The paper presents the unified theoretical description of three levels of the
market-based statistical moments of "actual" returns, which Investors gain
within their market sales. The market-based statistics of "actual" returns
takes into account the size of the trade sale values, purchased values and
volumes of stocks and that differs it from conventional regular statistics
based on frequency analysis of returns time-series. We start with description
of statistical moments of returns, which Investor gains via a single sale due
to his multiple purchases in the past. The second level describes statistics of
returns, which Investor gains performing numerous market sales during the
"trading day". The third level describes statistics of returns that different
Investors gain during the "trading day". We derive dependence of statistical
moments of returns on statistical moments of market sale values, purchased
values and volumes of stocks. In its turn, statistical moments of trade values
and volumes for finite number of market trades during the "trading day" are
assessed via regular frequency-based probability.Comment: 16 page