The purpose of the paper is to analyze an influence of individual poverty measures and function types of income distribution on speed and pace of joint poverty measure P for population. The research was done for the case of log-normal income distribution and two measures of individual poverty: P(x,z) =1- x/z, P(x,z) = ln z/x for income 'x' and poverty line 'z'. It allowed for focusing on the following problems: the choice of poverty line level if the selection to the poor group is not dichotomous but a degree of poverty is based on individual poverty measure P(x,z); observed relations between values of joint poverty measure P for selected poverty line levels. In particular, the authoresses analyzed changes, relative changes, speed and pace of adjustment as well as curve elasticity of joint poverty measure for population to changes in poverty line.
In the paper the authoresses analyzed a variance of estimate of joint poverty measure for population based on sample. The solution was given with the use of Lagrange and Taylor theorems. The results are generalized and can be given in more details after selection of analytical forms of individual poverty measures.
The Solow growth model with a CES production function was discussed and relations between an economy fiscalization ratio and investment rates for state revenues and for microeconomic agents' sector revenues were investigated. Conditions were formulated to be met in order to keep the economy on a balanced growth path. Properties of a production function and a consumption per effective labor unit function were also analyzed. The results are of a general nature.