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Autor
Dar Showkat Ahmad (Department of Statistics, University of Kashmir, India), Hassan Anwar (University of Kashmir, India), Ahmad Peer Bilal (Department of Mathematical Sciences, Islamic University of Science & Technology, Awantipora, Pulwama, India), Wani Sameer Ahmad (Department of Statistics, University of Kashmir, India)
Tytuł
A New Count Data Model Applied in the Analysis of Vaccine Adverse Events and Insurance Claims
Źródło
Statistics in Transition, 2021, vol. 22, nr 3, s. 157-174, tab., wykr., bibliogr. 14 poz.
Słowa kluczowe
Rozkład Poissona, Metoda największej wiarygodności, Funkcje
Poisson distribution, Maximum likelihood estimation, Functions
Uwagi
summ.
Abstrakt
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)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Pełny tekst
Pokaż
Bibliografia
Pokaż
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  2. Hajebi,M., Rezaei, S. and Nadarajah, S., (2013). An exponential- negative binomial distribution. REVSTAT-Statistical journal, 11(2), pp. 191-210.
  3. Asgharzadeh, A., Bakouch,H.S., Nadarajah, S. and Esmaeili, L., (2014). A new family of compound lifetime distributions. Kybernetika, 50, pp. 142-169.
  4. 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.
  5. 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.
  6. Pinho, L. G. B., Cordeiro, G. M. and Nobre, J. S., (2015). On the Harris-G class of distributions: general results and application. Brazilian journal of probability and statistics, 29(4), pp. 813-832.
  7. Bourguignon, M., Silva, R. B. and Cordeiro, G. M., ( 2014). Anew class of fatigue life distributions. Journal of statistics Computation and Simulation,84 , pp. 2619-2635.
  8. Bordbar, F., Nematollahi, A. R., (2016). The modified exponential- geometric distribution. Communications in Statistics -Theory and Methods, 45(1), pp. 173- 181.
  9. Flores, D, J., Borges, P., Cancho, G. and Louzada, F., (2013). The complementary exponential power series distribution. Brazilian journal of probability and statistics, 27, pp. 565-584.
  10. Ghitany M. E., Alqallaf F., Al- Mutairi D. K. and Husain H. A.,(2011). A two parameter weighted Lindley distribution and its applications to survival data, Mathematics and Computers in Simulations, 81, pp. 1190-1201.
  11. 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.
  12. 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/.
  13. Klugman S., Panjer H., Willmot G., (2012). Loss Models. From Data to Decisions. John Wiley and Sons, New York.
  14. 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.
Cytowane przez
Pokaż
ISSN
1234-7655
Język
eng
URI / DOI
http://dx.doi.org/10.21307/stattrans-2021-032
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