are equal to 1. [1] Therefore, standardized coefficients are unitless and refer ...

  7. Beta (finance) - Wikipedia

    en.wikipedia.org/wiki/Beta_(finance)

    Beta (finance) Expected change in price of a stock relative to the whole market. In finance, the beta (β or market beta or beta coefficient) is a statistic that measures the expected increase or decrease of an individual stock price in proportion to movements of the stock market as a whole. Beta can be used to indicate the contribution of an ...

  8. Simple linear regression - Wikipedia

    en.wikipedia.org/wiki/Simple_linear_regression

    v. t. e. In statistics, simple linear regression (SLR) is a linear regression model with a single explanatory variable. [1][2][3][4][5] That is, it concerns two-dimensional sample points with one independent variable and one dependent variable (conventionally, the x and y coordinates in a Cartesian coordinate system) and finds a linear function ...

  9. Beta function - Wikipedia

    en.wikipedia.org/wiki/Beta_function

    Beta function. In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral. for complex number inputs such that .