Resumo

NAVEED SHAHZAD, MIRZA; MEROVCI, FATON  e  ASGHAR, ZAHID. Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution. Rev.Colomb.Estad. [online]. 2017, vol.40, n.1, pp.1-27. ISSN 0120-1751.  https://doi.org/10.15446/rce.v40n1.50085.

The Singh-Maddala distribution is very popular to analyze the data on income, expenditure, actuarial, environmental, and reliability related studies. To enhance its scope and application, we propose four parameters transmuted Singh-Maddala distribution, in this study. The proposed distribution is relatively more flexible than the parent distribution to model a variety of data sets. Its basic statistical properties, reliability function, and behaviors of the hazard function are derived. The hazard function showed the decreasing and an upside-down bathtub shape that is required in various survival analysis. The order statistics and generalized TL-moments with their special cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore, the maximum likelihood estimation is used to estimate the unknown parameters of the transmuted Singh-Maddala distribution. The real data sets are considered to illustrate the utility and potential of the proposed model. The results indicate that the transmuted Singh-Maddala distribution models the datasets better than its parent distribution.

Palavras-chave : Moments; Parameter Estimation; Transmuted Singh-Maddala Distribution; TL-Moments; Upsidedown Bathtub Shaped Hazard Rate.

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