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2024 | OriginalPaper | Chapter

Some Modifications of the Kies Distribution. Applications

Authors : Nikolay Kyurkchiev, Tsvetelin Zaevski, Anton Iliev, Asen Rahnev

Published in: New Trends in the Applications of Differential Equations in Sciences

Publisher: Springer Nature Switzerland

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Abstract

The Kies model can be regarded as an efficient model in terms of goodness–of–fit in the field of Software Reliability Analysis. In the books. Pavlov et al., (Some software reliability models: Approximation and modeling aspects. LAP LAMBERT Academic Publishing, Chisinau, 2018) [20], Pavlov et al., (Nontrivial Models in Debugging Theory (Part 2). LAP LAMBERT Academic Publishing, Chisinau, 2018) [21], we explore some models which correspond to debugging theory. In this article we consider the three–parameter Kies model modified as “deterministic” model. We give how a modification of the model with “polynomial variable transfer” can be applied. The usage of such new model for approximation of key data from many scientific fields which concern growth theory. CAS Mathematica gives us possibility for successful implementation of our results.

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Kies, J. A.: The strength of glass performance. Naval Research Lab Report, No. 5093. Washington, D. C., USA, (1958).

Nesreen, M. A., Husam, A. B., Mohammad, Z. R.: Record data from Kies distribution and related statistical inferences. Statistics in Transition new series, 22, No. 4 (2021), pp. 153–170.

Kumar, C. S., Dharmaja, S. H. S.: On reduced Kies distribution. Collection of Recent Statistical Methods and Applications, Department of Statistics, University of Kerala Publishers, Trivandrum, (2013), pp. 111–123.

Kumar, C. S., Dharmaja, S. H. S.: On some properties of Kies distribution. Metron, 72, No. 1 (2014), pp. 97–122.

Kumar, C. S., Dharmaja, S. H. S.: On modified Kies distribution and its applications. Journal of Statistical Research, 51, No. 1 (2017a), pp. 41–60.

Kumar, C. S., Dharmaja, S. H. S.: The exponentiated reduced Kies distribution: properties and applications. Communications in Statistics-Theory and Methods, 46, No. 17 (2017b), pp. 8778–8790.

Al-Babtain, A. A., Shakhatreh, M. K., Nassar, M., Afify, A. Z.: A New Modified Kies Family: Properties, Estimation Under Complete and Type-II Censored Samples, and Engineering Applications. Mathematics, 8, (2020), 1345.

Afify, A. Z., Gemeay, A. M., Alfaer, N. M., Cordeiro, G. M., Hafez, E. H.: Power-Modified Kies-Exponential Distribution: Properties, Classical and Bayesian Inference with an Application to Engineering Data. Entropy, 24, (2022), 883.

Zaevski, T., Kyurkchiev, N.: Some notes on the four–parameters Kies distribution. Compt. rend. Acad. bulg. Sci., 75, No. 10 (2022), pp. 1403–1409.

10.

Kyurkchiev, N., Zaevski, T., Iliev, A., Rahnev, A.: A modified three–parameter Kies cumulative distribution function in the light of reaction network analysis. International Journal of Differential Equations and Applications, 21, No. 2 (2022), pp. 1–17.

11.

Zaevski, T., Kyurkchiev, N.: On some composite Kies families: distributional properties and saturation in Hausdorff sense. Modern Stochastics: Theory and Applications, 10, No. 3 (2023), pp. 287–312.

12.

Hemeda, S., Abdallah, A.: Sin h inverted exponential distribution: simulation and application to Neck cancer disease. Int. J. of Stat. and Prob., 9, No. 5 (2022), pp. 11–22.

13.

https://www.who.int/csr/disease/swineflu/history_map_/InfluenzaAH1N1maps.html

14.

Okamura, H., Dohi, T.: On Kolmogorov–Smirnov test for software reliability models with grouped data. Proc. IEEE 19th International Conference on Software Quality, Reliability and Security, (2019), pp. 77–82.

15.

Musa, J.: Software reliability data, Data and Analysis Center for Software. Rome Air Development Center, (1979).

16.

Yamada, S., Ohba, M., Osaki, S.: S–shaped software reliability growth models and their applications. IEEE Trans. Reliab., 33, No. 4 (1984), pp. 289–292.

17.

Yadav, A., Altun, E., Yousof, H.: Burr–Hatke–exponential distribution: a decreasing failure rate model, statistical inference and applications. Annals of Data Science, (2019), pp. 1–20.

18.

Hee–Cheul, K.: A study on comparative evaluation of software reliability model applying modified exponential distribution. Int. J. of Eng. Res. and Technology, 13, No. 5 (2020), pp. 867–872.

19.

Pham, H.: System software reliability. Springer, London, (2006).

20.

Pavlov, N., Iliev, A., Rahnev, A., Kyurkchiev, N.: Some software reliability models: Approximation and modeling aspects. LAP LAMBERT Academic Publishing, Chisinau, (2018).

21.

Pavlov, N., Iliev, A., Rahnev, A., Kyurkchiev, N.: Nontrivial Models in Debugging Theory (Part 2). LAP LAMBERT Academic Publishing, Chisinau, (2018).

22.

Pavlov, N., Iliev, A., Rahnev, A., Kyurkchiev, N.: A power yet under-researched software reliability model by Li and Pham. Communications in Applied Analysis, 23, No. 3 (2019), pp. 453–464.

23.

Pavlov, N., Spasov, G., Iliev, A., Rahnev, A., Kyurkchiev, N.: A Note on the Song-Chang-Pham’s Software Reliability Model. Some Applications. I. Neural, Parallel, and Scientific Computations, 27, No. 2 (2019), pp. 115–129.

24.

Kyurkchiev, N., Kyurkchiev, V., Iliev, A., Rahnev, A.: Some nonstandard differential models with applications to the population dynamics and computer viruses propagation. Dynamic Systems and Applications, 28, No. 3 (2019), pp. 757–788.

25.

Kyurkchiev, V., Iliev, A., Rahnev, A., Kyurkchiev, N.: On a Piecewise Smooth Gompertz Growth Function. Applications. NTADES 2022, Springer Proceedings in Mathematics & Statistics, (2023), pp. 461–472.

26.

Kyurkchiev, N.: A note on the Burr-Hatke exponential model. Some applications. Compt. rend. Acad. bulg. Sci., 74, No. 4 (2021), pp. 488–495.

Title: Some Modifications of the Kies Distribution. Applications
Authors: Nikolay Kyurkchiev
Tsvetelin Zaevski
Anton Iliev
Asen Rahnev
Publisher: Springer Nature Switzerland
Book: New Trends in the Applications of Differential Equations in Sciences
Print ISBN: 978-3-031-53211-5

Electronic ISBN: 978-3-031-53212-2

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-53212-2_31

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