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Reyad, Hesham; Jamal, Farrukh; Othman, Soha; Hamedani, G. G.

The transmuted Gompertz-G family of distributions: properties and applications. (English) Zbl 1437.62075

Tbil. Math. J. 11, No. 3, 47-67 (2018).
Summary: We introduce and study a new class of continuous distributions called the transmuted Gompertz-G family which extends the Gompertz class proposed by M. Alizadeh et al. [J. Stat. Theory Pract. 11, No. 1, 179–207 (2017; Zbl 1426.62057)]. Explicit expressions for the ordinary and incomplete moments, generating function, probability weighted moment, Lorenz and Bonferroni curves, order statistics, Rényi and Shanon entropies, stress strength model moment of residual and reversed residual life and characterizations for the new family are investigated. We discuss the maximum likelihood estimates for the model parameters. The performance of the new family is assessed by means of two applications.

Cited in 2 Documents

MSC:

62E10 Characterization and structure theory of statistical distributions
60E05 Probability distributions: general theory
62N05 Reliability and life testing
62G30 Order statistics; empirical distribution functions
62E15 Exact distribution theory in statistics

Keywords:

Rényi and Shanon entropies; Gompertz-G family; maximum likelihood estimates; order statistic; stress strength model; transmuted-G family

Citations:

Zbl 1426.62057
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Full Text: DOI Euclid

References:

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