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Table 2 Parameter mapping in the simulation study

From: Modeling gene expression measurement error: a quasi-likelihood approach

observed scale y

normal scale x

μ = (/2sinh(u) - a)/b

σ2 = - 1

s2 = log(1 + σ2)

E(y)= μ

E(x) = u

var(y) = (μ - β)2σ2 + ρ2

var(x) = s2

y = asinh(a + by)

x ~ N(u, s2)