Compute moments of univariate truncated t distribution

Description

Compute moments of univariate truncated t distribution

Usage

1
e_trunct(a, b, df, r)

Arguments

a

the left end of the truncation interval

b

the right end of the truncation interval

df

the degrees of freedom of the t distribution

r

the degree of moment to compute

Details

This function computes the r-th moment of the univariate t distribution on df degrees of freedom, truncated to the interval (a,b). If parameters are vectors then the r[i]th moment is computed for each (a[i],b[i],v[i]) The methods are based on results in O'Hagan (1973) and work for df>r. Otherwise NaN is returned.

References

O'Hagan, A. (1973) Bayes estimation of a convex quadratic. Biometrika 60 (3).

Examples

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 e_trunct(-3,3,3,2) # second moment of t distribution on 3df truncated to (-3,3)
 e_trunct(-2,2,4,1) # first moment, should be 0 by symmetry

 e_trunct(c(-3,-2),c(3,2),c(3,4),c(2,1)) # the function is vectorized

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