An alternative one parameter triangular distribution
Keywords:
Triangular model, parsimony, probability density function, moments.
Abstract
Triangular distributions are well known but not so widely studied in the specialized literature. Despite of having few applications, triangular distributions are useful in finances, econometrics, risk analysis and hydraulics. However, triangular distributions are usually conceived using two or more parameters, what gives them flexibility but turns them less parsimonious, mainly for small samples. For that reason, this paper brings a new alternative of parsimonious triangular distribution.
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References
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Dorp, R. V. & Kotz, S. (2002), `A novel extension of the triangular distribution and its parameter estimation', Journal of the Royal Statistical Society D 51, 63-79.
Dutang, C. (2013), `A guide on probability distributions'. Available at:
http://dutangc.free.fr/pub/prob/probdistr-main.pdf.
Ferreira, R. J. (Acess on: 15 Sep 2010.), `Demonstração dos fluxos de caixa.'. Available at: www.vemconcursos.com.
Figueiredo, A. M., dos Santos, P. A., Santolin, R. & Reis, B. S. (2006), `Integração na criação de frangos de corte na microrregião de viçosa-mg: viabilidade econômica e análise de risco', Revista de Economia e Sociologia Rural 44, 713-730.
Hesse, R. (2000), `Triangle distribution: Mathematica link for excel', Decision Line May, 12-14.
Johnson, D. (1997), `The triangular distribution as a proxy for the beta distribution in risk analysis', Journal of the Royal Statistical Society D 46, 387-398.
Johnson, N. L. & Kotz, S. (1999), `Non-smooth sailing or triangular distributions revisited after some 50 years', Journal of the Royal Statistical Society D 48, 179-187.
Menescal, R. A. & Vieira, V. P. P. B. (1999), Manutenção de sangradouro de açude e risco de ineficiência hidráulica, in `XXIII Seminário Nacional de Grandes Barragens'.
Ross, S. M. (2010), A first course in probability. 8th ed., New Jersey: Pearson Prentice Hall. 530 p.
Published
2019-04-23
How to Cite
Ferreira, E., Bastos, R., & Rocha, M. (2019). An alternative one parameter triangular distribution. Journal of Progressive Research in Mathematics, 15(1), 2569-2577. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1699
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