4.25 Let x1,...,xn denote a random sample from the Cauchy distribution, with single unknown parameter , which

4.25 Let x1,...,xn denote a random sample from the Cauchy distribution, with single unknown parameter θ, which has pdf given by f(x) = 1

π{1+(x − θ)2}

, −∞

1. Show that the Newton-Raphson iterative method for obtaining the maximumlikelihood estimate θ

 has the form below, where θ

(m) denotes the mth iterate for θ

: