## Setting a new pdf Distribution and estimating its parameters by MLE

Good morning. I need to create a pdf and esteimate its parameters by MLE method. The distribution is a power law ($f(x)=C(k)\;x^{-k}$ ) and I need to estimate the $k$ parameter and $C(k)$ is determinated by the normalization condition $\int_a^b\;C(k)\;x^{-k}=1$ . I have tried to define the power distribution with ProbabilityDistribution function usin, for example, C=5, but when I want to plot it, Mathematica doesn’t display the plot. What I’ve been writing is

distr=ProbabilityDistribution[5/x^1.05,{x,0,Infinity}]
PDF[distr,x]
Plot[%,{x,0,1}]



NOTE: when I try to define de distribution function I’m setting $k=1.05$ , just for knowing if I’m doing it well.