On power generalized Akash distribution with properties and applications
Samuel Aderoju1, Isaac Adeniyi2.
A new lifetime model known as power generalized Akash distribution (PGAD), which extends
generalized Akash (GA) distribution has been proposed in this paper. The PGAD was inspired by the
wide use of the Akash and GA distributions in various applied areas. Some structural characteristics of
the new model were studied such as moments, reliability, hazard rate function, survival function, Renyi
entropy measure and order statistics. The parameters of the model were obtained via the maximum
likelihood estimation method. The flexibility and importance of the new distribution has been illustrated
by its applications to two real datasets. Using BIC, AIC and -2Loglikelihood, it is obvious that the
PGAD is more effective than Topp-Leone Lomax (TLLo), Generalized Akash (GA), Power Pranav (PP)
and Power Transformed Power Inverse Lindley (APTPIL) distributions in modelling real lifetime data.
Affiliation:
- Kwara State University, Malete, Nigeria, Nigeria
- Federal University Lokoja, Lokoja, Kogi State, Nigeria
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