[Signed] Shervashidze, T. Multidimensional Local Limit Theorems for Densities (Mnogomernye lokal'nye predel'nye teoremy dlya plotnostey). 1972. In Russian.

Шервашидзе, Т. Л. Многомерные локальные предельные теоремы для плотностей : автореферат диссертации на соискание учёной степени кандидата физико-математических наук : 01.005 - теория вероятностей и математическая статистика / Академия наук СССР, ордена Ленина Математический институт имени В. А. Стеклова ; научный руководитель член-корреспондент АН СССР Ю. В. Прохоров ; официальные оппоненты академик АН УзССР С. Х. Сираждинов, доктор физико-математических наук Л. Н. Большев.
Москва, 1972. 11 страниц. На правах рукописи. Дублировано ротапринтом Института прикладной математики Тбилисского университета, тираж 180 экземпляров.
Мягкая обложка. Обычный формат. Первое издание.
На форзаце - автограф автора, дата 29.07.1972.
Обложка хорошая: пятна в нижней части передней стороны. Блок хороший: текст полный, дата защиты и дата рассылки в тексте оставлены незаполненными (особенность ранней рассылки экземпляра).
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Shervashidze, T. L. Multidimensional Local Limit Theorems for Densities : Author's abstract of a dissertation submitted for the degree of Candidate of Physical and Mathematical Sciences, speciality 01.005 - probability theory and mathematical statistics / USSR Academy of Sciences, Order of Lenin Steklov Mathematical Institute ; academic supervisor Yu. V. Prokhorov, Corresponding Member of the USSR Academy of Sciences ; official opponents S. Kh. Sirazhdinov, Academician of the Uzbek SSR Academy of Sciences, and L. N. Bolshev, Doctor of Physical and Mathematical Sciences.
Moscow, 1972. 11 pp. Issued as manuscript. Duplicated on the rotaprint of the Institute of Applied Mathematics, Tbilisi State University, print run of 180 copies.
Paperback. Standard format. First edition.
Signed by the author on the front flyleaf, dated 29 July 1972.
Wrapper good: staining to the lower part of the front cover. Text block good: text complete; the defence date and mailing date are left blank in the text, a feature of this early circulation copy.

A dissertation abstract from the Steklov Mathematical Institute documenting an early result in multidimensional local limit theory, supervised by Yuri Vasilyevich Prokhorov, one of the most influential figures in twentieth-century Soviet probability theory and later director of the Steklov Institute and academician. The dissertation establishes sufficient conditions under which weak convergence of the distribution of a normalized sum of independent random vectors to the normal distribution implies the stronger convergence of the corresponding densities, furnishing multidimensional local limit theorems together with explicit rate-of-convergence estimates whose constants reflect both the dimensionality and specific characteristics of the underlying sequence of random vectors. The official opponents were themselves prominent figures: Salahitdin Sirazhdinov, Academician of the Uzbek Academy of Sciences and a leading Central Asian probabilist, and Leonid Bolshev, a noted specialist in mathematical statistics at the Steklov Institute. As this copy's blank defence-date field indicates, it circulated in the weeks immediately following typesetting, before the defence date was finalized, and was duplicated in a small run of 180 free copies on the rotaprint of Tbilisi State University's Institute of Applied Mathematics for distribution among the author's Georgian colleagues - consistent with the presentation inscription in Georgian, dated 29 July 1972, on the front flyleaf. Of interest to collectors of Soviet probability theory and to those tracing the Tbilisi circle of Prokhorov's students.