Bostandzhiyan, V. A. Determination of Probability Density. Necessary Sample Size (Opredelenie plotnosti veroyatnosti. Neobkhodimyy ob"em vyborki), 1971. In Russian

Бостанджиян В. А. Определение плотности вероятности. Необходимый объем выборки / Отв. ред. Ю. Н. Тюрин; АН СССР, Ин-т химической физики, Филиал.
Москва : Наука, 1971.
159, [1] с. : табл. Мягкая издательская обложка, увеличенный формат. Тираж 500 экз.
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Bostandzhiyan, V. A. Determination of Probability Density. Necessary Sample Size (Opredelenie plotnosti veroyatnosti. Neobkhodimyy ob"em vyborki) / Ed. by Yu. N. Tyurin; USSR Academy of Sciences, Institute of Chemical Physics, Branch.
Moscow : Nauka, 1971.
159, [1] pp. : tables. Original publisher’s softcover, enlarged format. Print run: 500 copies.

This 1971 monograph, published by the "Nauka" publishing house under the auspices of the USSR Academy of Sciences, is a specialized work focusing on the practical and theoretical challenges of statistical data analysis in the physical sciences. Edited by the prominent statistician Yuri Tyurin, the book addresses a fundamental problem in experimental research: how to accurately reconstruct an unknown probability density function from a finite set of observations.
The author, V. A. Bostandzhiyan, working within the branch of the Institute of Chemical Physics, provides a rigorous mathematical framework for non-parametric density estimation. A significant portion of the work is dedicated to the critical question of "necessary sample size"—determining the minimum amount of experimental data required to achieve a predefined level of statistical confidence and precision. This was particularly relevant for the complex and often costly experiments in chemical physics and material science conducted during the Soviet era.
The text details various methods for smoothing experimental distributions and analyzes the errors associated with different approximation techniques. By providing practical tables and computational algorithms, Bostandzhiyan bridged the gap between abstract mathematical statistics and the daily needs of laboratory researchers. The book covers topics such as the convergence of estimates, the selection of optimal grouping intervals, and the evaluation of the reliability of the resulting density curves.
With an extremely small print run of only 500 copies, this edition is a significant bibliographical rarity. It was intended for a narrow circle of specialists in mathematical statistics, physicists, and chemists involved in high-precision data processing. Today, it remains a valuable document for the history of Soviet applied mathematics and a testament to the rigorous statistical standards maintained in the Academy’s research institutes.