Density of the Ratio of Two Normal Random Variables and Applications

By T. Pham‐Gia, N. Turkkan, É. Marchand. 2006

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The Prediction Properties of Classical and Inverse Regression for the Simple Linear Calibration Problem (2010, background): “Because the function U/V has continuous first and second partial derivatives, from Pham-Gia et al. (2006), we note that”
The Prediction Properties of Inverse and Reverse Regression for the Simple Linear Calibration Problem (2010, background): “From Pham-Gia, Turkkan, and Marchand (2006), we note that for two random variables U and V , E ( U V ) ≈ E(U) E(V ) + E(U) E(V )3 var(V )− cov(U, V ) E(V )2 .”
Monitoring the ratio of population means of a bivariate normal distribution using CUSUM type control charts (2016, background): “In the literature, there are some studies about the distribution of the ratio of two normal variables, for further details see for instance: Geary (1930), Hayya et al. (1975), Cedilnik et al. (2004) and Pham-Gia et al. (2006).”