The generalized canonical equations K ₁, K ₇, K ₁₆, K ₂₇. The REFORM method, the invariance principal method, the matrix expansion method and G-transform. The main stochastic canonical equations K ₁₀₀,...,K ₁₀₆ and the estimators G ₅₅,...,G ₅₈ of the MAGIC (Mathematical Analysis of General Invisible Components)

The generalized version of the stochastic canonical equations <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msub> <m:mi>K</m:mi> <m:mn>1</m:mn> </m:msub> <m:mo>,</m:mo> <m:msub> <m:mi>K</m:mi> <m:mn>7</m:mn> </m:msub> <m:mo>,</m:mo> <m:msub> <m:mi>K</m:mi> <m:mn>16</m:mn> </m:msub> </m:mrow> </m:math> {K₁,K₇,K₁₆} and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>K</m:mi> <m:mn>27</m:mn> </m:msub> </m:math> {K₂₇} are founded under the generalized Lindeberg condition with the help of which the main MAGIC estimators <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msub> <m:mi>G</m:mi> <m:mn>55</m:mn> </m:msub> <m:mo>,</m:mo> <m:msub> <m:mi>G</m:mi> <m:mn>56</m:mn> </m:msub> <m:mo>,</m:mo> <m:msub> <m:mi>G</m:mi> <m:mn>57</m:mn> </m:msub> <m:mo>,</m:mo> <m:msub> <m:mi>G</m:mi> <m:mn>58</m:mn> </m:msub> </m:mrow> </m:math> {G₅₅,G₅₆,G₅₇,G₅₈} are found.