“Fieller's theorem”的概念、定义、翻译、参考文献-科学参考

Fieller's theorem

Statistics

A theorem first stated by E. C. Fieller in 1940. Suppose that the random variables X and Y have expected values μ_x and μ_y , respectively, and a bivariate normal distribution (see multivariate normal distribution). The quantity of interest is γ, the ratio of the two expected values: $Fieller's theorem$ Let x̄ and y¯ be estimates (see estimator) of μ_x and μ_y, respectively, and let the respective estimates of the variances and covariance be denoted by s_x², s_y² and c_xy, with ν degrees of freedom. Fieller's theorem states that $Fieller's theorem$ has a t-distribution with ν degrees of freedom.

单词	Fieller's theorem
释义	Fieller's theorem Statistics A theorem first stated by E. C. Fieller in 1940. Suppose that the random variables X and Y have expected values μ_x and μ_y , respectively, and a bivariate normal distribution (see multivariate normal distribution). The quantity of interest is γ, the ratio of the two expected values: $Fieller's theorem$ Let x̄ and y¯ be estimates (see estimator) of μ_x and μ_y, respectively, and let the respective estimates of the variances and covariance be denoted by s_x², s_y² and c_xy, with ν degrees of freedom. Fieller's theorem states that $Fieller's theorem$ has a t-distribution with ν degrees of freedom.
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