Scientific Bulletin. Physical and Mathematical Research


New control charts and their assessments determining the normality of the quality criterion are carried out in the article. Using these charts, the degree of stability of the production process is studied using one example.

In practice, the stability of the process under study is important. It depends on ordinary (random) and special (nonrandom) reasons. These reasons strongly affect the distribution of the process under study. Distributions may vary in position, spread, and shape. They can be checked using asymmetry and excess coefficients. If only the usual causes of variations occur, then the results of the process form a distribution that is stable over time and predictable. If there are special reasons for the variations, then the result of the process is not stable in time.

If it is established that the process is stable and able to meet the requirements at the moment, additional studies should be performed. Moreover, if a sufficient amount of data is collected, then they are built on a control map, and if no specific reasons are found, then long-term reproducibility factors can be calculated.

The article contains new control charts and their assessments determining the stability of the process under study. Using these cards on one example, the degree of stability of the production process is investigated.

First Page


Last Page



1. Smirnov, N.V., Dunin-Barkovskij, I.V. (1969). Kurs teorii veroyatnostej i matematicheskoj statistiki, dlya tekhnicheskih prilozhenij [Course of probability theory and mathematical statistics, for technical applications]. Moscow: Nauka.

2. Bolshev, L.N., Smirnov, N.V. (1983). Tablicy matematicheskoj statistiki [Mathematical statistics tables]. Moscow: Nauka.

3. Mittag, J., Rinne, H. (1995). Staticheskie metody obespecheniya kachestva [Statistical methods of quality assurance]. Moscow: Mashinostrojenie

4. Adler, Yu.P., Maksimova, O.V., Shper V.A. (2011). Kontrolnye karty Shuharta v Rossii i za rubezhom: kratkij obzor sovremennogo sostoyaniya (statisticheskie aspekty) [Shekhart control charts in Russia and abroad a brief overview of the current state (statistical aspects)]. Standarty i kachestvo. 8. Pp. 1-40.

5. Shtorm, R. (1970). Teoriya veroyatnosti. Matematicheskaya statistika. Statisticheskij kontrol kachestva [Wahrscheinlichkeitsrechnung, Mathematische Statistik und Statistische Qualitätskontrolle]. Translation from German. Moscow: Mir.

6. Axmedov, A.S. (2005). Jarayonlarni statistik boshqarish [Statistical management of processes]. Andijon.

7. Axmedov, A.S., Zahidov, D., Egamberdiyeva, B. Ablazova, K.S. (2014). O funkciyah moshchnosti kontrolnyh karta simmetrii i ekscessa normalnogo processa [About the power functions of the asymmetry control charts and the excess of the normal process]. Zhurnal nauchnyh publikacij aspirantov i doktorantov. 3. Pp. 259-260.

8. Axmedov, A.S., Ablazova, K.S., Abdullayev, A., Mamatohunova, Yu. (2015). Jarayonlarni normallikka tekshirishning nazorat kartalar usuli. [Control chart method of checking processeses to normality]. Ilmiy xabarnoma. 5 (Special issue). Pp. 5-9.

9. Ablazova, K.S. (2019) Some control charts based on the consent criteria. Theoretical & Applied Science. 11 (79). Pp. 23-28.

10. Axmedov, A.S., Ablazova, K.S. (2019). O statisticheskom upravlenii normalnogo processa na promezhutke vremeni [On the statistical control of a normal process over a period of time]. “Boshqaruv, Optimizasiya va dinamik sistemalar – 2019” [‘Management, Optimization and dynamic Systems – 2019’]. Republican scientific Conference. October 17-19. Andijon. Pp. 136-137.

11. Akhmedov, S.A Ablazova, K.S. (2019). Nekotorye innovacionnye statisticheskie instrumenty pri issledovanii ustojchivosti proizvodstvennogo processa [Some innovative statistical tools in the study of the stability of the production process]. “Sovremennye problemy teorii veroyatnostej i matematicheskoj statistiki” [‘Modern problems of probability theory and mathematical statistics’]. Republican scientific Conference. April 30 - May 1. Pp. 11-14.

Included in

Mathematics Commons



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.