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# Power Hamza distribution and its application to model survival time.

AUTHOR(S):

JOURNAL: Journal of the Nigerian Statistical Association, Vol 34,2022.
YEAR: 2022

## ABSTRACT

In this paper, a new lifetime model for survival time analysis has been introduced, which is called power Hamza distribution (PHD) that generalizes the Hamza distribution. Some properties of the new distribution, including the probability density function, cumulative distribution function, moments, failure rate function or hazard function and moments were presented. The model provides more flexibility than the Lindley and Hamza distributions in terms of the shape of the density and hazard rate functions. Estimate of the model parameters were obtained via the method of maximum likelihood and applications of the model were made to two real data sets. By using some criteria like Akaike Information criteria (AIC) and Bayesian Information Criteria (BIC) and other statistic, the PHD model provides better fits than other classical lifetime models such as Hamza, exponential and Lindley distributions.

## BIBLIOGRAPHY

Aderoju, S.A. (2021). Samade probability distribution: its properties and application to real
lifetime data, Asian Journal of Probability and Statistics (in press).
Aderoju, S.A. and Adeniyi, I. (2021). On power generalized Akash distribution with
properties and applications, Journal of Statistical Modelling and Analytics (in press).
Aderoju, S.A. (2020). a new generalized Poisson-Sujatha distribution and its applications, Applied
Mathematical Sciences,14(5), 229–234, DOI: https://doi.org/10.12988/ams.2020.914185.
Aderoju, S.A., Jolayemi, E.T. and Ibrahim A.O. (2017). A comparative study on zero-truncated
generalized Poisson-Lindley and zero-truncated Poisson-Lindley distributions, International
Journal of Mathematical Archive, 8(3), 92 – 98.
Aijaz, A., Jallal, M., Qurat, S., Ain, U.I. and Tripath, R. (2020). The Hamza distribution with
statistical properties and applications, Asian Journal of Probability and Statistics,8(1),28 –
42.DOI: 10.9734/AJPAS/2020/v8i130196.
Alkami, S. (2015). Power quasi Lindley distribution, properties and application, Asian Journal
of Mathematics and Computer Research,10(2), 179 – 195.
Asiribo, O.E., Mabur, T.M. and Soyinka, A.T. (2019). On the Lomax-Kumaraswamy distribution,
Benin Journal of Statistics, 2, 107–120.
Bjerkedal, T. (1960). Acquisition of resistance in guinea pigs infected with different doses of
virulent tubercle bacilli, American Journal of Epidemiology, 72(1), 130 – 148.
Ghitany, M.E., Al-Mutairi, D.K., Balakrishnan, N. and Al-Enezi, L.J. (2013). Power Lindley
distribution and associated inference, Computational Statistics Data Analysis, 64, 20–33.
Ghitany, M.E., Atieh, B. and Nadarajah, S. (2008). Lindley distribution and its applications,
Mathematics and Computer in Simulation, 78(4), 493– 506.
Jamal, F., Reyad, H.M., Nasir, M.A., Chesneau, C., Shah, M.A.A. and Ahmed, S.O. (2019). ToppLeone Weibull-Lomax distribution: properties, regression model and applications,
HAL archives-ouvertes.fr; hal-02270561. https://hal.archives-ouvertes.fr/hal-02270561.
Lindley, D.V. (1958). Fiducial distributions and Bayes’ theorem, Journal of the Royal Statistical
Society, Series B. 20(1), 102–107.
Nadarajah, S, Bakouch, S.H. and Tahmasbi, R. (2011). A generalized Lindley distribution, Sankhya
B. 73, 331–359.
R Core Team (2020). R: A language and environment for statistical computing, R Foundation
for Statistical Computing, Vienna, Austria. URL https://www.R-project.org/.
Sankaran, M. (1970). The discrete Poisson-Lindley distribution, Biometrics, 26, 145–149.
Shanker, R. (2016). Sujatha distribution and its applications, Statistics in Transition New Series.;
17 (3), 391 – 410.
Shanker, R. and Hagos, F. (2016). On Poisson-Sujatha distribution and its applications to biological
sciences, Biometrics and Biostatistics International Journal, 2(4), 1 – 5.
Shanker, R., Shukla, K.K and Sigh, A.P (2018). A generalized Akash distribution, Biometrics and
Biostatistics International Journal, 7(1), 18‒26. DOI: 10.15406/bbij.2018.07.00187.
Shukla, K.K. (2019). Power Pranav distribution and its applications to model lifetime data, Journal of
Applied Quantitative Methods,14(2). http://www.jaqm.ro/issues/volume-14,issue-
2/2_SK.PHP.
Tesfay, M. and Shanker, R. (2019). Another two-parameter Sujatha Distribution with properties and
applications, Journal of Mathematical Sciences and Modelling, 2(1), 1 – 13. DOI:
http://dx.doi.org/10.33187/jmsm.416628.
Zakerzadeh, H. and Dolati, A. (2009). Generalized Lindley distribution, Journal of Mathematical
Extension, 3(2), 13–25.