Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution

Type Journal Article - Revista Colombiana de Estadistica
Title Transmuted Singh-Maddala Distribution: A new Flexible and Upside-Down Bathtub Shaped Hazard Function Distribution
Author(s)
Volume 40
Issue 1
Publication (Day/Month/Year) 2017
Page numbers 1-27
URL http://www.redalyc.org/pdf/899/89949526002.pdf
Abstract
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.

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