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\section{Introduction}  Currently in the known pulsar searches we have been using a uniform prior distribution between zero and some abitrary, arbitrary,  but large, upper value e.g. \begin{equation}  p(h_0|I) = \begin{cases}  \frac{1}{h_{\mathrm{max}}} & \text{if } \geq 0 \leq h_0 < h_{\mathrm{max}} \\  0 & \text{otherwise}.  \end{cases}  \end{equation}  However, this type of prior place a lot of probability at large values of $h_0$ where in fact there is very little prior probability. A As  $h_0$ is a scale factor factor,  the general least informative prior is the Jeffreys prior of the form \begin{equation}\label{eq:jeffreys}  p(h_0|I) \propto \frac{1}{h_0},  \end{equation}