Definition 2: If A is a positive semidefinite matrix, then the square root of A, denoted A½, is defined to be the n× n matrix CD½CT where C is as defined in Definition 1 of Symmetric matrices and D½ is the diagonal matrix whose main diagonal consists of ,…, ....
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...
Figure 6e shows that a definition of binder–format combinations solely by combining rule-deduced best features provides candidates (see methods for details of generating the scoring rubric). However, such analyses/predictions also generate some false positives (a nuisance which however become eliminated...
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...
use MathPHP\Functions\Special; // Gamma function Γ(z) $z = 4; $Γ = Special::gamma($z); // Uses gamma definition for integers and half integers; uses Lanczos approximation for real numbers $Γ = Special::gammaLanczos($z); // Lanczos approximation $Γ = Special::gammaStirling($z)...
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...
($X, RandomVariable::POPULATION_SKEWNESS) - Similar to Excel's SKEW.P, classic textbook definition, R (e1071) skewness type 1 $skewness = RandomVariable::alternativeSkewness($X); // Same as RandomVariable::skewness($X, RandomVariable::ALTERNATIVE_SKEWNESS) - Alternative, classic definition of...