APPLICATION OF THE PEARSON AND SHAPIRO — WILK TESTS TO ASSESS THE DISTRIBUTION OF STOCK RETURNS OF LARGE OIL AND GAS ISSUERS
Abstract and keywords
Abstract:
This article presents the results of applying statistical tests to verify the distribution of market returns on common stocks of four large Russian blue-chip companies. The conformity of the market return distribution to the normal law was assessed using the Pearson and Shapiro — Wilk tests. Returns over a monthly interval are characterized by a normal distribution. Among the statistical indicators of the companies studied, the data from PAO Tatneft proved to be the most significant.

Keywords:
normal distribution, financial risks, market return, Shapiro — Wilk test, Pearson test, null hypothesis, significance level, deviation
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References

1. Lemeshko B.Yu. Kriterii proverki otkloneniya raspredeleniya ot normal'nogo zakona. Rukovodstvo po primeneniyu [Tekst] / B.Yu. Lemeshko. — Novosibirsk: Izd-vo NGTU, 2014. — 192 s. — URL: https://ami.nstu.ru/~headrd/seminar/publik_html/guid_normal_tets.pdf EDN: https://elibrary.ru/XIXHTG

2. Lemeshko B.Yu. O normal'nosti pogreshnostey izmereniy v klassicheskih eksperimentah i moschnosti kriteriev, primenyaemyh dlya proverki otkloneniya ot normal'nogo zakona [Tekst] / B.Yu. Lemeshko, A.P. Rogozhnikov // Metrologiya. — 2012. — № 5. — S. 3–26. URL: https://elibrary.ru/item.asp?id=17870921 EDN: https://elibrary.ru/PBBUTD

3. Nacional'nyy standart Rossiyskoy Federacii GOST R ISO 5479-2002 «Statisticheskie metody. Proverka otkloneniya raspredeleniya veroyatnostey ot normal'nogo raspredeleniya» [Elektronnyy resurs]. — URL: https://docs.cntd.ru/document/1200029041

4. Sorokin I.I. Formirovanie aktivov s minimal'nym riskom na osnove mnogomernogo negaussovskogo podhoda Tekst] / I.I. Sorokin // Ekonomika stroitel'stva. — 2025. — № 6. — S. 289–291. — URL: https://elibrary.ru/item.asp?id=82665463 EDN: https://elibrary.ru/FEIADM

5. Bibik Yu.V. Prognozirovanie na fondovyh rynkah s ispol'zovaniem formalizma statisticheskoy mehaniki [Tekst] / Yu.V. Bibik // Informatika i avtomatizaciya. 2023. — T. 22. — № 6. — S. 1499–1541. — URL: https:// elibrary.ru/item.asp?id=54789321 DOI: https://doi.org/10.15622/ia.22.6.9; EDN: https://elibrary.ru/DPNKYM

6. Sayt Moskovskoy birzhi [Elektronnyy resurs]. — URL: https://www.moex.com

7. Sayt investicionnogo holdinga «Finam» [Elektronnyy resurs]. — URL: https://www.finam.ru

8. Marshalov D.P. Kalendarnye anomalii na rossiyskom energeticheskom fondovom rynke: tendencii poslednego goda [Tekst] / D.P. Marshalov, H.Ch. Hoang, T.M. Sebbaggala [i dr.] // Myagkie izmereniya i vychisleniya. 2024. — T. 79. — № 6. — S. 104–113. — URL: https://elibrary.ru/item.asp?id=67968758 DOI: https://doi.org/10.36871/2618-9976.2024.06.0010; EDN: https://elibrary.ru/FFLBBZ

9. Averina T.N. Harakter raspredeleniya rynochnoy dohodnosti obyknovennyh akciy PAO «Tatneft'» [Tekst] / T.N. Averina, N.N. Levkina // Sbornik statey Mezhdunarodnoy nauchno-prakticheskoy konferencii «Nauchno-tehnicheskiy progress: informaciya, tehnologii, mehanizm». — Ufa: Aeterna, 2025. — S. 74–76. — URL: https://elibrary.ru/item.asp?id=88736544 EDN: https://elibrary.ru/SAAJVY

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