ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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The construction of a preference field on a trade statistics

V.K. Gorbunov1, A.G. Ledovskikh2

AnnotationAn inverse problem for the generalized model of the consumer demand, consisting in construction of a vector field of consumer preferences on trade statistics is considered. The least squares algorithm of an estimation of parameters of the field is proposed. Node values of the field are obtained from the conditions of the monotony generating generalized system of inequalities.
KeywordsMarket demand, preference field, parameters estimation, generalized Afriat inequalities system.

1Chief of Mathematical Methods and Information Technology Chair, Ulyanovsk State University, Ulyanovsk; vkgorbunov@mail.ru.

2Postgraduate student of Mathematical Methods and Information Technology Chair, Ulyanovsk State University, Ulyanovsk; ledovskikh_ag@mail.ru.

Citation: V.K. Gorbunov, A.G. Ledovskikh, "[The construction of a preference field on a trade statistics]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 10–20 (In Russian)