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In the mixture k ≥ 2 of logarithmic-normal distributions, with density function (1), the parameters μ, ..., μ satisfying conditions (2) and the parameters p, ..., p satisfying conditions (3) are unknown. Using moments of orders r = -k, -k+1, ..., 0, 1, ..., k-1 we get a system of 2k equations (8), an equivalent of matrix equation (10). The equation (13) has exactly one solution with regard to A. If in the equation (13) we substitute the unbiased and consistent estimators D' for the coefficients...
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