Conditioning of prior distributions

Prior objects can be conditioned on lower or upper boundaries, intervals, or single values to restrict their support. Various shorthand notations are supported (see examples).

condition(prior, low = 0, high = 1)

# S4 method for Prior
condition(prior, low = 0, high = 1)

prior %|% interval

# S4 method for Prior,numeric
%|%(prior, interval)

Arguments

prior	Prior distribution object representing a prior on the unit interval [0,1]
low	[optional] lower boundary to condition on
high	[optional] upper boundary to condition on

See also

Prior, updating for Bayesian updating

Examples

badr::load_julia_package()

load_julia_package()
condition(Beta(2, 3), low = 0.2)
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type Beta{Float64}.
#> Beta|[0.20,1.00](a=2.00,b=3.00)
condition(Beta(2, 3), high = 0.9)
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type Beta{Float64}.
#> Beta|[0.00,0.90](a=2.00,b=3.00)
condition(Beta(2, 3), low = 0.2, high = 0.9)
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type Beta{Float64}.
#> Beta|[0.20,0.90](a=2.00,b=3.00)

Beta(5, 7) %|% c(0.2, 0.7) # shorthand for conditioning on interval
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type Beta{Float64}.
#> Beta|[0.20,0.70](a=5.00,b=7.00)
Beta(5, 7) %|% 0.5 # condition on single point
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type PointMass{Float64}.
#> PointMass(0.50)

Beta(5, 7) <= 0.5 # = condition(Beta(5, 7), high = 0.5)
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type Beta{Float64}.
#> Beta|[0.00,0.50](a=5.00,b=7.00)
0.2 <= Beta(5, 7) # = condition(Beta(5, 7), low = 0.2)
#> An object of class "Beta"
#> Slot "jprior":
#> Julia Object of type Beta{Float64}.
#> Beta|[0.20,1.00](a=5.00,b=7.00)