priorResearch: Research for Prior

In BayesianFROC: FROC Analysis by Bayesian Approaches

Description

The autor investigates prior

Usage

priorResearch(z, m = 6, sd = 1, e = 0.01)

Arguments

z	a real number, indicating θ_c.
m	a real number, specifying the mean of signal Gaussian
sd	a real number, specifying the standard deviation of signal Gaussian
e	a positive real number, indicating ε.

Value

A real, to investigate prior

μ + σ Φ^{-1}(1- ε + Φ( \frac{θ_{c} - μ }{σ} ) ) - Φ^{-1}( Φ( θ) \exp(ε ))

where, m = μ, sd = σ, z = θ, e = ε.

Examples

#========================================================================================
#            From this plot, we can evaluate the minimum value of x such that
#            the value is negative.
#========================================================================================


      x <- runif(100,-1,3 )  # Syntheisze 100 smaples from Uniform(-1,3)
      y <- priorResearch(x)

     plot(x,y)

BayesianFROC documentation built on Jan. 23, 2022, 9:06 a.m.