Abstract: Skewed distributions generated by birth-death process with different particular forms of intensivities' moderate growth are used in biomolecular systems and various non-mathematical fields. Based on datasets of biomolecular systems such distributions have to exhibit the power law like behavior at infinity, i.e. regular variation.
In the present paper for the standard birth-death process with most general than before assumptions on moderate growth of intensivities the following problems are solved.
\item The stationary distribution varies regularly iff the sequence of intensivities varies regularly. \item The slowly varying component and the exponent of regular variation of stationary distribution are found.
Keywords: Standard birth-death process, moderate growth, skewed distribution, regular variation, biomolecular systems.