Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
The article presents a new probability distribution, created by compounding the Poisson distribution with the weighted exponential distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. The paper describes the proposed model's parameter estimation, performed by means of the maximum likelihood method. Finally, real data sets are analyzed to verify the suitability of the proposed distribution in modeling count data sets representing vaccine adverse events and insurance claims.(original abstract)
Twórcy
autor
- Department of Statistics, University of Kashmir, India
autor
- University of Kashmir, India
autor
- Department of Mathematical Sciences, Islamic University of Science & Technology, Awantipora, Pulwama, India
autor
- Department of Statistics, University of Kashmir, India
Bibliografia
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- Mohmoudi,E. Jafari, A. A., (2014). The compound class of linear failure rate power series distributions: model, properties and applications. Communications in statistics-simulation and computation.
- Silva, R. B., Cordeiro, G. M., (2015). The Burr XII power series distribution: A new compounding family. The Brazilian journal of probability and statistics, 29, pp. 565-589.
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- Bordbar, F., Nematollahi, A. R., (2016). The modified exponential- geometric distribution. Communications in Statistics -Theory and Methods, 45(1), pp. 173- 181.
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- Christophe Chesneau, Hassan S. Bakouch, Tassaddaq Hussain and Bilal A. Para, (2020). The cosine geometric distribution with count data modeling, Journal of Applied Statistics, DOI: 10.1080/02664763.2019.1711364.
- R Core Team, (2019). R version 3.5.3: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/.
- Klugman S., Panjer H., Willmot G., (2012). Loss Models. From Data to Decisions. John Wiley and Sons, New York.
- C. E. Rose, S. W.Martin, K. A. Wannemuehler, and B. D. Plikaytis, (2006). On the use of zero infilated and hurdle models for modeling vaccine adverse events count data, Journal of Biopharmaceutical Statistics, Vol. 16, pp. 463-481.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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