  We build in this article new families of algebraic vector bundles of rank
$2n+1 $ on the complex projective space $\mathbb{P}^{2n +2} $ from two bundles
of rank $2n$ on $\mathbb{P}^{2n+1}$, the weighted null correlation bundles
\cite{bah2} and the weighted Tango bundles \cite{bah1} while using the method
of Kumar-Peterson-Rao \cite{ku-ra-pe}. We construct another example of vector
bundle of rank 3 on $\mathbb{P}_\mathbb{K}^4$ different than the one presented
in \cite{ku-ra-pe}, where $\mathbb{K}$ is any field.
