PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2021 | 22 | nr 3 | 157--174
Tytuł artykułu

A New Count Data Model Applied in the Analysis of Vaccine Adverse Events and Insurance Claims

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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)
Rocznik
Tom
22
Numer
Strony
157--174
Opis fizyczny
Twórcy
  • Department of Statistics, University of Kashmir, India
autor
  • University of Kashmir, India
  • Department of Mathematical Sciences, Islamic University of Science & Technology, Awantipora, Pulwama, India
  • Department of Statistics, University of Kashmir, India
Bibliografia
  • Berreto-Souza, W., Bakouch, H., (2013). A new lifetime model with decreasing failure rate. A journal of theoretical and Applied Statistics, 47(2), pp. 465-476 .
  • Hajebi,M., Rezaei, S. and Nadarajah, S., (2013). An exponential- negative binomial distribution. REVSTAT-Statistical journal, 11(2), pp. 191-210.
  • Asgharzadeh, A., Bakouch,H.S., Nadarajah, S. and Esmaeili, L., (2014). A new family of compound lifetime distributions. Kybernetika, 50, pp. 142-169.
  • 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.
  • 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.
  • 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.
  • Bordbar, F., Nematollahi, A. R., (2016). The modified exponential- geometric distribution. Communications in Statistics -Theory and Methods, 45(1), pp. 173- 181.
  • 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.
  • 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.
  • 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
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171661024

Zgłoszenie zostało wysłane

Zgłoszenie zostało wysłane

Musisz być zalogowany aby pisać komentarze.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.