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Nikolai Smirnov (mathematician)

Nikolai Smirnov (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Nikolai Smirnov (mathematician) rather than just read about it. In short: Nikolai Vasilyevich Smirnov (Russian: Николай Васильевич Смирнов; 17 October 1900 – 2 June 1966) was a Soviet Russian mathematician noted for his work in various fields including probability theory and statistics. Smirnov's principal works in mathematical statistics and probability theory were devoted to the investigation of limit distributions by means of the asymptotic behaviour of multiple integrals as the multip…

Nikolai Smirnov (mathematician) — main illustration
Nikolai Smirnov (mathematician) — illustration

Key takeaways

  • Nikolai Smirnov (mathematician) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Nikolai Smirnov (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Nikolai Smirnov (mathematician) from memory before moving on to harder problems.

Reference excerpt

Nikolai Vasilyevich Smirnov (Russian: Николай Васильевич Смирнов; 17 October 1900 – 2 June 1966) was a Soviet Russian mathematician noted for his work in various fields including probability theory and statistics. Smirnov's principal works in mathematical statistics and probability theory were devoted to the investigation of limit distributions by means of the asymptotic behaviour of multiple integrals as the multiplicity is increased with limit. He was one of the creators of the nonparametric methods in mathematical statistics and of the theory of limit distributions of order statistics.

Biography Smirnov was born October 17, 1900, in Moscow into the family of a church clerk who was also employed as a clerk in the office of the Bolshoi Theater. He completed his gymnasium education during the First World War, during which he served in various medical units of the military. After the October Revolution Smirnov joined the ranks of the Red Army. During this time he took an interest in philosophy and philology, which shaped his later interests in mathematics. It is suggested that Smirnov was influenced by the works of Velimir Khlebnikov, who had emphasized that the most fruitful results in arts and humanities could be achieved only after thoroughly understanding the natural sciences. According to the testimony of a friend, the artist S. P. Isakov, Smirnov, following this advice, entered Moscow State University after his discharge from the army in 1921 and focused his attention to the study of mathematics. Smirnov graduated from the Faculty of Physics and Mathematics at Moscow State University, and, beginning in 1926, taught mathematics for many years at Timiryazev Agricultural Academy, Moscow City Pedagogical Institute, and Moscow State University. During this time, Smirnov narrowed his research foci to the fields of probability theory and mathematical statistics. Smirnov's initial period of research ended in 1938 with the defense of his doctoral dissertation "On approximation of the distribution laws of random variables" (Russian: Об аппроксимации законов распределения случайных величин), which served as the foundation for his work on nonparametric tests for which he was later renowned. After his dissertation, Smirnov took up research with the Steklov Institute of Mathematics in 1938, where he worked for the remainder of his life. While at the institute he obtained new fundamental results in nonparametric statistics, and also studied the limit distributions of nonparametric criteria, the theory of large deviations, and the limit distributions for terms of variational series. For these series of works Smirnov was awarded the Stalin Prize in 1951. In 1957 he was made the Head of Mathematical Statistics at the Steklov Institute. In 1960 Smirnov was elected to the Academy of Sciences of the Soviet Union as a corresponding member, in recognition for his contributions to the advancement of mathematical statistics. Smirnov died on June 2, 1966. His sudden, unexpected death left him unable to complete his research in mathematical genetics, to which he had returned in the final years of his life with the intention to publish several works.

Contributions to statistics Together with Andrey Kolmogorov, Smirnov developed the Kolmogorov–Smirnov test and participated in the creation of the Cramér–von Mises–Smirnov criterion. Smirnov made great efforts to popularize and widely disseminate methods of mathematical statistics in the natural sciences and engineering. In the 1950s, he was one of the first Soviet mathematicians to compile modern manuals on the use of statistics in engineering. His textbooks and manuals on the practical application of probabilistic and statistical methods were used in the USSR and abroad. Together with L. N. Bol'shev, Smirnov published a series of tables of various special functions most frequently used in probability theory and mathematical statistics, continuing the work started in the USSR by his colleague Eugen Slutsky, making important contributions to modern computational mathematics. In 1970, under the editorship of L. N. Bol'shev, selected works of Smirnov were published.

Honours Smirnov received the Stalin Prize in 1951, and in 1953 he was awarded the Order of the Red Banner of Labour.

Notable works N. V. Smirnov and I. V. Dunin-Barkovskii, "Short Course of Mathematical Statistics for Technical Applications", Moscow, 1959. N. V. Smirnov, "Limit distributions for the terms of a variational series", Trudy Mat. Inst. Steklov., 25, Acad. Sci. USSR, Moscow–Leningrad, 1949. N. V. Smirnov, "Tables of the normal integrals of probabilities, normal densities and normalized derivatives", USSR Academy of Sciences Publishing House, Moscow, 1960. N. V. Smirnov and L.N. Bol'shev, "Tables of Mathematical Statistics", Nauka, Moscow, 1965 N. V. Smirnov, "Probability and Mathematical Statistics: Selected Works", Nauka, Moscow, 1970.

References

Illustrations

Nikolai Smirnov (mathematician) illustration

Worked examples

Example 1 — a first encounter with Nikolai Smirnov (mathematician)

Start with the simplest possible case. Write down what Nikolai Smirnov (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Nikolai Smirnov (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Nikolai Smirnov (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Nikolai Smirnov (mathematician)

In research
Nikolai Smirnov (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Nikolai Smirnov (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Nikolai Smirnov (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1900 births, 1966 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Nikolai Smirnov (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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  2. Close the page and write down what Nikolai Smirnov (mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
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Frequently asked questions

What is Nikolai Smirnov (mathematician) in simple terms?

Nikolai Vasilyevich Smirnov (Russian: Николай Васильевич Смирнов; 17 October 1900 – 2 June 1966) was a Soviet Russian mathematician noted for his work in various fields including probability theory and statistics. Smirnov's principal works in mathematical statistics and probability theory were devo…

Why does Nikolai Smirnov (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Nikolai Smirnov (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Nikolai Smirnov (mathematician).

Tags

  • 1900 births
  • 1966 deaths
  • 20th-century Russian mathematicians
  • 20th-century statisticians
  • Academic staff of the Steklov Institute of Mathematics
  • Corresponding Members of the USSR Academy of Sciences
  • Mathematical statisticians
  • Mathematicians from Moscow
  • Probability theorists
  • Recipients of the Order of the Red Banner of Labour
  • Recipients of the Stalin Prize
  • Russian military personnel of World War I

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