Model assumption H4 states that the distribution of the population by per capita total expenditures x in the range of statistically unobservable values of these expenditures (i.e. where xi is the value of average total expenditures in the i-th statistically surveyed household, and n is the total number of statistically surveyed households) can be approximated by a three-parameter log-normal law with a parameter of the shift equal to 
and the parameter D(lnξ(k)) = σ2 independent of the number of stratum k and estimated by observations related to statistically surveyed strata of the population (see hypothesis H3).
Statement H4 is not a statistical ...
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